31c/240 caterpillar working notes

[dvgrn]

Every synthesis in lwss_synth.rle has at least one glider coming from the front - here, it would be coming from outside of the spine. To launch LWSSes directly you'd end up having to build a seed.

Right, exactly!

The thing is, there's a huge search space waiting to be explored here -- not just building and then triggering a known LWSS seed with a slow salvo, but basically enumerating the possible collisions of glider pairs into existing ash left by previous glider-pair collisions, until the first sideways *WSSes start coming out.

A search like that would probably produce a whole lot of new glider rakes with different output lanes, as a potentially useful corollary.

[vilc]

Every synthesis in lwss_synth.rle has at least one glider coming from the front - here, it would be coming from outside of the spine. To launch LWSSes directly you'd end up having to build a seed.

Right, exactly!

The thing is, there's a huge search space waiting to be explored here -- not just building and then triggering a known LWSS seed with a slow salvo, but basically enumerating the possible collisions of glider pairs into existing ash left by previous glider-pair collisions, until the first sideways *WSSes start coming out.

A search like that would probably produce a whole lot of new glider rakes with different output lanes, as a potentially useful corollary.

I have started coding something like this, but I would like to know if I have understood correctly the requirements for the geometry. Would something similar to this collision (but cleaner) work ?

Code: Select all

x = 100, y = 60, rule = LifeHistory
97.A$97.A.A$97.2A28$63.A$62.A.A$62.A.A$63.A2$58.2A7.2A$57.A2.A5.A2.A$
58.2A7.2A2$63.A$62.A.A$5D57.A.A$D4.D57.A$D$.D3.D$3.D12$90.A$89.2A$89.
A.A!

Also, are there other kinds of output that it would be important to look for ?
Edit :
I forgot to ask this : to what extent are escaping gliders a problem?
Some cleaner collisions with a traffic light as the target :

Code: Select all

x = 67, y = 506, rule = B3/S23
64bo$64bobo$64b2o48$18bo$18bo$18bo2$14b3o3b3o2$18bo$18bo$18bo21$38b2o$
37b2o$39bo54$66bo$64b2o$65b2o48$12bo$12bo$12bo2$8b3o3b3o2$12bo$12bo$
12bo33$60b3o$60bo$61bo67$60bo$60bobo$60b2o48$8bo$8bo$8bo2$4b3o3b3o2$8b
o$8bo$8bo21$37b2o$37bobo$37bo57$54bo$52b2o$53b2o48$4bo$4bo$4bo2$3o3b3o
2$4bo$4bo$4bo12$24b2o$24bobo$24bo!

[dvgrn]

I have started coding something like this, but I would like to know if I have understood correctly the requirements for the geometry. Would something similar to this collision (but cleaner) work ?

Exactly, yes! Cleaner, and smaller envelope. Everything will need to fit in a 31-cell vertical slice without interacting with the raw materials for the next copy of the same reaction.

There's a weird and wonderful option that _could_ be checked for, where the *WSS-producing active reaction actually modifies the ash in the next higher slice, in the right way to produce the correct target for the next *WSS production. It sounds self-referential, but this is the kind of interesting thing that will just naturally drop out of search results on rare occasions if you give it a chance.

Also, are there other kinds of output that it would be important to look for ?

Clean glider outputs would also be potentially really useful, as I mentioned above. Could end up with a whole collection of alternate forerakes and backrakes, instead of just the standard rake/rephaser one. If there are enough of them shooting gliders on different lanes, it can really cut down the amount of rephasing that has to be done at various points.

I forgot to ask this : to what extent are escaping gliders a problem?

One or two gliders escaping outwards should be reasonably easy to shoot down -- I think -- with a leading or trailing rake. If a solution is otherwise very efficient, then it might be worth keeping it to have a look at.

On the other hand, *WSSes are common enough that it's likely that there are clean solutions out there that are just about as good as *WSS-with-extra-glider solutions. So if checking for *WSS+G causes any amount of extra difficulty in coding up the search program, it might not be worth the effort.

Some cleaner collisions with a traffic light as the target ...

Does the search code so far generate these glider-pair collisions in any particular order? The ideal enumeration would start with glider pairs generated by two successive rephaser/rakes, and work up from there until it starts finding minimum-length rephaser/rake chains that generate sideways *WSSes.

[Gustone]

A bit more than twice as small, twelve rows of crawlers total... using a particular two-step synthesis might make it even smaller. EDIT: No, that's as small as it goes, and i doubt that you will be able to whip up anything smaller either.

Clipboard.png (9.97 KiB) Viewed 8143 times

[vilc]

Main search is complete, around 20 millions of collisions analysed (with some overlapping). The best result is this clean LWSS :

Code: Select all

x = 154, y = 174, rule = LifeHistory
152.BA$151.2AB$150.2B2A$149.4B$148.4B$147.4B$146.4B$145.4B$144.4B$
143.4B$142.4B$141.4B$140.4B$139.4B$138.4B$137.4B$136.4B$135.4B$134.4B
$133.4B$132.4B$131.4B$130.4B$129.4B$128.4B$127.4B$126.4B$125.4B$124.
4B$123.4B$122.4B$121.4B$120.4B$119.4B$118.4B$117.4B$116.4B$115.4B$
114.4B$113.4B$112.4B$111.4B$110.4B$109.4B$108.4B$107.4B$106.4B$105.4B
$104.4B$103.4B$102.4B$101.4B$100.4B$99.4B$98.4B$97.4B$96.4B$95.4B$94.
4B$93.4B$92.4B$91.4B$90.4B$89.4B$88.4B$87.4B$86.4B$85.4B$84.4B$83.4B$
82.4B$81.4B$80.4B$79.4B$78.4B$77.4B$76.4B$51.2B22.4B$50.4B.3B16.4B$
43.2B2.B.11B13.4B$41.20B11.4B$40.21B10.4B$40.20B10.4B$41.20B.2B5.4B$
66B2.4B$53BA12B.4B$53BA11B.4B$53BA15B$58B2A8B$49.8BA2BA6B$49.8BABA6B$
49.9BA6B27.BA$50.4B2.8B27.2AB$50.4B.8B27.2B2A$51.2B2.7B27.4B$56.4B28.
4B$57.4B26.4B$58.4B24.4B$59.4B22.4B$60.4B20.4B$61.4B18.4B$62.4B16.4B$
63.4B14.4B$64.4B12.4B$65.4B10.4B$66.4B8.4B$67.4B6.4B$68.4B4.4B$51.2B
16.4B2.4B$50.4B.3B12.8B$43.2B2.B.11B11.6B$41.20B11.4B$40.21B10.6B$40.
20B10.8B$41.20B.2B5.4B2.4B$66B2.4B4.4B$53BA12B.4B6.4B$53BA11B.4B8.4B$
53BA15B10.4B$58B2A8B12.4B$49.8BA2BA6B14.4B$49.8BABA6B16.4B$49.9BA6B
18.4B$50.4B2.8B20.4B$50.4B.8B22.4B$51.2B2.7B24.4B$56.4B27.4B$57.4B27.
4B$58.4B27.4B$59.4B27.4B$60.4B27.4B$61.4B27.4B$62.4B27.4B$63.4B27.4B$
64.4B27.4B$65.4B27.4B$66.4B27.4B$67.4B27.4B$68.4B27.4B$69.4B27.4B$70.
4B27.4B$71.4B27.4B$72.B3A27.4B$73.A2B28.4B$74.A30.4B$106.4B$107.4B$
108.4B$109.4B$110.4B$111.4B$112.4B$113.4B$114.4B$115.4B$116.4B$117.4B
$118.4B$119.4B$120.4B$121.4B$122.4B$123.4B$124.4B$125.4B$126.4B$127.
4B$128.4B$129.4B$130.4B$131.4B$132.B3A$133.A2B$134.A!

Some almost clean collisions producing all types of XWSS that work at 31c/240 (some of these can be reversed vertically) :

Code: Select all

x = 2083, y = 774, rule = LifeHistory
2082.B$2081.2B$2080.3B$2079.4B$2078.4B$2077.4B$2076.4B$2075.4B$2074.
4B$2073.4B$2072.4B$2071.4B$411.F182.F1475.4B$411.F182.F1474.4B$240.F
170.F182.F155.F182.F182.F210.F740.4B$240.F170.F182.F155.F182.F182.F
210.F739.4B$240.F170.F182.F155.F182.F182.F210.F738.4B$190.BA48.F170.F
182.F155.F182.F182.F210.F737.4B$189.2AB48.F170.F182.F155.F182.F182.F
210.F736.4B$188.2B2A48.F170.F182.F155.F182.F182.F210.F387.F347.4B$
187.4B49.F170.F182.F155.F182.F182.F210.F387.F198.F147.4B$186.4B50.F
170.F182.F155.F182.F182.F210.F203.F183.F198.F146.4B$185.4B51.F170.F
182.F155.F182.F182.F210.F203.F183.F198.F145.4B$184.4B52.F170.F182.F
155.F182.F182.F210.F203.F183.F198.F144.4B$183.4B53.F170.F182.F155.F
182.F182.F210.F203.F183.F170.AB26.F143.4B$182.4B54.F170.F182.F155.F
146.AB34.F182.F210.F203.F183.F169.BABA25.F142.4B$181.4B55.F170.F182.F
155.F145.BABA33.F182.F210.F203.F183.F168.2B2A26.F141.4B$180.4B56.F
170.F182.F155.F144.2B2A34.F182.F210.F152.BA49.F183.F167.4B27.F140.4B$
179.4B57.F170.F182.F155.F143.4B35.F182.F210.F151.2AB49.F183.F166.4B
28.F139.4B$178.4B58.F170.F182.F155.F142.4B36.F182.F210.F150.2B2A49.F
152.AB29.F165.4B29.F138.4B$177.4B59.F170.F182.F155.F141.4B37.F141.BA
39.F210.F149.4B50.F151.BABA28.F164.4B30.F137.4B$176.4B60.F170.F182.F
155.F140.4B38.F140.2AB39.F169.AB39.F148.4B51.F150.2B2A29.F163.4B31.F
136.4B27.B$175.4B61.F170.F182.F155.F139.4B39.F139.2B2A39.F168.BABA38.
F147.4B52.F149.4B30.F162.4B32.F135.4B27.2B$174.4B62.F170.F182.F155.F
138.4B40.F138.4B40.F167.2B2A39.F146.4B53.F148.4B31.F161.4B33.F134.4B
27.3B$173.4B63.F170.F137.BA43.F155.F137.4B41.F137.4B41.F166.4B40.F
145.4B54.F147.4B32.F160.4B34.F133.4B27.4B$172.4B64.F170.F136.2AB43.F
155.F136.4B42.F136.4B42.F165.4B41.F144.4B55.F146.4B33.F159.4B35.F132.
4B27.4B$171.4B65.F129.AB39.F135.2B2A43.F155.F135.4B43.F135.4B43.F164.
4B42.F143.4B56.F145.4B34.F158.4B36.F131.4B27.4B$170.4B66.F128.BABA38.
F134.4B44.F155.F134.4B44.F134.4B44.F163.4B43.F142.4B57.F144.4B35.F
157.4B37.F130.4B27.4B$169.4B67.F127.2B2A39.F133.4B45.F119.AB34.F133.
4B45.F133.4B45.F162.4B44.F141.4B58.F143.4B36.F156.4B38.F129.4B27.4B$
168.4B68.F126.4B40.F132.4B46.F118.BABA33.F132.4B46.F132.4B46.F161.4B
45.F140.4B59.F142.4B37.F155.4B39.F128.4B14.BA11.4B$167.4B69.F125.4B
41.F131.4B47.F117.2B2A34.F131.4B47.F131.4B47.F160.4B46.F139.4B60.F
141.4B38.F154.4B40.F127.4B14.2AB10.4B$166.4B70.F124.4B42.F130.4B48.F
116.4B35.F130.4B48.F130.4B48.F159.4B47.F138.4B61.F140.4B39.F153.4B41.
F126.4B14.2B2A9.4B$165.4B71.F123.4B43.F129.4B49.F115.4B36.F129.4B49.F
129.4B49.F158.4B48.F137.4B62.F139.4B40.F152.4B42.F125.4B14.4B9.4B$
164.4B72.F122.4B44.F128.4B50.F114.4B37.F128.4B50.F128.4B50.F157.4B49.
F136.4B63.F138.4B41.F151.4B43.F124.4B14.4B9.4B$163.4B73.F121.4B45.F
127.4B51.F113.4B38.F127.4B51.F127.4B51.F156.4B50.F135.4B64.F137.4B42.
F150.4B44.F123.4B14.4B9.4B$162.4B74.F120.4B46.F126.4B52.F112.4B39.F
126.4B52.F126.4B52.F155.4B51.F134.4B65.F136.4B43.F149.4B45.F122.4B14.
4B9.4B$161.4B75.F119.4B47.F125.4B53.F111.4B40.F125.4B53.F125.4B53.F
154.4B52.F133.4B66.F135.4B44.F148.4B46.F121.4B14.4B9.4B$160.4B76.F
118.4B48.F124.4B54.F110.4B41.F124.4B54.F124.4B54.F153.4B53.F132.4B67.
F134.4B45.F147.4B47.F120.4B14.4B9.4B$159.4B77.F117.4B49.F123.4B55.F
109.4B42.F123.4B55.F123.4B55.F152.4B54.F131.4B68.F133.4B46.F146.4B48.
F119.4B14.4B9.4B$158.4B78.F116.4B50.F122.4B56.F108.4B43.F122.4B56.F
122.4B56.F151.4B55.F130.4B69.F132.4B47.F145.4B49.F118.4B14.4B9.4B$
157.4B79.F115.4B51.F121.4B57.F107.4B44.F121.4B57.F121.4B57.F150.4B56.
F129.4B70.F131.4B48.F144.4B50.F117.4B14.4B9.4B$156.4B80.F114.4B52.F
120.4B58.F106.4B45.F120.4B58.F120.4B58.F149.4B57.F128.4B71.F130.4B49.
F143.4B51.F116.4B14.4B9.4B$155.4B81.F113.4B53.F119.4B59.F105.4B46.F
119.4B59.F119.4B59.F148.4B58.F127.4B72.F129.4B50.F142.4B52.F115.4B14.
4B9.4B$154.4B82.F112.4B54.F118.4B60.F104.4B47.F118.4B60.F118.4B60.F
147.4B59.F126.4B73.F128.4B51.F141.4B53.F114.4B14.4B9.4B$153.4B83.F
111.4B55.F117.4B61.F103.4B48.F117.4B61.F117.4B61.F146.4B60.F125.4B74.
F127.4B52.F140.4B54.F113.4B14.4B9.4B$152.4B84.F110.4B56.F116.4B62.F
102.4B49.F116.4B62.F116.4B62.F145.4B61.F124.4B75.F126.4B53.F139.4B55.
F112.4B14.4B9.4B$151.4B85.F109.4B57.F115.4B63.F101.4B50.F115.4B63.F
115.4B63.F144.4B62.F123.4B76.F125.4B54.F138.4B56.F111.4B14.4B9.4B$
150.4B86.F108.4B58.F114.4B64.F100.4B51.F114.4B64.F114.4B64.F143.4B63.
F122.4B77.F124.4B55.F137.4B57.F110.4B14.4B9.4B$149.4B87.F107.4B59.F
113.4B65.F99.4B52.F113.4B65.F113.4B65.F142.4B64.F121.4B78.F123.4B56.F
136.4B58.F109.4B14.4B9.4B$148.4B88.F106.4B60.F112.4B66.F98.4B53.F112.
4B66.F112.4B66.F141.4B65.F120.4B79.F122.4B57.F135.4B59.F108.4B14.4B9.
4B$147.4B89.F105.4B61.F111.4B67.F97.4B54.F111.4B67.F111.4B67.F140.4B
66.F119.4B80.F121.4B58.F134.4B60.F107.4B14.4B9.4B$146.4B90.F104.4B62.
F110.4B68.F96.4B55.F110.4B68.F110.4B68.F139.4B67.F118.4B81.F120.4B59.
F133.4B61.F106.4B14.4B9.4B$145.4B91.F103.4B63.F109.4B69.F95.4B56.F
109.4B69.F109.4B69.F138.4B68.F117.4B82.F119.4B60.F132.4B62.F105.4B14.
4B9.4B$144.4B92.F102.4B64.F108.4B70.F94.4B57.F108.4B70.F108.4B70.F
137.4B69.F116.4B83.F118.4B61.F131.4B63.F104.4B14.4B9.4B$143.4B93.F
101.4B65.F107.4B71.F93.4B58.F107.4B71.F107.4B71.F136.4B70.F115.4B84.F
117.4B62.F130.4B64.F103.4B14.4B9.4B$142.4B94.F100.4B66.F106.4B72.F92.
4B59.F106.4B72.F106.4B72.F135.4B71.F114.4B85.F116.4B63.F129.4B65.F
102.4B14.4B9.4B$141.4B95.F99.4B67.F105.4B73.F91.4B60.F105.4B73.F105.
4B73.F134.4B72.F113.4B86.F115.4B64.F128.4B66.F101.4B14.4B9.4B$140.4B
96.F98.4B68.F104.4B74.F90.4B61.F104.4B74.F104.4B74.F133.4B73.F112.4B
87.F114.4B65.F127.4B67.F100.4B14.4B9.4B$139.4B97.F97.4B69.F103.4B75.F
89.4B62.F103.4B75.F103.4B75.F132.4B74.F111.4B88.F113.4B66.F126.4B68.F
99.4B14.4B9.4B$138.4B98.F96.4B70.F102.4B76.F88.4B63.F102.4B76.F102.4B
76.F131.4B75.F110.4B89.F112.4B67.F125.4B69.F98.4B14.4B9.4B$137.4B99.F
95.4B71.F101.4B77.F87.4B64.F101.4B77.F101.4B77.F130.4B76.F109.4B90.F
111.4B68.F124.4B70.F97.4B14.4B9.4B$136.4B100.F94.4B72.F100.4B78.F86.
4B65.F100.4B78.F100.4B78.F129.4B77.F108.4B91.F110.4B69.F123.4B71.F96.
4B14.4B9.4B$135.4B101.F93.4B73.F99.4B79.F85.4B66.F99.4B79.F99.4B79.F
128.4B78.F107.4B92.F109.4B70.F122.4B72.F95.4B14.4B9.4B$134.4B102.F92.
4B74.F98.4B80.F84.4B67.F98.4B80.F98.4B80.F127.4B79.F106.4B93.F108.4B
71.F121.4B73.F94.4B14.4B9.4B$133.4B103.F91.4B75.F97.4B81.F83.4B68.F
97.4B81.F97.4B81.F126.4B80.F105.4B94.F107.4B72.F120.4B74.F93.4B14.4B
9.4B$132.4B104.F90.4B76.F96.4B82.F82.4B69.F96.4B82.F96.4B82.F125.4B
81.F104.4B95.F106.4B73.F119.4B75.F92.4B14.4B9.4B$131.4B105.F89.4B77.F
95.4B83.F81.4B70.F95.4B83.F95.4B83.F124.4B82.F103.4B96.F105.4B74.F
118.4B76.F91.4B14.4B9.4B$130.4B106.F88.4B78.F94.4B84.F80.4B71.F94.4B
84.F94.4B84.F123.4B83.F102.4B97.F104.4B75.F117.4B77.F90.4B14.4B9.4B$
129.4B107.F87.4B79.F93.4B85.F79.4B72.F93.4B85.F93.4B85.F122.4B84.F
101.4B98.F103.4B76.F116.4B78.F89.4B14.4B9.4B$128.4B108.F86.4B80.F92.
4B86.F78.4B73.F92.4B86.F92.4B86.F121.4B85.F100.4B99.F102.4B77.F115.4B
79.F88.4B14.4B9.4B$127.4B109.F85.4B81.F91.4B87.F77.4B74.F91.4B87.F91.
4B87.F120.4B86.F99.4B100.F101.4B78.F114.4B80.F87.4B14.4B9.4B$126.4B
110.F84.4B82.F90.4B88.F76.4B75.F90.4B88.F90.4B88.F119.4B87.F98.4B101.
F100.4B79.F113.4B81.F86.4B14.4B9.4B$125.4B111.F83.4B83.F89.4B89.F75.
4B76.F89.4B89.F89.4B89.F118.4B88.F97.4B102.F99.4B80.F112.4B82.F85.4B
14.4B9.4B$124.4B112.F82.4B84.F88.4B90.F74.4B77.F88.4B90.F88.4B90.F
117.4B89.F96.4B103.F98.4B81.F111.4B83.F84.4B14.4B9.4B$123.4B113.F81.
4B85.F87.4B91.F73.4B78.F87.4B91.F87.4B91.F116.4B90.F95.4B104.F97.4B
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94.F70.4B81.F84.4B94.F84.4B94.F113.4B93.F92.4B107.F94.4B85.F107.4B87.
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123.F71.4B95.F77.4B101.F63.4B88.F77.4B101.F77.4B101.F106.4B100.F85.4B
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103.F49B8.4B5.4B5.4B$96.2D2B23.4B113.F.67B2D7B2DB13.4B73.F32.12B16.8B
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$105B27.4B104.F57.18B27.4B64.F32.23B18.4B105.F.35B3D11B27.4B74.F58B
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18B28.4B63.F32.4BD17B20.4B104.F51B27.4B73.F.58B15.4B104.F63B4.4B27.4B
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101.F55.A.A13B.B32.4B61.F31.5BD21B18.4B102.F41B3A9B27.4B71.F47.DB.10B
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67B12.4B100.F88B16.4B90.F44.7BDBD4B4.4B13.4B$95.3B2A2B3.4B27.4B100.F
56.A13B36.4B60.F30.27B20.4B101.F.53B27.4B70.F46.DBD5BA8B3.4B7.4B101.F
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42.5B3A2BD6B2.4B15.4B$96.4B6.4B27.4B99.F56.7B3.3B38.4B59.F30.26B22.4B
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4B27.4B80.F.54BA12B27.4B104.F.44B3A3B3A14B13.4B98.F82BD5B18.4B88.F42.
22B17.4B$96.3B8.4B27.4B98.F57.B50.4B58.F30.25B24.4B99.F34.17BD4B27.4B
68.F46.BD5BA2BA13B9.4B99.F47.3A3B3A16.4B27.4B75.F79.D5.D10.4B27.4B79.
F45.10BA8B.4B27.4B103.F45.24B13.4B97.F.80BDBD3B20.4B87.F42.21B19.4B$
108.4B27.4B97.F109.4B57.F30.18B.6B25.4B98.F35.16BD.4B27.4B67.F47.7B2A
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4B27.4B102.F46.3BA19B14.4B96.F73.8BDBD3B21.4B86.F42.20B21.4B$109.4B
27.4B96.F110.4B56.F31.16B2.5B27.4B97.F35.15B4.4B27.4B66.F47.2BA18B13.
4B97.F45.6BA5B17.4B27.4B73.F79.D5.D12.4B27.4B77.F43.8BD9B2D4.4B27.4B
101.F48.BA18B16.4B95.F74.8BD3B23.4B85.F43.18B23.4B$110.4B27.4B95.F
111.4B55.F35.12B.7B27.4B96.F35.15B5.4B27.4B65.F47.2BA17B15.4B96.F42.
9BA9B14.4B27.4B72.F82.A16.4B27.4B76.F42.9BD7B.B2D5.4B27.4B100.F49.A
18B17.4B94.F74.10B26.4B84.F44.16B25.4B$111.4B27.4B94.F112.4B54.F35.
16B.4B27.4B95.F35.13B8.4B27.4B64.F46.3BA17B16.4B95.F40.11BA9B15.4B27.
4B71.F81.DAD16.4B27.4B75.F43.15B3.B7.4B27.4B99.F48.19B19.4B93.F75.9B
27.4B83.F43.16B27.4B$112.4B27.4B93.F113.4B53.F35.15B3.4B27.4B94.F36.
12B9.3BA27.4B63.F46.21B17.4B94.F40.22B15.4B27.4B70.F82.A18.4B27.4B74.
F43.16B11.4B27.4B98.F49.9B2A5B22.4B92.F76.3B2.4B27.4B82.F43.11B2.4B
27.4B$113.4B27.4B92.F114.4B52.F34.15B5.4B27.4B93.F36.3D8B11.B2AB27.4B
62.F47.20B18.4B93.F39.14BD9B15.4B27.4B69.F102.4B27.4B73.F43.19B9.4B
27.4B97.F50.7B2A6B23.4B91.F77.B4.4B27.4B81.F43.9B5.4B27.4B$114.4B27.
4B91.F115.4B51.F34.14B7.4B27.4B92.F37.B3.7B11.ABA28.4B61.F47.20B19.4B
92.F39.13BDBD8B16.4B27.4B68.F103.4B27.4B72.F44.5B2D13B8.4B27.4B96.F
51.8BA4B25.4B90.F83.4B27.4B80.F44.7B7.4B27.4B$115.4B27.4B90.F116.4B
50.F35.BD10B9.4B27.4B91.F41.7B43.4B60.F48.18B21.4B91.F39.3D5B.4BDBD6B
19.4B27.4B67.F104.4B27.4B71.F45.3BD2BD12B9.4B27.4B95.F53.4B5.B27.4B
89.F84.4B27.4B79.F45.5B9.4B27.4B$116.4B27.4B89.F117.4B49.F35.DBD9B10.
4B27.4B90.F41.8B43.4B59.F51.14B23.4B90.F40.6B3.4BD5B22.4B27.4B66.F
105.4B27.4B70.F45.4B2D14B9.4B27.4B94.F91.4B88.F85.4B27.4B78.F44.6B10.
4B27.4B$117.4B27.4B88.F118.4B48.F34.BDBD8B12.4B27.4B89.F40.8B45.4B58.
F52.5BD8B23.4B89.F42.3B6.3B2.3B23.4B27.4B65.F106.4B27.4B69.F46.19B10.
4B27.4B93.F92.4B87.F86.4B27.4B77.F44.7B10.4B27.4B$118.4B27.4B87.F119.
4B47.F35.BD7B15.4B27.4B88.F41.7B46.4B57.F52.4BDBD8B23.4B88.F51.3B2.2B
25.4B27.4B64.F107.4B27.4B68.F46.18B12.4B27.4B92.F93.4B86.F87.4B27.4B
76.F44.8B10.4B27.4B$119.4B27.4B86.F120.4B46.F35.9B16.4B27.4B87.F42.3B
DB48.4B56.F54.BD2BD7B25.4B87.F52.B31.4B27.4B63.F108.4B27.4B67.F47.17B
13.4B27.4B91.F94.4B85.F88.4B27.4B75.F.51B11.4B27.4B$120.4B27.4B85.F
121.4B45.F35.9B17.4B27.4B86.F42.2BDBD49.4B55.F56.2D7B27.4B86.F85.4B
27.4B62.F109.4B27.4B66.F47.16B15.4B27.4B90.F95.4B84.F89.4B27.4B74.F
52B12.4B27.4B$121.4B27.4B84.F122.4B44.F36.8B18.4B27.4B85.F43.D2BD50.
4B54.F56.10B27.4B85.F86.4B27.4B61.F110.4B27.4B65.F49.B.9B.B17.4B27.4B
89.F96.4B83.F90.4B27.4B73.F51B14.4B27.4B$122.4B27.4B83.F123.4B43.F36.
7B20.2B2A27.4B84.F44.2D52.4B53.F57.3B2D.4B27.4B84.F87.4B27.4B60.F111.
4B27.4B64.F51.10B19.4B27.4B88.F97.4B82.F91.4B27.4B72.F49B17.4B27.4B$
123.4B27.4B82.F124.4B42.F38.B.4B20.BABA27.4B83.F99.4B52.F59.B2D2.4B
27.4B83.F88.4B27.4B59.F112.4B27.4B63.F51.9B21.4B27.4B87.F98.4B81.F92.
4B27.4B71.F.48B18.4B27.4B$124.4B27.4B81.F125.4B41.F40.4B21.AB29.4B82.
F100.4B51.F65.4B27.4B82.F89.4B27.4B58.F113.4B27.4B62.F51.9B22.4B27.4B
86.F99.4B80.F93.4B27.4B70.F47.2B19.3BA27.4B$125.4B27.4B80.F126.4B40.F
41.2B54.4B81.F101.4B50.F66.4B27.4B81.F90.4B27.4B57.F114.B3A27.4B61.F
53.5B25.4B27.4B85.F100.4B79.F94.4B27.4B69.F69.B2AB27.4B$126.4B27.4B
79.F127.3BA39.F98.4B80.F102.4B49.F67.4B27.4B80.F91.4B27.4B56.F115.A2B
28.4B60.F53.4B27.4B27.4B84.F101.4B78.F95.4B27.4B68.F70.ABA28.4B$127.
4B27.4B78.F128.B2AB38.F99.4B79.F103.4B48.F68.4B27.4B79.F92.4B27.4B55.
F116.A30.4B59.F54.2B29.4B27.4B83.F102.4B77.F96.4B27.4B67.F102.4B$128.
2B2A27.4B77.F129.ABA38.F100.4B78.F104.4B47.F69.4B27.4B78.F93.4B27.4B
54.F148.4B58.F86.4B27.4B82.F103.4B76.F97.4B27.4B66.F103.4B$129.BABA
27.4B76.F170.F101.4B77.F105.4B46.F70.4B27.4B77.F94.2B2A27.4B53.F149.
4B57.F87.4B27.4B81.F104.4B75.F98.4B27.4B65.F104.4B$130.AB29.4B75.F
170.F102.4B76.F106.4B45.F71.4B27.4B76.F95.2AB28.4B52.F150.4B56.F88.4B
27.4B80.F105.4B74.F99.4B27.4B64.F105.4B$162.4B74.F170.F103.4B75.F107.
4B44.F72.4B27.4B75.F96.BA29.4B51.F151.4B55.F89.4B27.4B79.F106.4B73.F
100.4B27.4B63.F106.4B$163.4B73.F170.F104.4B74.F108.4B43.F73.4B27.4B
74.F128.4B50.F152.4B54.F90.4B27.4B78.F107.4B72.F101.4B27.4B62.F107.4B
$164.4B72.F170.F105.4B73.F109.4B42.F74.4B27.4B73.F129.4B49.F153.4B53.
F91.4B27.4B77.F108.4B71.F102.4B27.4B61.F108.4B$165.4B71.F170.F106.4B
72.F110.4B41.F75.2B2A27.4B72.F130.4B48.F154.4B52.F92.4B27.4B76.F109.
4B70.F103.4B27.4B60.F109.4B$166.4B70.F170.F107.4B71.F111.4B40.F76.BAB
A27.4B71.F131.4B47.F155.4B51.F93.4B27.4B75.F110.4B69.F104.4B27.4B59.F
110.4B$167.4B69.F170.F108.4B70.F112.4B39.F77.AB29.4B70.F132.4B46.F
156.4B50.F94.4B27.4B74.F111.4B68.F105.4B27.4B58.F111.4B$168.4B68.F
170.F109.4B69.F113.4B38.F109.4B69.F133.4B45.F157.4B49.F95.4B27.4B73.F
112.4B67.F106.2B2A27.4B57.F112.4B$169.4B67.F170.F110.4B68.F114.4B37.F
110.4B68.F134.4B44.F158.4B48.F96.4B27.4B72.F113.4B66.F107.2AB28.4B56.
F113.4B$170.4B66.F170.F111.4B67.F115.4B36.F111.4B67.F135.4B43.F159.4B
47.F97.2B2A27.4B71.F114.4B65.F108.BA29.4B55.F114.4B$171.4B65.F170.F
112.4B66.F116.4B35.F112.4B66.F136.4B42.F160.4B46.F98.BABA27.4B70.F
115.4B64.F140.4B54.F115.4B$172.4B64.F170.F113.4B65.F117.3BA34.F113.4B
65.F137.4B41.F161.4B45.F99.AB29.4B69.F116.2B2A63.F141.4B53.F116.4B$
173.4B63.F170.F114.4B64.F118.B2AB33.F114.4B64.F138.4B40.F162.4B44.F
131.4B68.F117.2AB63.F142.4B52.F117.4B$174.4B62.F170.F115.4B63.F119.AB
A33.F115.4B63.F139.4B39.F163.4B43.F132.4B67.F118.BA63.F143.4B51.F118.
4B$175.4B61.F170.F116.4B62.F155.F116.4B62.F140.4B38.F164.4B42.F133.4B
66.F183.F144.4B50.F119.4B$176.4B60.F170.F117.4B61.F155.F117.4B61.F
141.4B37.F165.4B41.F134.4B65.F183.F145.4B49.F120.4B$177.4B59.F170.F
118.4B60.F155.F118.4B60.F142.4B36.F166.4B40.F135.4B64.F183.F146.4B48.
F121.4B$178.4B58.F170.F119.4B59.F155.F119.4B59.F143.4B35.F167.4B39.F
136.4B63.F183.F147.4B47.F122.4B$179.4B57.F170.F120.4B58.F155.F120.4B
58.F144.4B34.F168.4B38.F137.4B62.F183.F148.4B46.F123.4B$180.4B56.F
170.F121.4B57.F155.F121.4B57.F145.4B33.F169.4B37.F138.4B61.F183.F149.
4B45.F124.4B$181.4B55.F170.F122.4B56.F155.F122.4B56.F146.4B32.F170.4B
36.F139.4B60.F183.F150.4B44.F125.4B$182.4B54.F170.F123.2B2A55.F155.F
123.4B55.F147.4B31.F171.4B35.F140.4B59.F183.F151.4B43.F126.4B$183.4B
53.F170.F124.BABA54.F155.F124.4B54.F148.4B30.F172.4B34.F141.4B58.F
183.F152.4B42.F127.4B$184.4B52.F170.F125.AB55.F155.F125.4B53.F149.4B
29.F173.4B33.F142.4B57.F183.F153.4B41.F128.3BA$185.4B51.F170.F182.F
155.F126.4B52.F150.4B28.F174.B3A32.F143.4B56.F183.F154.4B40.F129.B2AB
$186.4B50.F170.F182.F155.F127.4B51.F151.4B27.F175.A2B32.F144.4B55.F
183.F155.4B39.F130.ABA$187.4B49.F170.F182.F155.F128.4B50.F152.4B26.F
176.A33.F145.4B54.F183.F156.4B38.F$188.2B2A48.F170.F182.F155.F129.4B
49.F153.4B25.F210.F146.4B53.F183.F157.4B37.F$189.BABA47.F170.F182.F
155.F130.4B48.F154.2B2A24.F210.F147.4B52.F183.F158.4B36.F$190.AB48.F
170.F182.F155.F131.4B47.F155.2AB24.F210.F148.4B51.F183.F159.4B35.F$
240.F170.F182.F155.F132.4B46.F156.BA24.F210.F149.4B50.F183.F160.4B34.
F$240.F509.F133.4B45.F182.F210.F150.4B49.F183.F161.4B33.F$240.F509.F
134.4B44.F182.F210.F151.4B48.F183.F162.4B32.F$886.2B2A590.4B47.F183.F
163.4B31.F$887.BABA590.4B46.F183.F164.4B30.F$888.AB592.4B45.F183.F
165.4B29.F$1483.4B44.F183.F166.2B2A28.F$1484.4B43.F183.F167.2AB28.F$
1485.2B2A42.F352.BA28.F$1486.BABA41.F$1487.AB129$242.F241.F$242.F241.
F$242.F187.AB52.F$182.AB58.F186.BABA51.F$181.BABA57.F185.2B2A52.F269.
F$180.2B2A58.F184.4B53.F269.F$179.4B59.F183.4B54.F269.F237.BA$178.4B
60.F182.4B55.F269.F236.2AB41.F$177.4B61.F181.4B56.F200.AB67.F235.2B2A
41.F$176.4B62.F180.4B57.F199.BABA66.F234.4B42.F$175.4B63.F179.4B58.F
198.2B2A67.F233.4B43.F195.AB$174.4B64.F178.4B59.F197.4B68.F232.4B44.F
194.BABA$173.4B65.F177.4B60.F196.4B69.F231.4B45.F193.2B2A$172.4B66.F
176.4B61.F195.4B70.F230.4B46.F192.4B$171.4B67.F175.4B62.F194.4B71.F
229.4B47.F191.4B$170.4B68.F174.4B63.F193.4B72.F228.4B48.F190.4B$169.
4B69.F173.4B64.F192.4B73.F227.4B49.F189.4B$168.4B70.F172.4B65.F191.4B
74.F226.4B50.F188.4B$167.4B71.F171.4B66.F190.4B75.F225.4B51.F187.4B$
166.4B72.F170.4B67.F189.4B76.F224.4B52.F186.4B$165.4B73.F169.4B68.F
188.4B77.F223.4B53.F185.4B$164.4B74.F168.4B69.F187.4B78.F222.4B54.F
184.4B$163.4B75.F167.4B70.F186.4B79.F221.4B55.F183.4B$162.4B76.F166.
4B71.F185.4B80.F220.4B56.F182.4B$161.4B77.F165.4B72.F184.4B81.F219.4B
57.F181.4B$160.4B78.F164.4B73.F183.4B82.F218.4B58.F180.4B$159.4B79.F
163.4B74.F182.4B83.F217.4B59.F179.4B$158.4B80.F162.4B75.F181.4B84.F
216.4B60.F178.4B$157.4B81.F161.4B76.F180.4B85.F215.4B61.F177.4B$156.
4B82.F160.4B77.F179.4B86.F214.4B62.F176.4B$155.4B83.F159.4B78.F178.4B
87.F213.4B63.F175.4B$154.4B84.F158.4B79.F177.4B88.F212.4B64.F174.4B$
153.4B85.F157.4B80.F176.4B89.F211.4B65.F173.4B$152.4B86.F156.4B81.F
175.4B90.F210.4B66.F172.4B$151.4B87.F155.4B82.F174.4B91.F209.4B67.F
171.4B$150.4B88.F154.4B83.F173.4B92.F208.4B68.F170.4B$149.4B89.F153.
4B84.F172.4B93.F207.4B69.F169.4B$148.4B90.F152.4B85.F171.4B94.F206.4B
70.F168.4B$147.4B91.F151.4B86.F170.4B95.F205.4B71.F167.4B$146.4B92.F
150.4B87.F169.4B96.F204.4B72.F166.4B$145.4B93.F149.4B88.F168.4B97.F
203.4B73.F165.4B$144.4B94.F148.4B89.F167.4B98.F202.4B74.F164.4B$143.
4B95.F147.4B90.F166.4B99.F201.4B75.F163.4B$142.4B96.F146.4B91.F165.4B
100.F200.4B76.F162.4B$141.4B97.F145.4B92.F164.4B101.F199.4B77.F161.4B
$140.4B98.F144.4B93.F163.4B102.F198.4B78.F160.4B$139.4B99.F143.4B94.F
162.4B103.F197.4B79.F159.4B$138.4B100.F142.4B95.F161.4B104.F196.4B80.
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27.4B79.F166.4B27.4B79.F184.4B$165.4B73.F165.4B72.F156.4B27.4B78.F
167.4B27.4B78.F185.4B$166.4B72.F166.4B71.F157.4B27.4B77.F168.4B27.4B
77.F186.4B$167.4B71.F167.4B70.F158.2B2A27.4B76.F169.4B27.4B76.F187.4B
$168.4B70.F168.4B69.F159.BABA27.4B75.F170.4B27.4B75.F188.4B$169.4B69.
F169.4B68.F160.AB29.4B74.F171.4B27.4B74.F189.4B$170.4B68.F170.4B67.F
192.4B73.F172.4B27.4B73.F190.4B$171.4B67.F171.4B66.F193.4B72.F173.B3A
27.4B72.F191.4B$172.4B66.F172.4B65.F194.4B71.F174.A2B28.4B71.F192.4B$
173.4B65.F173.4B64.F195.4B70.F175.A30.4B70.F193.4B$174.4B64.F174.4B
63.F196.4B69.F207.4B69.F194.4B$175.4B63.F175.4B62.F197.4B68.F208.4B
68.F195.4B$176.4B62.F176.4B61.F198.4B67.F209.4B67.F196.3BA$177.4B61.F
177.3BA60.F199.4B66.F210.4B66.F197.B2AB$178.4B60.F178.B2AB59.F200.4B
65.F211.4B65.F198.ABA$179.4B59.F179.ABA59.F201.4B64.F212.4B64.F$180.
4B58.F241.F202.4B63.F213.4B63.F$181.2B2A57.F241.F203.4B62.F214.4B62.F
$182.BABA56.F241.F204.4B61.F215.4B61.F$183.AB57.F241.F205.4B60.F216.
4B60.F$242.F241.F206.4B59.F217.4B59.F$242.F241.F207.4B58.F218.4B58.F$
242.F241.F208.4B57.F219.4B57.F$242.F241.F209.4B56.F220.4B56.F$242.F
241.F210.4B55.F221.4B55.F$242.F241.F211.4B54.F222.4B54.F$242.F241.F
212.4B53.F223.4B53.F$242.F241.F213.4B52.F224.4B52.F$242.F241.F214.4B
51.F225.4B51.F$242.F241.F215.4B50.F226.4B50.F$242.F241.F216.4B49.F
227.4B49.F$242.F241.F217.4B48.F228.4B48.F$242.F241.F218.2B2A47.F229.
4B47.F$242.F241.F219.BABA46.F230.4B46.F$242.F241.F220.AB47.F231.4B45.
F$754.F232.4B44.F$754.F233.B3A43.F$754.F234.A2B43.F$754.F235.A44.F$
1035.F$1035.F$1035.F57$153.AB$152.BABA$151.2B2A$150.4B$149.4B$148.4B$
147.4B$146.4B$145.4B$144.4B$143.4B$142.4B$141.4B$140.4B$139.4B$138.4B
$137.4B$136.4B$135.4B$134.4B$133.4B$132.4B$131.4B$130.4B$129.4B$128.
4B$127.4B$126.4B$125.4B$124.4B$123.4B$122.4B$121.4B$120.4B$119.4B$
118.4B$117.4B$116.4B$115.4B$114.4B$113.4B$112.4B$111.4B$110.4B$109.4B
$108.4B$107.4B$106.4B$105.4B$104.4B$103.4B$102.4B$101.4B$100.4B$99.4B
$98.4B$97.4B$96.4B$95.4B$94.4B$78.B8.B5.4B$77.13B2.4B$76.5B2D14B$76.
4BD2BD14B$75.6B2D16B$75.24B$74.25B$74.25B$74.14B2D10B$75.13B2D11B$74.
28B$73.15BA14B$74.13BABA12B$75.12BA2BA11B$88B2A11B$83BA16B$83BA16B$
83BA16B$99B$98B$90B.7B$70.29B$71.20B.B3.4B$73.2B2.B.11B7.4B$80.8B10.
4B$81.2B16.4B$100.4B$101.4B$102.4B$103.4B$104.4B$78.B8.B5.AB10.4B$77.
13B2.BABA10.4B$76.5B2D10B2A2B10.4B$76.4BD2BD14B10.4B$75.6B2D16B10.4B$
75.24B11.4B$74.25B12.4B$74.25B13.4B$74.14B2D10B13.4B$75.13B2D11B13.4B
$74.28B13.4B$73.15BA14B13.4B$74.13BABA12B15.4B$75.12BA2BA11B16.4B$88B
2A11B18.4B$83BA16B20.4B$83BA16B21.4B$83BA16B22.4B$99B24.4B$98B26.4B$
90B.7B27.4B$70.29B27.4B$71.20B.B3.4B27.4B$73.2B2.B.11B7.4B27.4B$80.8B
10.4B27.4B$81.2B16.4B27.4B$100.4B27.4B$101.4B27.4B$102.4B27.4B$103.4B
27.4B$104.4B27.4B$105.4B27.4B$106.4B27.4B$107.4B27.4B$108.4B27.4B$
109.4B27.4B$110.4B27.4B$111.4B27.4B$112.4B27.4B$113.4B27.4B$114.2B2A
27.4B$115.BABA27.4B$116.AB29.4B$148.4B$149.4B$150.4B$151.4B$152.4B$
153.4B$154.4B$155.4B$156.4B$157.4B$158.4B$159.4B$160.4B$161.4B$162.4B
$163.4B$164.4B$165.4B$166.4B$167.4B$168.4B$169.4B$170.4B$171.4B$172.
4B$173.4B$174.2B2A$175.BABA$176.AB!

Other less clean results (I didn't cheeck these for the 31-cell restriction) :

Code: Select all

x = 2105, y = 354, rule = LifeHistory
630.F$630.F$630.F569.F343.F$378.A6.F75.F66.F101.F482.F86.F343.F86.F
188.F92.F$306.F71.A.A4.F75.F66.F101.F79.F248.F82.F70.F86.F244.F98.F
86.F188.F92.F102.F$235.F70.F71.2A5.F68.A6.F66.F101.F79.F248.F82.F70.F
86.F244.F98.F86.F188.F92.F102.F$235.F70.F78.F68.A.A4.F66.F101.F79.F
174.F73.F82.F70.F86.F244.F98.F86.F84.F103.F92.F102.F$160.F74.F70.F78.
F68.2A5.F66.F101.F79.F174.F73.F82.F70.F86.F244.F98.F86.F84.F103.F92.F
102.F$60.F99.F74.F70.F78.F75.F66.F101.F79.F174.F73.F82.F70.F86.F244.F
98.F86.F84.F103.F92.F102.F$60.F62.A36.F74.F70.F78.F75.F66.F101.F79.F
174.F73.F82.F70.F86.F72.A171.F98.F86.F84.F103.F92.F102.F$60.F62.A.A
34.F74.F70.F78.F75.F66.F101.F79.F96.F77.F73.F82.F70.F86.F72.A.A169.F
98.F86.F84.F103.F92.F102.F83.A$60.F62.2A35.F74.F64.A5.F78.F75.F66.F
101.F79.F96.F77.F73.F82.F70.F86.F72.2A170.F92.A5.F86.F77.A6.F103.F92.
F102.F81.2A$60.F99.F74.F62.2A6.F78.F75.F66.F101.F79.F96.F77.F73.F82.F
70.F86.F244.F90.2A6.F86.F75.2A7.F103.F92.F76.A25.F82.2A$60.F99.F74.F
63.2A5.F78.F75.F66.F101.F79.F63.A32.F77.F73.F82.F70.F86.F244.F91.2A5.
F86.F76.2A6.F103.F92.F76.A.A23.F$46.A13.F99.F74.F70.F78.F75.F66.F101.
F79.F63.A.A30.F77.F73.F82.F70.F86.F244.F98.F86.F84.F103.F92.F76.2A24.
F$46.A.A11.F99.F44.A29.F70.F78.F75.F66.F101.F79.F63.2A31.F77.F73.F82.
F70.F86.F244.F98.F86.F84.F103.F92.F102.F$46.2A12.F99.F44.A.A27.F70.F
78.F75.F66.F101.F79.F96.F77.F73.F82.F70.F86.F244.F98.F86.F84.F103.F
92.F102.F$60.F99.F44.2A28.F70.F78.F75.F66.F101.F79.F96.F77.F73.F82.F
70.F86.F244.F98.F86.F84.F103.F92.F102.F$60.F99.F74.F70.F78.F75.F66.F
101.F79.F96.F77.F73.F82.F70.F86.F244.F98.F86.F84.F94.A8.F92.F102.F$
60.F99.F74.F70.F78.F75.F66.F79.A21.F79.F96.F77.F73.F82.F70.F86.F244.F
98.F86.F84.F92.2A9.F92.F102.F$60.F99.F74.F70.F78.F75.F53.A12.F77.2A
22.F79.F96.F77.F73.F82.F70.F86.F244.F98.F86.F84.F93.2A8.F92.F102.F$
60.F99.F74.F70.F78.F75.F51.2A13.F78.2A21.F79.F96.F77.F73.F82.F70.F86.
F244.F98.F86.F84.F103.F92.F102.F$60.F99.F74.F70.F78.F75.F52.2A12.F
101.F79.F96.F77.F73.F82.F70.F86.F244.F98.F86.F84.F103.F92.F102.F$60.F
99.F74.F70.F78.F75.F66.F101.F79.F96.F77.F73.F82.F70.F86.F244.F98.F68.
A17.F84.F103.F92.F102.F$60.F99.F74.F70.F78.F75.F66.F101.F79.F96.F77.F
73.F82.F70.F75.A10.F244.F98.F68.A.A15.F84.F103.F61.A30.F102.F$60.F99.
F74.F38.A31.F78.F75.F66.F101.F47.A31.F96.F77.F73.F82.F70.F73.2A11.F
244.F98.F68.2A16.F84.F103.F61.A.A28.F102.F$60.F99.F74.F37.A.A30.F78.F
75.F66.F101.F45.2A32.F96.F77.F73.F82.F47.A22.F74.2A10.F244.F98.F86.F
84.F103.F61.2A29.F102.F$60.F99.F74.F38.A31.F78.F75.F66.F101.F46.2A31.
F96.F77.F73.F82.F47.A.A20.F86.F244.F98.F86.F84.F103.F92.F102.F$60.F
99.F74.F70.F22.3A53.F75.F66.F101.F79.F96.F77.F69.A3.F82.F47.2A21.F86.
F244.F98.F86.F84.F103.F92.F102.F$60.F99.F74.F70.F78.F75.F66.F101.F79.
F96.F71.A5.F67.2A4.F82.F70.F86.F244.F98.F86.F84.F103.F92.F102.F$60.F
99.F74.F70.F78.F32.A42.F66.F101.F79.F96.F69.2A6.F68.2A3.F82.F70.F86.F
244.F98.F86.F84.F103.F92.F102.F$60.F99.F74.F70.F25.A4.2A46.F31.A.A41.
F66.F101.F79.F96.F70.2A5.F73.F65.A16.F70.F86.F244.F98.F86.F84.F103.F
92.F102.F$60.F99.F74.F70.F24.A.A3.2A46.F32.A42.F66.F101.F79.F96.F77.F
73.F63.2A17.F70.F86.F244.F98.F86.F84.F103.F92.F102.F$60.F99.F74.F31.
2A37.F24.A2.A50.F75.F66.F101.F79.F96.F77.F73.F64.2A16.F70.F86.F244.F
98.F86.F84.F103.F92.F102.F$60.F42.2A55.F74.F30.A2.A36.F25.2A51.F75.F
66.F101.F79.F96.F77.F73.F82.F70.F86.F28.3A213.F98.F86.F84.F103.F92.F
102.F$60.F43.A55.F74.F30.A.A3.2A32.F78.F75.F66.F101.F79.F96.F77.F73.F
82.F70.F86.F244.F98.F69.A16.F84.F103.F92.F102.F46.A$60.F40.3A56.F74.F
31.A4.2A32.F78.F75.F66.F101.F79.F96.F77.F73.F82.F70.F86.F244.F52.3A
43.F68.2A16.F32.A51.F103.F92.F102.F45.A.A$60.F40.A58.F74.F70.F78.F75.
F66.F101.F79.F96.F77.F73.F82.F70.F86.F31.A4.2A206.F98.F68.A.A15.F32.A
51.F103.F92.F37.A64.F45.A.A$60.F99.F74.F70.F78.F25.2A48.F66.F101.F79.
F33.A62.F77.F73.F82.F70.F86.F30.A.A3.2A206.F98.F86.F32.A51.F103.F92.F
37.A64.F46.A$3A57.F99.F74.F28.3A39.F78.F24.A2.A47.F66.F101.F79.F33.A
62.F77.F73.F82.F70.F86.F30.A2.A210.F98.F86.F37.2A45.F103.F92.F37.A64.
F$60.F99.F21.A52.F70.F32.A45.F24.A.A3.2A43.F66.F101.F79.F33.A62.F77.F
73.F82.F70.F86.F31.2A211.F98.F86.F36.A2.A44.F103.F92.F102.F41.2A7.2A$
60.F99.F21.3A50.F70.F31.A.A44.F25.A4.2A43.F66.F101.F79.F96.F77.F73.F
82.F70.F86.F244.F98.F86.F36.A.A45.F103.F92.F33.3A3.3A60.F40.A2.A5.A2.
A$60.F99.F24.A49.F70.F32.A45.F75.F66.F101.F79.F29.3A3.3A58.F77.F73.F
82.F70.F86.F244.F98.F86.F37.A46.F103.F92.F102.F41.2A7.2A$60.F99.F23.
2A49.F70.F78.F75.F66.F101.F79.F96.F77.F73.F82.F70.F86.F244.F98.F86.F
84.F70.A32.F92.F37.A64.F$60.F99.F74.F70.F78.F22.3A50.F66.F57.2A42.F
79.F96.F77.F73.F82.F70.F86.F244.F98.F86.F84.F70.A32.F92.F37.A64.F46.A
$60.F99.F74.F70.F78.F75.F41.2A23.F57.2A42.F79.F96.F77.F73.F82.F70.F
86.F244.F98.F86.F84.F70.A32.F92.F37.A64.F45.A.A$60.F99.F74.F70.F78.F
75.F41.2A23.F101.F79.F96.F77.F73.F82.F70.F86.F38.A205.F98.F86.F84.F
75.2A26.F92.F102.F45.A.A$60.F99.F74.F70.F78.F75.F66.F101.F79.F96.F77.
F73.F82.F70.F86.F37.A.A204.F98.F86.F84.F74.A2.A25.F92.F102.F46.A$60.F
99.F74.F70.F78.F75.F66.F37.2A17.2A43.F79.F96.F77.F73.F82.F70.F86.F38.
A205.F98.F62.A23.F84.F74.A.A26.F92.F102.F$60.F99.F74.F70.F78.F75.F21.
2A17.2A24.F37.2A17.2A43.F79.F29.3A3.3A58.F77.F73.F82.F70.F38.A47.F
244.F98.F61.A.A22.F84.F75.A27.F53.A38.F102.F$60.F99.F74.F70.F78.F75.F
21.2A17.2A24.F101.F33.A45.F96.F77.F73.F82.F70.F37.A.A46.F244.F98.F61.
A.A22.F84.F103.F52.A.A37.F102.F$60.F99.F74.F70.F78.F75.F55.3A8.F101.F
33.A45.F33.A62.F77.F73.F82.F28.2A40.F37.A.A46.F244.F98.F62.A23.F84.F
103.F52.A2.A36.F102.F$60.F99.F74.F70.F78.F75.F55.A10.F36.2A63.F33.A
45.F33.A62.F77.F73.F82.F27.A2.A39.F38.A47.F244.F98.F86.F84.F103.F53.
2A10.A26.F102.F$60.F99.F74.F70.F78.F75.F20.2A34.A9.F36.2A57.A5.F79.F
33.A62.F77.F22.2A49.F82.F28.2A40.F86.F244.F98.F86.F84.F103.F48.A15.2A
26.F102.F$60.F99.F74.F70.F78.F75.F20.2A44.F94.2A5.F29.3A3.3A41.F96.F
30.A46.F21.A2.A48.F82.F70.F86.F244.F98.F86.F84.F103.F48.A15.A.A25.F
102.F$60.F99.F74.F70.F78.F75.F66.F94.A.A4.F79.F96.F29.A.A45.F22.2A49.
F82.F70.F43.2A4.2A35.F244.F76.A21.F86.F84.F103.F48.A43.F102.F$60.F99.
F74.F70.F78.F75.F66.F101.F79.F96.F29.A.A45.F73.F17.2A63.F23.A46.F42.A
2.A3.A.A34.F244.F75.2A21.F86.F84.F103.F92.F102.F$60.F99.F74.F70.F78.F
75.F66.F101.F79.F96.F30.A46.F73.F16.A2.A62.F22.A.A45.F43.2A4.A36.F
244.F75.A.A20.F86.F84.F103.F92.F102.F$60.F99.F74.F70.F78.F75.F66.F
101.F79.F96.F77.F17.A55.F17.2A63.F22.A.A45.F86.F244.F98.F86.F84.F103.
F92.F102.F$60.F99.F74.F70.F78.F75.F66.F101.F79.F96.F25.2A7.2A41.F16.A
.A54.F82.F23.A46.F86.F244.F98.F86.F84.F103.F92.F102.F$60.F99.F74.F70.
F78.F75.F66.F101.F79.F96.F24.A2.A5.A2.A40.F16.A.A10.2A42.F82.F70.F86.
F244.F98.F86.F84.F85.A17.F92.F102.F$60.F99.F74.F70.F78.F75.F66.F101.F
29.3A3.3A41.F96.F25.2A7.2A41.F17.A11.A.A41.F12.A69.F70.F86.F244.F98.F
86.F84.F84.2A17.F92.F102.F$60.F99.F74.F58.2A10.F78.F61.2A12.F66.F101.
F79.F62.3A31.F77.F29.A43.F11.A.A68.F70.F86.F244.F98.F86.F84.F84.A.A
16.F92.F102.F$60.F99.F74.F57.2A11.F78.F61.A.A11.F66.F101.F33.A45.F62.
A33.F30.A46.F73.F11.A.A68.F70.F86.F244.F98.F86.F84.F103.F92.F102.F$
60.F99.F74.F59.A10.F78.F61.A13.F66.F101.F33.A13.A31.F63.A32.F29.A.A
45.F73.F12.A13.A55.F70.F86.F244.F98.F86.F84.F103.F92.F102.F$60.F99.F
74.F70.F78.F75.F66.F101.F33.A12.2A31.F96.F29.A.A45.F73.F25.2A55.F70.F
86.F244.F98.F86.F84.F103.F92.F102.F$60.F99.F74.F70.F78.F75.F66.F101.F
46.A.A30.F96.F30.A46.F73.F25.A.A54.F70.F86.F244.F98.F86.F60.3A21.F
103.F92.F102.F$60.F99.F74.F70.F78.F75.F66.F101.F79.F96.F77.F73.F82.F
70.F86.F244.F98.F86.F60.A23.F103.F92.F102.F85.2A$60.F99.F74.F70.F78.F
75.F66.F101.F79.F96.F77.F73.F82.F70.F86.F244.F98.F86.F61.A22.F103.F
92.F102.F85.A.A$50.2A8.F99.F74.F70.F78.F75.F66.F101.F79.F96.F77.F73.F
82.F70.F86.F244.F98.F86.F84.F103.F92.F102.F85.A$50.A.A7.F99.F74.F70.F
78.F75.F66.F101.F79.F96.F77.F73.F82.F70.F86.F244.F98.F86.F84.F103.F
92.F102.F$50.A9.F91.A7.F74.F70.F64.2A12.F75.F66.F101.F79.F96.F37.2A
38.F73.F82.F70.F86.F244.F98.F86.F84.F103.F92.F102.F$60.F90.2A7.F74.F
70.F63.2A13.F75.F66.F181.F96.F36.2A39.F73.F82.F70.F86.F244.F98.F86.F
84.F103.F92.F102.F$60.F90.A.A6.F74.F70.F65.A12.F75.F66.F181.F96.F38.A
38.F73.F82.F48.3A19.F86.F244.F98.F86.F84.F103.F92.F102.F$60.F99.F74.F
70.F78.F75.F66.F181.F96.F77.F73.F82.F48.A21.F331.F185.F84.F103.F92.F
102.F$60.F99.F74.F70.F403.F96.F77.F73.F82.F49.A352.F270.F299.F$60.F
99.F74.F571.F77.F394.2A434.F$60.F99.F646.F77.F394.A.A433.F$60.F99.F
646.F472.A$60.F746.F$807.F$807.F2$1995.A$1994.2A$1994.A.A$223.A$222.
2A$222.A.A44$383.F$383.F$383.F$383.F$383.F$62.F62.F87.F169.F$62.F62.F
87.F169.F90.F$62.F62.F87.F101.F67.F75.A14.F$62.F62.F87.F101.F67.F73.
2A15.F$62.F62.F87.F101.F67.F74.2A14.F$62.F62.F87.F101.F67.F90.F$62.F
62.F87.F101.F67.F90.F$62.F62.F87.F101.F67.F90.F$62.F62.F87.F80.A20.F
67.F90.F66.A$62.F62.F87.F80.A.A18.F46.A20.F90.F64.2A$62.F62.F69.A17.F
80.2A19.F44.2A21.F90.F65.2A$62.F62.F69.A.A15.F101.F45.2A20.F90.F$62.F
49.A12.F69.2A16.F101.F67.F90.F$62.F49.A.A10.F87.F101.F67.F90.F$44.A
17.F49.2A11.F87.F101.F67.F90.F$44.A.A15.F62.F87.F101.F67.F90.F$44.2A
16.F62.F87.F101.F67.F90.F$62.F62.F87.F101.F67.F90.F$62.F62.F87.F101.F
67.F90.F$62.F62.F87.F101.F67.F90.F$62.F62.F87.F101.F67.F90.F967.F$62.
F62.F87.F101.F67.F90.F967.F62.A$62.F62.F87.F101.F67.F90.F967.F62.A.A$
62.F62.F87.F101.F67.F90.F967.F62.2A$62.F62.F87.F101.F67.F90.F967.F$
62.F62.F87.F101.F67.F90.F967.F$62.F62.F87.F101.F67.F90.F967.F$62.F62.
F87.F101.F67.F42.3A45.F967.F$62.F62.F87.F101.F67.F90.F967.F$62.F62.F
87.F101.F67.F90.F967.F$62.F62.F87.F101.F67.F45.A4.2A38.F967.F$62.F62.
F87.F101.F67.F44.A.A3.2A38.F967.F$62.F62.F87.F101.F67.F44.A2.A42.F
967.F$62.F62.F87.F56.3A42.F67.F45.2A43.F38.2A927.F$62.F62.F87.F101.F
29.3A35.F90.F37.A2.A926.F$62.F62.F47.2A38.F101.F67.F90.F38.2A927.F$
62.F62.F47.2A38.F101.F67.F90.F967.F$62.F22.2A38.F87.F101.F67.F90.F
967.F$62.F22.2A2.2A34.F87.F101.F67.F90.F33.A933.F$23.3A36.F26.2A34.F
87.F101.F67.F52.A37.F32.A.A932.F$62.F62.F87.F101.F67.F51.A.A36.F32.A.
A932.F$62.F62.F87.F101.F67.F52.A37.F33.A933.F$62.F62.F87.F101.F67.F
90.F967.F$62.F62.F87.F101.F67.F90.F967.F$62.F62.F87.F101.F67.F90.F
967.F$62.F62.F87.F101.F67.F90.F967.F$62.F62.F87.F101.F67.F90.F967.F
27.A$62.F62.F87.F101.F67.F90.F967.F27.A$62.F62.F87.F101.F67.F90.F967.
F27.A$62.F62.F87.F101.F67.F90.F967.F32.2A$62.F62.F87.F101.F46.2A19.F
90.F967.F31.A2.A$62.F62.F87.F101.F46.A.A18.F90.F967.F31.A.A$62.F62.F
87.F101.F46.A20.F90.F967.F32.A$62.F62.F87.F101.F67.F90.F967.F$62.F62.
F87.F101.F67.F90.F967.F$62.F62.F87.F101.F67.F90.F967.F$62.F62.F87.F
101.F67.F90.F967.F$62.F62.F66.2A19.F101.F67.F90.F967.F$62.F62.F66.A.A
18.F101.F67.F90.F967.F$39.3A20.F62.F66.A20.F101.F67.F90.F967.F$39.A
22.F62.F87.F101.F67.F90.F967.F$40.A21.F46.2A14.F87.F101.F67.F90.F65.A
901.F$62.F46.A.A13.F87.F101.F67.F90.F64.2A901.F$62.F46.A15.F87.F79.2A
20.F67.F90.F64.A.A900.F$62.F62.F87.F78.2A21.F67.F90.F967.F$62.F62.F
87.F80.A20.F67.F90.F967.F$62.F62.F87.F101.F67.F90.F967.F$62.F62.F87.F
101.F158.F967.F$62.F62.F87.F101.F158.F967.F$62.F62.F87.F101.F158.F
967.F$62.F62.F87.F101.F158.F967.F$62.F62.F87.F101.F158.F967.F$315.F
158.F967.F$315.F1126.F$1442.F$1442.F$465.A976.F$464.2A976.F$464.A.A
975.F$1442.F$1442.F$1442.F$1442.F$1442.F$1442.F$1442.F$1442.F59.2A$
1442.F59.A.A$1442.F59.A$1442.F$1442.F$1442.F44$86.F$86.F$86.F$86.F
100.F97.F$86.F100.F97.F$86.F100.F97.F$86.F100.F97.F$86.F100.F97.F$86.
F100.F56.A40.F$86.F66.A33.F54.2A41.F$86.F64.2A34.F55.2A40.F1154.F$86.
F65.2A33.F97.F1154.F$38.A47.F100.F97.F1154.F$38.A.A45.F100.F97.F1154.
F$38.2A46.F100.F97.F1154.F$86.F100.F97.F1154.F$86.F100.F97.F42.A1111.
F$86.F100.F97.F40.2A1112.F$86.F100.F97.F41.2A1111.F$86.F100.F97.F
1154.F$86.F100.F97.F1154.F$86.F100.F97.F1154.F$86.F100.F97.F1154.F88.
A$86.F100.F97.F1154.F88.A.A$86.F100.F97.F1154.F88.2A$86.F100.F97.F
1154.F$86.F100.F97.F1154.F$86.F100.F97.F1154.F$86.F100.F97.F1154.F$
86.F100.F97.F1154.F$86.F100.F97.F1154.F$86.F100.F97.F1154.F$86.F100.F
97.F1154.F$86.F100.F36.A60.F1154.F$86.F49.A50.F35.A.A59.F1154.F$86.F
48.A.A49.F35.A.A59.F1154.F$86.F49.A50.F36.A60.F1154.F$2.2A82.F100.F
97.F1154.F$2.2A2.2A78.F100.F31.2A7.2A55.F1154.F$6.2A78.F100.F30.A2.A
5.A2.A54.F1154.F$86.F100.F31.2A7.2A55.F1154.F$86.F100.F97.F21.3A1130.
F$86.F42.2A56.F36.A60.F1154.F$86.F41.A2.A55.F35.A.A59.F1154.F$86.F41.
A.A3.2A51.F35.A.A59.F24.A4.2A1123.F$86.F42.A4.2A51.F36.A60.F23.A.A3.
2A1123.F$86.F100.F97.F23.A2.A1127.F$86.F100.F97.F24.2A1128.F31.3A$86.
F39.3A58.F97.F1154.F$86.F100.F97.F1154.F$86.F100.F97.F40.2A1112.F34.A
4.2A$86.F100.F97.F40.A.A1111.F33.A.A3.2A$86.F100.F97.F40.A1113.F33.A
2.A$86.F100.F97.F31.A1122.F34.2A$86.F100.F97.F30.A.A1121.F$86.F100.F
97.F31.A1122.F$86.F100.F97.F1154.F$86.F100.F97.F1154.F$86.F59.A40.F
97.F1154.F$86.F58.2A40.F97.F1154.F41.A$86.F58.A.A39.F97.F1154.F40.A.A
$86.F100.F97.F1154.F41.A11.3A$42.A43.F100.F97.F1154.F53.A$41.2A43.F
100.F60.2A35.F1154.F54.A$41.A.A42.F100.F59.2A36.F1154.F$86.F100.F61.A
35.F1154.F$86.F100.F97.F1154.F$86.F100.F97.F1154.F$86.F100.F97.F1154.
F$86.F100.F97.F1154.F$86.F100.F97.F1154.F$86.F100.F97.F1154.F$187.F
97.F1154.F$187.F97.F1154.F$187.F97.F1154.F$1440.F$1440.F$1440.F$1440.
F$1440.F$1440.F$1440.F!

Clean glider outputs would also be potentially really useful, as I mentioned above. Could end up with a whole collection of alternate forerakes and backrakes, instead of just the standard rake/rephaser one. If there are enough of them shooting gliders on different lanes, it can really cut down the amount of rephasing that has to be done at various points.

There's a weird and wonderful option that _could_ be checked for, where the *WSS-producing active reaction actually modifies the ash in the next higher slice, in the right way to produce the correct target for the next *WSS production. It sounds self-referential, but this is the kind of interesting thing that will just naturally drop out of search results on rare occasions if you give it a chance.

I will try to run other searches to look for these. For the secong kind, there is already a collision where the output ash is a honeyfarm, which can in turn be used to produce another LWSS (at the cost of some adjustability).

Does the search code so far generate these glider-pair collisions in any particular order? The ideal enumeration would start with glider pairs generated by two successive rephaser/rakes, and work up from there until it starts finding minimum-length rephaser/rake chains that generate sideways *WSSes.

The enumeration of collisions is very simple in my script : one glider moves on one axis with at most two allowed phases, and the other moves in a rectangle, with all phases allowed. Here I picked 50 cells for the base dimension and ran every collisions for 500 ticks before trying to detect an XWSS.
The results were then reported only if the population did not exceed 50.
A more complex search order would be interesting only if the number of results were so large that they couldn't be processed by hand, so perhaps for a search for clean gliders. Even then, I think that I will make it a post-processing stage, since the search space remains quite manageable.
What is the most up-to-date version of the rakes and rephasers collection, and what do the R[X]L[Y] labels correspond to ?

[Gustone]

Aand of course it cannot actually reach any timing for making the front block trails.

[dvgrn]

Main search is complete, around 20 millions of collisions analysed (with some overlapping). The best result is this clean LWSS...

To clarify: this is a search starting with ash from a 90-degree glider-pair collision, and hitting it with exactly one additional glider-pair collision, right? Not looking at recipes with six or more gliders?

The enumeration of collisions is very simple in my script : one glider moves on one axis with at most two allowed phases, and the other moves in a rectangle, with all phases allowed. Here I picked 50 cells for the base dimension and ran every collisions for 500 ticks before trying to detect an XWSS.
The results were then reported only if the population did not exceed 50.

Does "50 cells for the base dimension" refer to the size of the rectangle -- is it 50x50? For the second glider pair, if one glider has limited adjustability, how is its lane chosen relative to the ash from the first glider-pair collision?

A more complex search order would be interesting only if the number of results were so large that they couldn't be processed by hand, so perhaps for a search for clean gliders. Even then, I think that I will make it a post-processing stage, since the search space remains quite manageable.
What is the most up-to-date version of the rakes and rephasers collection, and what do the R[X]L[Y] labels correspond to ?

The Caterpillar and the Silverfish each have sizable rake collections. The Silverfish's rakes are collected here among other places -- see p. 319 of the Life textbook. I don't recall that anyone has built any additional rakes since the book came out. In R[X]L[Y], the X is the cost -- the total number of rephasers in the stack making up the rake -- and Y is the glider's output lane, a number between 0 and 30.

However, the Silverfish has 116-60-56-60-116 block-trail spacing, whereas Gustone's new front end is 88-162-54-162-88. Sometimes you can rebuild rakes so they work at a different block-trail spacing, but sometimes you can't -- each one is potentially a separate problem.

So -- hopefully Gustone can correct me if I'm wrong, but from what I understand, for the new spacing so far there's only one each of rephaser, forerake, and backrake. To get different output lanes you have to do a lot of rephasing. Here's the R2 rephaser Gustone posted, with a little bit more running room so you can see what it's doing:

Code: Select all

x = 739, y = 680, rule = B3/S23
182b2o376b2o14$94b2o248b2o52b2o248b2o$94b2o248b2o52b2o248b2o15$182b2o
376b2o$182b2o376b2o14$94b2o248b2o52b2o248b2o$94b2o248b2o52b2o248b2o15$
182b2o376b2o$182b2o376b2o14$94b2o248b2o52b2o248b2o$94b2o248b2o52b2o248b
2o15$182b2o376b2o$182b2o376b2o14$94b2o248b2o52b2o248b2o$94b2o248b2o52b
2o248b2o15$182b2o376b2o$182b2o376b2o14$94b2o248b2o52b2o248b2o$94b2o248b
2o52b2o248b2o15$182b2o376b2o$182b2o376b2o14$94b2o248b2o52b2o248b2o$94b
2o248b2o52b2o248b2o15$182b2o376b2o$182b2o376b2o14$94b2o248b2o52b2o248b
2o$94b2o248b2o52b2o248b2o15$182b2o376b2o$182b2o376b2o14$94b2o248b2o52b
2o248b2o$94b2o248b2o52b2o248b2o15$182b2o376b2o$182b2o376b2o2$651b3o$650b
o2bo$650bo2bo$651b4o$86b3o564b2o$87bo567bo$87b3o564bo$654bo5$344b2o52b
2o$344b2o52b2o2$96b2o$86b2o8b2o558b2o$86b2o568b2o5$98bo$97bobo$96bo3b
o$96bo3bo$96bo$97b3o$182b2o376b2o$182b2o376b2o5$94b2o552b2o$94b2o552b
2o8$344b2o52b2o$344b2o52b2o3$86b2o568b2o$86b2o568b2o11$182b2o$182b2o377b
obo$558b2o2bo4bo$558bobo6b2o$183b2o372b2obo2bo4b2o$182bo2bo2bo368b2o9b
2o$94b2o53bo32bob4ob2o368b2obob5o79b2o$94b2o51bobo27b3o3bo2b2o2bo373b
o2bo80b2o$148b2o26bo2bo9b2o373bo2bo$165bo9b2obo397bo$165bo3b3obo18b2o
357b2o22bo2bo$165bo7bob4o13b2o382b3o10bo$174b2o3bo10bo2bo361bo20b3o10b
obo$175bo2bo10bo2bo353bo42b2o$175bo2bo9bo4bo352bo4bo3b2o$175b3o9b2o3b
o151b2o52b2o147bobo5bobo$188b2o154b2o52b2o149bobo4b2o$189bo11bo348b2o
4b2o$199bobo349bo2b3o$86b2o112b2o352b3o99b2o$86b2o568b2o2$182b2o353bo
22b2o$182b2o353bobo20b2o$537b2o7$33bobo$33b2o$34bo2$174b2o392b2o$174b
2o392b2o143bobo$94b2o552b2o64b2o$94b2o552b2o64bo4$157bobo$157b2o$158b
o2$344b2o52b2o$344b2o52b2o189bobo$590b2o$590bo$86b2o568b2o$86b2o568b2o
2$179b3o$177b4o2b2o374bobo$176bobob5o372b2obob2o$177b2o6bo370bo3bo$175b
6o2b3o370bo3bo$175b2obobob2obo370bo2bo6bo$175bo2bo378bo2bo5b2o$176b4o
2b2o375b3o3bo2bo$557bo4bo3b2o$166b2o389b2o3bo3bo$164bo2bo390bob2o$165b
3o23b2o$172b2o15b2o2b2obo$187b2o5bo2bo$191b2o4bo358b2o$94b2o86bo4bo4b
ob3o359b2o90b2o$94b2o90bo4b2obo453b2o$182bo2bo2bo2b2o$188bo$186bobo$187b
o$205bo$182b2o22bo353b2o$182b2o20b3o353b2o$344b2o52b2o$344b2o52b2o$533b
o$532bo$86b2o444b3o121b2o$86b2o568b2o6$174b2o392b2o$174b2o392b2o10$94b
2o58bo493b2o$94b2o56b2o494b2o$153b2o3$594bo$595b2o$182b2o376b2o32b2o$
182b2o376b2o$261bo82b2o52b2o$259bobo82b2o52b2o$260b2o2$86b2o568b2o$86b
2o389bo178b2o$477bobo$477b2o4$174b2o392b2o$bo172b2o392b2o$2bo706b3o$3o
708bo$710bo2$737bo$37b3o696bo$37bo698b3o$38bo2$94b2o552b2o$94b2o552b2o
2$97bobo$97b2o$98bo2$182b2o376b2o$182b2o376b2o87bobo$344b2o52b2o250b2o
$344b2o52b2o250bo3$86b2o568b2o$86b2o568b2o6$174b2o392b2o79b3o$174b2o392b
2o81bo$650bo3$97b3o$97bo$98bo3$648b2o$646bo$93bob2o547bo3bo$87b2o4bo2b
o547bobo2bo$88bo4bo554b2o$89b3obo171bo377b2o$89bo2b2ob3o168bo134bo241b
o7bo2bo$89bo3bob3o166b3o130bo4b2o253bo$91b2o89b2o213bo3b3o156b2o86bo8b
o$182b2o218b2o156b2o82bobobo8bo$402bo70bo173b4o3bo$344bobo49b2o3b2o69b
o171bo3bo$76b5o260b2obo2bo48bo4b2o69b3o170bobo$77b3o261b2obo2bo47bo4b
2o$78bo20b2o239bob2o51bo5bo$98bo2bo6bo231b4o5bo45b2o2bobo242b2o$98bob
2o4b2o242b2o47bob2o241b2o$99bo3b5o235b2o6bo37b3o7bob2o$103bo2bo233bo3b
2obob3o$100bob4o235b5o243b3o$101bo242bo246bo$100bo73b2o392b2o20bo$174b
2o392b2o$94b2o22bo529b2o$94b2o23bo37b3o180b2o60b2o244b2o$117b3o37bo182b
2o60b2o$158bo2$620bo$619bo$94bo524b3o$92b2o$93b2o249b2o52b2o$344b2o52b
2o3$86b2o$86b2o2$182b2o376b2o$182b2o376b2o5$352b2o36b2o$352b2o36b2o2$
65bo463b3o$63b2o466bo$64b2o464bo$61bo$62bo111b2o392b2o$60b3o111b2o41b
3o348b2o$94b2o121bo430b2o$94b2o122bo429b2o6$379bo$377bobo$344b2o32b2o
18b2o$344b2o52b2o2$359bo$359bobo$359b2o2$182b2o376b2o$182b2o376b2o5$352b
2o36b2o$352b2o36b2o77b3o$471bo$470bo3$277b3o$174b2o101bo290b2o$174b2o
102bo289b2o$94b2o552b2o$94b2o552b2o8$344b2o52b2o$344b2o52b2o$325bo$326b
o$324b3o3$182b2o212bo16bo146b2o$182b2o159b3o49b2o15bo147b2o$341bo3b2o
47bobo3b2o3b2o5b3o$343bobo39b2o7b2o3bo3b2o2bo$339b4o2b2o5bo4b2o25bo2b
2o7b3o4b2ob2o$338b2o5b2o2bob3o3bobo23bo5bo13b2o5bobo$174bo164bobo3b2o
2b2o4bo3bo22bo2b2o2bo6b2o7bobo3b2o$173b3o164b2o7b5o4b2o21b2ob2ob3o5b2o
10bo3bo$172bo3bo173bo2bo27bo2bo10b2o$177bo177bo25bob2o11bo$170bo3b2ob
2o203b2o11bo$174b2o$170b2o6bo$176b2o2$94b2o248b2o52b2o248b2o$94b2o248b
2o52b2o248b2o8$359bo$360bo$358b3o2$352b2o36b2o$352b2o25bo10b2o$378bo$
182b2o194b3o179b2o$182b2o376b2o14$94b2o248b2o52b2o248b2o$94b2o248b2o52b
2o248b2o12$352b2o36b2o$352b2o36b2o2$182b2o376b2o$182b2o376b2o14$94b2o
248b2o52b2o248b2o$94b2o248b2o52b2o248b2o15$182b2o376b2o$182b2o376b2o14$
94b2o248b2o52b2o248b2o$94b2o248b2o52b2o248b2o!

This is a compressed and slightly tricky combination (using precise timing and a kickback) of an R1 backrake

Code: Select all

x = 777, y = 660, rule = B3/S23
108b2o248b2o52b2o248b2o$108b2o248b2o52b2o248b2o15$196b2o376b2o$196b2o
376b2o14$108b2o248b2o52b2o248b2o$108b2o248b2o52b2o248b2o15$196b2o376b
2o$196b2o376b2o14$108b2o248b2o52b2o248b2o$108b2o248b2o52b2o248b2o15$
196b2o376b2o$196b2o376b2o14$108b2o248b2o52b2o248b2o$108b2o248b2o52b2o
248b2o15$196b2o376b2o$196b2o376b2o14$108b2o248b2o52b2o248b2o$108b2o
248b2o52b2o248b2o15$196b2o376b2o$196b2o376b2o14$108b2o248b2o52b2o248b
2o$108b2o248b2o52b2o248b2o15$196b2o376b2o$196b2o376b2o14$108b2o248b2o
52b2o248b2o$108b2o248b2o52b2o248b2o15$196b2o376b2o$196b2o376b2o14$108b
2o248b2o52b2o248b2o$108b2o248b2o52b2o248b2o15$196b2o376b2o$196b2o376b
2o14$108b2o248b2o52b2o248b2o$108b2o248b2o52b2o248b2o15$196b2o376b2o$
196b2o376b2o14$108b2o248b2o52b2o248b2o$108b2o248b2o52b2o248b2o15$196b
2o376b2o$196b2o376b2o14$108b2o248b2o52b2o248b2o$108b2o248b2o52b2o248b
2o15$196b2o376b2o$196b2o376b2o14$358b2o52b2o253b3o$358b2o52b2o$103bo$
102b2obo4b2o548b2o8bo$100b6o4b2o548b2o3bo2b2ob2o$99bo2bo561bo5bo$99bob
o562b3o$104bo$98bobob3o$98bo5bo$100b3o$100b3o3$112b2o544b2o$112b2o544b
2o$196b2o376b2o$196b2o376b2o5$108b2o552b2o$108b2o552b2o8$358b2o52b2o$
358b2o52b2o3$100b2o568b2o$100b2o568b2o4$148bobo$149b2o$149bo3$616bobo$
616b2o$196b2o376b2o41bo$196b2o376b2o5$108b2o552b2o$108b2o464b2o86b2o$
574bo$194bo$191b5o370bo2bo5bo$189bo3bob2o369bo2bo6bo$188bo4bo2b2o367bo
5bo4b2o13bo$188bo3bo2b2o369b2obobo5bo3b2o6b2ob2o$188b3o375bo4bobob2obo
2b2o6bo2bo$358b2o52b2o153b8obobo11b2o$358b2o52b2o155b9o$61bo132b2o374b
o$60bo133b2o$60b3o37b2o93bo474b2o$100b2o568b2o2$196b2o376b2o139bo$196b
2o376b2o140bo$714b3o4$185bo$184bo$184b3o3$591bo$592bo$188b2o392b2o6b3o
$188b2o392b2o$108b2o552b2o$108b2o552b2o8$358b2o52b2o$358b2o52b2o3$100b
2o568b2o$100b2o568b2o2$196b2o376b2o$196b2o376b2o14$108b2o552b2o$108b2o
552b2o8$358b2o52b2o$358b2o52b2o3$100b2o568b2o$100b2o568b2o2$196b2o376b
2o$196b2o376b2o10$260bobo$261b2o$261bo2$108b2o552b2o$108b2o394bobo155b
2o$504b2o$505bo6$bo356b2o52b2o$o357b2o52b2o$3o2$100b2o568b2o$100b2o
568b2o103bo$776bo$196b2o376b2o198b3o$196b2o376b2o3$125bo$124bo$124b3o
3$651bo$652bo$650b3o4$108b2o552b2o$108b2o552b2o8$358b2o52b2o$358b2o52b
2o3$100b2o568b2o$100b2o568b2o2$196b2o376b2o$196b2o376b2o14$108b2o552b
2o$108b2o552b2o8$358b2o52b2o$358b2o52b2o3$413bo$407b2o3bob5o$360bobo
43bo2b4o2b4ob2o$196b2o164bo42bobob2o2b3o158b2o$196b2o152bobo4b3o2bo38b
2ob2o168b2o$350bobo4bo37bo4b4o3b3o$350bo2bo4b4o12bo20bo4bo8bo11b3o$
351b3o6bobo4b2o5bo20bo5bobob2o13b2o3bo$351bo9b3o2bobo5bo27bobo2b4o7b2o
3bobo$344bo6b3o6b3o2b2obo40b2o6bobo5bo$344bobo13bo5b5ob3o31b3o7bo4b3o$
344b2o21bo2bob3o28b2o2b2o6bo6bo$320bobo45b3o2b2o30bobo8bo$321b2o49b2o
2bo28b3o9b4o$321bo50b2ob2o55bo$374b2o54bobo$431b2o$444bobo$108b2o248b
2o52b2o30b2o216b2o$108b2o248b2o52b2o31bo216b2o12$366b2o36b2o$366b2o36b
2o2$196b2o180bobo193b2o$196b2o181b2o193b2o$379bo3$386bobo$386b2o$387bo
8$108b2o248b2o52b2o248b2o$108b2o248b2o52b2o248b2o12$366b2o36b2o$366b2o
36b2o2$196b2o376b2o$196b2o376b2o14$108b2o248b2o52b2o248b2o$108b2o248b
2o52b2o248b2o15$196b2o376b2o$196b2o376b2o!

and an R1 fore-and-back rake:

Code: Select all

x = 793, y = 706, rule = B3/S23
116b2o248b2o52b2o248b2o$116b2o248b2o52b2o248b2o15$204b2o376b2o$204b2o
376b2o14$116b2o248b2o52b2o248b2o$116b2o248b2o52b2o248b2o15$204b2o376b
2o$204b2o376b2o14$116b2o248b2o52b2o248b2o$116b2o248b2o52b2o248b2o15$
204b2o376b2o$204b2o376b2o14$116b2o248b2o52b2o248b2o$116b2o248b2o52b2o
248b2o15$204b2o376b2o$204b2o376b2o14$116b2o248b2o52b2o248b2o$116b2o
248b2o52b2o248b2o15$204b2o376b2o$204b2o376b2o14$116b2o248b2o52b2o248b
2o$116b2o248b2o52b2o248b2o15$204b2o376b2o$204b2o376b2o14$116b2o248b2o
52b2o248b2o$116b2o248b2o52b2o248b2o15$204b2o376b2o$204b2o376b2o14$116b
2o248b2o52b2o248b2o$116b2o248b2o52b2o248b2o15$204b2o376b2o$204b2o376b
2o14$116b2o248b2o52b2o248b2o$116b2o248b2o52b2o248b2o15$204b2o376b2o$
204b2o376b2o14$116b2o248b2o52b2o248b2o$116b2o248b2o52b2o248b2o15$204b
2o376b2o$204b2o376b2o14$116b2o248b2o52b2o248b2o$116b2o248b2o52b2o248b
2o15$204b2o376b2o$204b2o376b2o14$116b2o248b2o52b2o248b2o$116b2o248b2o
52b2o248b2o15$204b2o376b2o$204b2o376b2o14$116b2o248b2o52b2o248b2o$116b
2o248b2o52b2o248b2o15$204b2o376b2o$204b2o376b2o14$116b2o248b2o52b2o
248b2o$116b2o248b2o52b2o248b2o14$583bo$584bo$201b5o$199bo5b2o376b2o$
198b2o3bob2o372b3ob2o$203bob2o372bo4bo$198bobobo3bo371b2o6b2o$197b2ob
2obobo373bob3ob2obo$191bo5b2o5bo373bo5bo3bo$187b2o10bo378bo2bobo4bo$
186bo6bo385bo7bo$186bob2o4b2o385b3obo$187bo4bob2o16b2o$193b2o18bo$211b
2obo3b2o$209b2o3bobobo359b2o$116b2o87bo2bo5bobo149b2o52b2o156b2o90b2o$
116b2o86bo3b2ob3obo150b2o52b2o248b2o$205bobo3bo$206b4o$207b3o2$225bobo
$204b2o20b2o354b2o$204b2o20bo355b2o3$555bobo$555b2o$556bo7$196b2o392b
2o$196b2o392b2o3$791bo$791b2o$790bobo3$bo$2o174bo$obo113b2o57bo190b2o
52b2o248b2o$116b2o57b3o188b2o52b2o248b2o3$616bo$617bo$615b3o$204b2o
376b2o$204b2o376b2o12$196b2o392b2o$196b2o392b2o$731bo$731b2o$730bobo3$
61bo$60b2o$60bobo2$116b2o248b2o52b2o248b2o$116b2o248b2o52b2o248b2o6$
204b2o376b2o$204b2o376b2o12$196b2o392b2o79bo$196b2o392b2o79b2o$670bobo
3$121bo$120b2o$120bobo3$114bo$115bo250b2o52b2o$111bo6bo247b2o52b2o246b
5o$110bo3b3o2bo547b2obobo$109bo9bo546bo3bo$109bo4b4ob2o164bobo377b3ob
2o$108bo5b4obo166b2o378b2ob2o5b2o$109bo5bo2bo167bo381bo2bo3b3o$110b4o
90b2o376b2o84b4o3bo2bo$111b2o91b2o376b2o83bob2obo2b3o$100b2o393bobo
169b3o2bo3b2o$102bo392b2o170b3obo$99b3o22b4o368bo$100bo21b8o$122b5ob4o
$121b2o2b2obo2bo534b2o$128b3o535b2o$120b2o6bo$121bo3b3o$122b2o487bo$
122bo488b2o$121bo74b2o392b2o18bobo$196b2o392b2o$116b2o20bobo529b2o$
116b2o21b2o40bo488b2o$139bo40b2o$180bobo2$642bobo$116bo525b2o$115bo
527bo$115b3o$366b2o52b2o$366b2o52b2o3$108b2o567bo$108b2o2$204b2o376b2o
$204b2o376b2o7$87bo$86bo464bo$86b3o462b2o$550bobo2$196b2o392b2o113bo$
196b2o43bo348b2o114bo$116b2o122b2o428b2o32b3o$116b2o122bobo427b2o8$
366b2o52b2o$366b2o52b2o6$204b2o376b2o$204b2o376b2o6$491bo$491b2o$490bo
bo3$301bo$196b2o102b2o288b2o$196b2o102bobo287b2o$116b2o552b2o$116b2o
552b2o8$366b2o52b2o$366b2o52b2o$345bobo$346b2o$346bo3$204b2o229bobo
144b2o$204b2o212b3o14b2o145b2o$365b3o49bo3b2o4b2o7bo$363b2ob2o8bo39bo
5bo3bobo$362bo6bo5b4o28b2o7bo4bo4b3o2bobo$362bo5b2o2bob4obo27bobo9bo7b
o5bo$362b2o7bo7b2o26bob2o8bo9bo3bo$369bobo3bob3o24b6o8bo10bo2bo$195b3o
166bo4bo2bobo2b2o24bo4bo21bo$194bo2bo168b2o35bo2bo9b2o$193bo5bo204b2o
11bo$192bo4bobo$192bobo2b3o$193bo2$116b2o248b2o52b2o248b2o$116b2o248b
2o52b2o248b2o8$379bobo$380b2o$380bo2$374b2o36b2o$374b2o25bobo8b2o$401b
2o$204b2o196bo179b2o$204b2o376b2o5$27bo$26bo$26b3o3$765bo$766bo$764b3o
2$116b2o248b2o52b2o248b2o$116b2o248b2o52b2o248b2o12$374b2o36b2o$374b2o
36b2o2$204b2o376b2o$204b2o376b2o14$116b2o248b2o52b2o248b2o$116b2o248b
2o52b2o248b2o!

[Gustone]

Silverfish has 116-60-56-60-116 block-trail spacing, whereas Gustone's new front end is 88-162-54-162-88

I don't understand why there is only one number per spacing in this notation, vertical offset matters too.

[dvgrn]

Silverfish has 116-60-56-60-116 block-trail spacing, whereas Gustone's new front end is 88-162-54-162-88

I don't understand why there is only one number per spacing in this notation, vertical offset matters too.

Definitely it's not a complete notation for describing all the possible ways of arranging block trails. It's just a convenient shorthand.

It's easy to measure the block-trail spacing and see what those numbers are, and if the numbers you get are 88-162-54-162-88, then you're not going to be able to use any technology that's built for 116-60-56-60-116 Silverfish block trails or the old 116-110-90-110-116 Centipede block trails, without doing some significant rebuilding.

Do I have the idea right in what I posted above? To get two gliders to collide at some distance and produce things like the blinkers you were building in the previous MWSS/LWSS siderake designs, the basic idea would be to adjust the timing of one part of the 2R rephaser above, so that you get whatever collision you want instead of the kickback at the edges. You can get either two 90-degree gliders of the same color, or of opposite colors, depending on how many blocks are left between the backrake and the forerake-backrake -- but the ash in the two cases will end up at different distances from the main block trails.

Then, in either case, there will be an extra backward output from the forerake-backrake that isn't cleaned up by the kickback reaction. So then it becomes necessary to add a third R traveling behind, another forerake-backrake -- to do the kickback trick and clean up both its own backward stream and the one left over from the first two Rs.

[dvgrn]

A more complex search order would be interesting only if the number of results were so large that they couldn't be processed by hand, so perhaps for a search for clean gliders.

Does the above maybe make it a little clearer why I was suggesting doing an enumeration based on the input gliders that can actually be produced most cheaply by the rephaser/rake system?

I haven't tried building any of the sideways *WSS recipes that your search has found. It's possible that one of them can be done really cheaply, but it's so unlikely that the glider lanes will happen to line up that I haven't bothered to look. The worst case is that 31 rephasers will be needed between two "glider-collision puffers" running on these tracks, so the average is going to be about 15 rephasers. And then I think there's the separate problem that different-color glider pairs will want to collide at a different column from same-color glider pairs.

... It seems like the fact that the above rephaser has a cost of 2R -- two Herschel climbers on each block trail -- makes things a little more complicated compared to the Centipede and Silverfish which had 1R rephasers and rakes. But I think for the rephaser case it should be possible to chain the rephasers to get a clean series with 2R, 3R, 4R and on up. So it's only the 1R rephaser that's missing, and in some cases it will work to use a 1R backrake and clean up the unwanted escaping gliders with some junk constructed earlier, or with forward streams generated by a 3R forerake assembly, wherever it happens to be convenient to put that.

Long story shorter
It's certainly possible to get sideways *WSSes out starting with just two pairs of gliders colliding near each other. But it's probably very expensive to arrange any particular two-glider-pair collision.

Starting the enumeration with the cheapest arrangements of puffers/rephasers/rakes in a breadth-first search will very likely start producing sideways *WSSes, at a cost significantly lower than the cost of any of the sideways *WSS recipes found by the current search.

I don't know for sure that there isn't a cheap recipe hiding in current search results, because I haven't tried building any of those recipes -- but it seems likely that they're all going to end up quite expensive.

A Simpler Sampler
EDIT: Here's a sample pattern that's slightly easier to play around with than the full *WSS rakes posted so far. This is a blinker puffer following immediately after another blinker puffer. The final backrake output is allowed to escape. It can be cleaned up with another forerake -- but this is one of the places where things get complicated. Depending on what ash the puffer is building, any of the standard two-glider vanish reactions might actually run into something and make a change to the ash ... which could be a good thing or a bad thing, I suppose.

Code: Select all

x = 883, y = 1887, rule = B3/S23
249b2o376b2o14$161b2o248b2o52b2o248b2o$161b2o248b2o52b2o248b2o15$249b
2o376b2o$249b2o376b2o14$161b2o248b2o52b2o248b2o$161b2o248b2o52b2o248b
2o15$249b2o376b2o$249b2o376b2o14$161b2o248b2o52b2o248b2o$161b2o248b2o
52b2o248b2o15$249b2o376b2o$249b2o376b2o14$161b2o248b2o52b2o248b2o$161b
2o248b2o52b2o248b2o15$249b2o376b2o$249b2o376b2o14$161b2o248b2o52b2o
248b2o$161b2o248b2o52b2o248b2o15$249b2o376b2o$249b2o376b2o14$161b2o
248b2o52b2o248b2o$161b2o248b2o52b2o248b2o15$249b2o376b2o$249b2o376b2o
14$161b2o248b2o52b2o248b2o$161b2o248b2o52b2o248b2o15$249b2o376b2o$249b
2o376b2o14$161b2o248b2o52b2o248b2o$161b2o248b2o52b2o248b2o15$249b2o
376b2o$249b2o376b2o14$161b2o248b2o52b2o248b2o$161b2o248b2o52b2o248b2o
15$249b2o376b2o$249b2o376b2o14$161b2o248b2o52b2o248b2o$161b2o248b2o52b
2o248b2o15$249b2o376b2o$249b2o376b2o14$161b2o248b2o52b2o248b2o$161b2o
248b2o52b2o248b2o15$249b2o376b2o$249b2o376b2o14$161b2o248b2o52b2o248b
2o$161b2o248b2o52b2o248b2o15$249b2o376b2o$249b2o376b2o14$161b2o248b2o
52b2o248b2o$161b2o248b2o52b2o248b2o15$249b2o376b2o$249b2o376b2o14$161b
2o248b2o52b2o248b2o$161b2o248b2o52b2o248b2o15$249b2o376b2o$249b2o376b
2o14$161b2o248b2o52b2o248b2o$161b2o248b2o52b2o248b2o15$249b2o376b2o$
249b2o376b2o14$161b2o248b2o52b2o248b2o$161b2o248b2o52b2o248b2o15$249b
2o376b2o$249b2o376b2o14$161b2o248b2o52b2o248b2o$161b2o248b2o52b2o248b
2o15$249b2o376b2o$249b2o376b2o14$161b2o248b2o52b2o248b2o$161b2o248b2o
52b2o248b2o15$249b2o376b2o$249b2o376b2o14$161b2o248b2o52b2o248b2o$161b
2o248b2o52b2o248b2o15$249b2o376b2o$249b2o376b2o14$161b2o248b2o52b2o
248b2o$161b2o248b2o52b2o248b2o15$249b2o376b2o$249b2o376b2o14$161b2o
248b2o52b2o248b2o$161b2o248b2o52b2o248b2o15$249b2o376b2o$249b2o376b2o
14$161b2o248b2o52b2o248b2o$161b2o248b2o52b2o248b2o15$249b2o376b2o$249b
2o376b2o14$161b2o248b2o52b2o248b2o$161b2o248b2o52b2o248b2o15$249b2o
376b2o$249b2o376b2o14$161b2o248b2o52b2o248b2o$161b2o248b2o52b2o248b2o
15$249b2o376b2o$249b2o376b2o14$161b2o248b2o52b2o248b2o$161b2o248b2o52b
2o248b2o15$249b2o376b2o$249b2o376b2o14$161b2o248b2o52b2o248b2o$161b2o
248b2o52b2o248b2o15$249b2o376b2o$249b2o376b2o14$161b2o248b2o52b2o248b
2o$161b2o248b2o52b2o248b2o15$249b2o376b2o$249b2o376b2o14$161b2o248b2o
52b2o248b2o$161b2o248b2o52b2o248b2o15$249b2o376b2o$249b2o376b2o2$719b
2o$717b2obo$717b2o$154bo564b2o$154bo566b2o$153bobo$720bobo$155b2o564bo
2$155b2o3$411b2o52b2o$411b2o52b2o2$163b2o$153b2o8b2o558b2o$153b2o568b
2o6$164b3o$164b3o$164b2obo$163bob2o$164b2o$249b2o376b2o$249b2o376b2o5$
161b2o552b2o$161b2o552b2o8$411b2o52b2o$411b2o52b2o3$153b2o568b2o$153b
2o568b2o10$249bo375b3o$248b4o373bo2bo$243bo7bo373b2ob2o$242bo3bo3b3o
376bo$242b5o3b4o368bo2b2ob2o$243bo6bo3bo368bob4o$243b3o2bobo$161b2o51b
obo29bobobob2o461b2o$161b2o52b2o30bo3bo383b3o77b2o$215bo2$232b3o$233bo
422bobo$233bo422b2o$232b3o422bo$253b2o368b2o$253bo2bo2bo151b2o52b2o
156b2o$255bo3bo151b2o52b2o$255b4o$258bo$153b2o103bo464b2o$153b2o102bo
465b2o$256b2o$249b2o376b2o$249b2o376b2o$273bobo$274b2o$274bo3$597bobo$
101bo495b2o$100bo497bo$100b3o3$241b2o392b2o144bo$241b2o392b2o145bo$
161b2o552b2o63b3o$161b2o552b2o8$411b2o52b2o$411b2o52b2o$218bo$217bo$
153b2o62b3o503b2o$153b2o568b2o$250bo$250b2o412bo$249bobo413bo$249bobob
o409b3o$249b2ob2obo$256bo375b2o$254b2o369bo5bo2bo$241bo390b3obo$241bo
382bobo5bo3bo$241bo383bo10bo6$253b2o368b2o$161b2o90b2o368b2o90b2o$161b
2o552b2o6$249b2o376b2o$249b2o376b2o$411b2o52b2o$411b2o52b2o3$153b2o
124bo443b2o$153b2o122bobo443b2o$278b2o3$593bo$593bobo$241b2o350b2o40b
2o$241b2o392b2o10$161b2o552b2o$161b2o552b2o5$51b3o770b3o$213bobo33b2o
376b2o$213b2o34b2o376b2o$214bo196b2o52b2o$411b2o52b2o2$667bobo$153b2o
513b2o53b2o$153b2o513bo54b2o$783b2o$333bobo446bobo$334b2o448bo$334bo2$
98b2o141b2o392b2o$98bobo140b2o294bobo95b2o$98bo438b2o$538bo8$161b2o
552b2o$161b2o552b2o5$51b3o770b3o$249b2o376b2o$249b2o376b2o$158bo252b2o
52b2o$157bo253b2o52b2o$157b3o2$153b2o568b2o$153b2o567bobo$724bo3$158b
2o$158bobo$158bo82b2o392b2o$241b2o392b2o9$162b3o551bo$161bo2bo549b4o$
160b2ob2o549bo7bo$160bo552b3o3bo3bo$160b2ob2o2bo544b4o3b5o$161b4obo
544bo3bo6bo$715bobo2b3o$51b3o658b2obobobo104b3o$152b3o94b2o376b2o85bo
3bo$249b2o376b2o$463bo$462bo268b3o$339bo121b2obobo196b2o67bo$337bobo
123bobobo194bobo67bo$338b2o76b2o50bo195bo66b3o$165b2o242bo5bo2bo48bo
243b2o$165b2o249b3obo37b3o245bo2bo2bo$218b2o188bobo5bo3bo36bo2bo72bo
172bo3bo$218bobo188bo10bo36b3o73bobo171b4o$218bo314b2o172bo$707bo$241b
2o219bo172b2o71bo$241b2o392b2o71b2o$161b2o552b2o$161b2o244b2o60b2o244b
2o$407b2o60b2o219bobo$690b2o$691bo3$190bobo$191b2o$191bo219b2o52b2o$
411b2o52b2o5$51b3o770b3o$249b2o376b2o$249b2o376b2o$603b2o$602bobo$604b
o2$419b2o36b2o$278b2o139b2o36b2o$278bobo$278bo$747bo$748bo$746b3o$241b
2o392b2o$241b2o392b2o$125bo35b2o552b2o$124bo36b2o552b2o$124b3o7$411b2o
52b2o$411b2o52b2o4$451bobo$51b3o398b2o370b3o$249b2o201bo90b2o82b2o$
249b2o291bobo82b2o$420bo123bo$419bobo$419bobo$338b2o80b2o$338bobo78b3o
35b2o$338bo118b2o6$241b2o392b2o$241b2o392b2o$161b2o552b2o$161b2o552b2o
8$411b2o52b2o$411b2o52b2o3$466b5o$460b4obobo3b2o10b2o$51b3o360bo44bo5b
o5b2o9bobo339b3o$249b2o160b2o2b2o40b2o2b2o2b4obo13bo142b2o$249b2o159b
2o41bo3b2obo2bo3bo159b2o$402b2ob2o3bo3bo38bo2b2o3b2o12bo$398b2o3bo2bo
4b4o32b3o3bo2b2ob2obo10b3o$398bo4b2obo9bo3b2o4b3o25b7o2bo8b3obo$398bo
4bo12bob2ob2o32b7obo7b2o5b2o156b2o$396b2o6b2o7bo2bobo8bo31bo3bo6bob2o
2bo159b2o$396b2obo5bo7bo4bo4bobobo31bo9bo4b3o160bo$397b2o20bo8bo28b2o
9b2o4b3o$245bob2o172b3o4bo29bo10b4o$245bo3bo172bobo4bo28bobo9b3o$250bo
174bo3bo29bo11b2o$241b2o2b2o3bo175b4o$240b2o6b3o$241b2o$161b2o79bo168b
2o52b2o248b2o$161b2o248b2o52b2o248b2o$247b2o381b3o$249bo379bo2bo$247b
2o380bo3bo$628bo2b3o$629b4o$249b2o$249b2o$633bobo$634b2o$634bo2$419b2o
36b2o$237bobo179b2o36b2o$51b3o183b2o585b3o$238bo194bo$431bobo$432b2o2$
241b2o392b2o$241b2o196bo195b2o$439bobo$439b2o$807bo$808bo$806b3o3$65bo
$64bo$64b3o94b2o248b2o52b2o248b2o$161b2o248b2o52b2o248b2o6$249b2o376b
2o$249b2o376b2o5$419b2o36b2o$419b2o36b2o$51b3o8b2o760b3o$62bobo$62bo3$
241b2o392b2o172b2o$241b2o392b2o171bobo$810bo9$161b2o248b2o52b2o248b2o$
161b2o248b2o52b2o248b2o5$51b3o770b3o$249b2o376b2o$249b2o376b2o5$122b2o
443bo$122bobo442bobo$51b3o68bo444b2o255b3o3$315bo433b2o$313bobo432bobo
$241b2o71b2o319b2o113bo$241b2o392b2o10$161b2o248b2o52b2o248b2o$161b2o
248b2o52b2o248b2o5$51b3o770b3o$249b2o376b2o64bobo$249b2o376b2o65b2o$
694bo2$182b2o$177bobo2bobo$177b2o3bo$178bo$51b3o664b3o103b3o$689b2o26b
o2bo$688bobo26bo3bo$690bo25bo$154bo560b2ob3o$154b2o85b2o392b2o79bo$
153bo2bo84b2o392b2o79b2o3bo$154bobo560bo$153bo2bo$153bo2bo$153bobo566b
obo$154b3o566b2o$723bo4$411b2o52b2o$411b2o52b2o2$163b2o$153b2o8b2o558b
2o$153b2o568b2o$51b3o770b3o$164b3o82b2o376b2o$164b3o82b2o376b2o$164b4o
74b2o$166bob2o72bobo$165b2ob2o72bo$161b2o2b5o$166b3o$168bo460b2o$51b3o
574bobo193b3o$630bo4$241b2o392b2o$241b2o392b2o$161b2o552b2o$161b2o552b
2o8$411b2o52b2o$411b2o52b2o5$51b3o770b3o$249b2o51b2o323b2o$249b2o51bob
o322b2o$302bo2$507bo$507bobo59b2o$507b2o59bobo$570bo$51b3o770b3o$375bo
$373bobo$374b2o2$241b2o392b2o$241b2o392b2o$161b2o552b2o$161b2o552b2o$
218bo$216bobo$217b2o3$654bo$654bobo$411b2o52b2o187b2o$411b2o52b2o4$
362b2o$51b3o308bobo459b3o$249b2o111bo264b2o$249b2o376b2o2$509b2o$508bo
bo$510bo3$51b3o770b3o3$98bobo$98b2o$99bo141b2o392b2o$241b2o392b2o$161b
2o552b2o$161b2o552b2o65bobo$783b2o$783bo4$418b3o$418bo2bo$417bo3bo37b
3o$417bobob2o$418b2ob2o$253bo155b2o8b3o35b2o8b2o$254bo154b2o46b3o3bo3b
2o$252bo2bo201b2o2bobo$51b3o408b2o360b3o2$247b2o5bo$246b3o160bo220bo$
246b2o3bo157bobo218b2o$245b2o5b2o155b2o219bob2o$246b2o4bo373bo$241bo7b
2o374b2o4bo2bo$241bo10b2o153b2o60b2o153b2o2bobob2o$51b3o187bo165b2o60b
2o157b2o2bobo189b3o$631bo2bo$634bo$631bobo$632bo2$253b2o368b2o$161b2o
90b2o156b2o52b2o156b2o90b2o$161b2o248b2o52b2o248b2o6$249b2o376b2o$249b
2o376b2o5$419b2o36b2o$419b2o36b2o$51b3o770b3o$282bo$283bo$281b3o2$241b
2o392b2o$241b2o347bo44b2o$589bo$589b3o$51b3o770b3o7$161b2o248b2o52b2o
248b2o$161b2o248b2o52b2o248b2o6$249b2o376b2o$249b2o376b2o2$211bo$209b
2o$210b2o574b3o$788bo$787bo$51b3o617bo152b3o$672b2o$94b3o574b2o$94bo$
95bo$241b2o392b2o$241b2o392b2o3$51b3o770b3o7$161b2o248b2o52b2o248b2o$
161b2o248b2o52b2o248b2o6$249b2o376b2o$249b2o376b2o2$726b3o$728bo$727bo
3$51b3o100b3o667b3o$154bo$155bo3$241b2o392b2o$241b2o392b2o3$51b3o770b
3o7$411b2o52b2o$411b2o52b2o250b3o$717b3o$715b2o$157bo5b3o547b2o4bo$
156b2o562bo$153bo3b2o4b3o546bo9bo$153bo9b3o83b2o376b2o83bo2bobo3bobo$
153bo95b2o376b2o37b3o55bo$668bo48bo6bo$667bo49bo$719bo3bo$720b2o$214b
3o$165b2o47bo127bo368b2o$51b3o111b2o48bo127bo367b2o111b3o$341b3o3$530b
o$241b2o286bo105b2o$241b2o286b3o103b2o$161b2o552b2o$161b2o552b2o$51b3o
770b3o7$411b2o52b2o$411b2o52b2o5$606b3o$249b2o357bo18b2o$249b2o356bo
19b2o3$274b3o$274bo$275bo2$51b3o770b3o5$241b2o$241b2o$161b2o552b2o$
161b2o552b2o$51b3o770b3o7$411b2o52b2o$411b2o52b2o3$546b3o$548bo$547bo$
249b2o376b2o$249b2o376b2o$334b3o$334bo$335bo4$51b3o770b3o7$161b2o552b
2o$161b2o552b2o$51b3o770b3o6$463bo$411b2o51bo$411b2o47bo6bo$459bo3b3o
2bo17b3o$458bo9bo19bo$410b2o46bo4b4ob2o17bo$410bobo44bo5b4obo$405b3o2b
3o45bo5bo2bo$249b2o143b3o7b2ob2o7b2o41b4o164b2o$249b2o143bo9bo10b2o43b
2o165b2o$395bo21bobo4bo24b2o$401b2o16b3o2bo3b3o20bo$401b2o13bo2b3o2bo
23b3o22b4o$416b2o31bo21b8o$402b4o10b3o52b5ob4o$402b3obo11b2o50b2o2b2ob
o2bo$51b3o348bo3bo10b2o58b3o344b3o$404b3o62b2o6bo$470bo3b3o$471b2o$
471bo$470bo2$161b2o248b2o52b2o248b2o$161b2o248b2o52b2o248b2o$51b3o770b
3o11$419b2o36b2o$419b2o36b2o2$249b2o376b2o$249b2o376b2o2$436bo$437bo$
435b3o3$51b3o382bo387b3o$435bo$435b3o5$161b2o248b2o52b2o248b2o$161b2o
248b2o52b2o248b2o$51b3o8bo761b3o$60b2o$61b2o3$820bo$821b2o$820b2o4$
419b2o36b2o$419b2o36b2o2$249b2o376b2o$249b2o376b2o7$51b3o770b3o7$161b
2o248b2o52b2o248b2o$161b2o248b2o52b2o248b2o$51b3o770b3o14$249b2o376b2o
$249b2o376b2o7$51b3o770b3o7$161b2o248b2o52b2o248b2o$161b2o248b2o52b2o
248b2o$51b3o770b3o14$249b2o376b2o$249b2o376b2o7$51b3o770b3o7$2bo158b2o
248b2o52b2o248b2o$2o159b2o248b2o52b2o248b2o$b2o48b3o770b3o3$880bo$881b
2o$880b2o9$249b2o376b2o$249b2o376b2o7$51b3o770b3o7$161b2o248b2o52b2o
248b2o$161b2o248b2o52b2o248b2o$51b3o770b3o14$249b2o376b2o$249b2o376b2o
7$51b3o770b3o7$161b2o248b2o52b2o248b2o$161b2o248b2o52b2o248b2o$51b3o
770b3o14$249b2o376b2o$249b2o376b2o7$51b3o770b3o7$161b2o248b2o52b2o248b
2o$161b2o248b2o52b2o248b2o$51b3o770b3o14$249b2o376b2o$249b2o376b2o!

For comparison purposes, here's the same pattern with the first blinker puffer modified into a biblock puffer:

Code: Select all

x = 776, y = 1873, rule = B3/S23
110b2o248b2o52b2o248b2o$110b2o248b2o52b2o248b2o15$198b2o376b2o$198b2o
376b2o14$110b2o248b2o52b2o248b2o$110b2o248b2o52b2o248b2o15$198b2o376b
2o$198b2o376b2o14$110b2o248b2o52b2o248b2o$110b2o248b2o52b2o248b2o15$
198b2o376b2o$198b2o376b2o14$110b2o248b2o52b2o248b2o$110b2o248b2o52b2o
248b2o15$198b2o376b2o$198b2o376b2o14$110b2o248b2o52b2o248b2o$110b2o
248b2o52b2o248b2o15$198b2o376b2o$198b2o376b2o14$110b2o248b2o52b2o248b
2o$110b2o248b2o52b2o248b2o15$198b2o376b2o$198b2o376b2o14$110b2o248b2o
52b2o248b2o$110b2o248b2o52b2o248b2o15$198b2o376b2o$198b2o376b2o14$110b
2o248b2o52b2o248b2o$110b2o248b2o52b2o248b2o15$198b2o376b2o$198b2o376b
2o14$110b2o248b2o52b2o248b2o$110b2o248b2o52b2o248b2o15$198b2o376b2o$
198b2o376b2o14$110b2o248b2o52b2o248b2o$110b2o248b2o52b2o248b2o15$198b
2o376b2o$198b2o376b2o14$110b2o248b2o52b2o248b2o$110b2o248b2o52b2o248b
2o15$198b2o376b2o$198b2o376b2o14$110b2o248b2o52b2o248b2o$110b2o248b2o
52b2o248b2o15$198b2o376b2o$198b2o376b2o14$110b2o248b2o52b2o248b2o$110b
2o248b2o52b2o248b2o15$198b2o376b2o$198b2o376b2o14$110b2o248b2o52b2o
248b2o$110b2o248b2o52b2o248b2o15$198b2o376b2o$198b2o376b2o14$110b2o
248b2o52b2o248b2o$110b2o248b2o52b2o248b2o15$198b2o376b2o$198b2o376b2o
14$110b2o248b2o52b2o248b2o$110b2o248b2o52b2o248b2o15$198b2o376b2o$198b
2o376b2o14$110b2o248b2o52b2o248b2o$110b2o248b2o52b2o248b2o15$198b2o
376b2o$198b2o376b2o14$110b2o248b2o52b2o248b2o$110b2o248b2o52b2o248b2o
15$198b2o376b2o$198b2o376b2o14$110b2o248b2o52b2o248b2o$110b2o248b2o52b
2o248b2o15$198b2o376b2o$198b2o376b2o14$110b2o248b2o52b2o248b2o$110b2o
248b2o52b2o248b2o15$198b2o376b2o$198b2o376b2o14$110b2o248b2o52b2o248b
2o$110b2o248b2o52b2o248b2o15$198b2o376b2o$198b2o376b2o14$110b2o248b2o
52b2o248b2o$110b2o248b2o52b2o248b2o15$198b2o376b2o$198b2o376b2o14$110b
2o248b2o52b2o248b2o$110b2o248b2o52b2o248b2o15$198b2o376b2o$198b2o376b
2o14$110b2o248b2o52b2o248b2o$110b2o248b2o52b2o248b2o15$198b2o376b2o$
198b2o376b2o14$110b2o248b2o52b2o248b2o$110b2o248b2o52b2o248b2o15$198b
2o376b2o$198b2o376b2o14$110b2o248b2o52b2o248b2o$110b2o248b2o52b2o248b
2o15$198b2o376b2o$198b2o376b2o14$110b2o248b2o52b2o248b2o$110b2o248b2o
52b2o248b2o15$198b2o376b2o$198b2o376b2o14$110b2o248b2o52b2o248b2o$110b
2o248b2o52b2o248b2o13$668bo$667b3o$198b2o376b2o88bo2b2o$198b2o376b2o
87b2o$664b2ob3o$103b2o559b2o2bo$102b3o562b3o$102bo2bo559b2o$102b2ob2o
558b2o$102b2ob2o$101b2ob2o$102bo570bo$103b3o565bobo$104bo567b2o4$360b
2o52b2o$360b2o52b2o2$112b2o$102b2o8b2o558b2o$102b2o568b2o$114bo$113bob
o$112bo$113bo3bo$113bo4bo$119bo2$114bo$117bo2$198b2o376b2o$198b2o376b
2o5$110b2o552b2o$110b2o552b2o8$360b2o52b2o$360b2o52b2o3$102b2o568b2o$
102b2o568b2o10$198bo375b3o$197b4o373bo2bo$192bo7bo373b2ob2o$191bo3bo3b
3o376bo$191b5o3b4o368bo2b2ob2o$192bo6bo3bo368bob4o$192b3o2bobo$110b2o
83bobobob2o461b2o$110b2o84bo3bo383b3o77b2o$166bo$167b2o$166b2o13b3o$
182bo$182bo$181b3o420bo$202b2o368b2o28b2o$202bo2bo2bo151b2o52b2o156b2o
29b2o$204bo3bo151b2o52b2o$204b4o$207bo$102b2o103bo464b2o$102b2o102bo
465b2o$205b2o$198b2o376b2o$198b2o376b2o$222bobo$223b2o$223bo3$546bobo$
546b2o$547bo2$47bo$47bobo$47b2o141b2o392b2o$190b2o392b2o$110b2o552b2o$
110b2o552b2o67bo$731bobo$732b2o6$360b2o52b2o$360b2o52b2o$167bo$166bo$
102b2o62b3o503b2o$102b2o568b2o$199bo$199b2o412bo$198bobo413bo$198bobob
o409b3o$198b2ob2obo$205bo375b2o$203b2o369bo5bo2bo$190bo390b3obo$190bo
382bobo5bo3bo$190bo383bo10bo6$202b2o368b2o$110b2o90b2o368b2o90b2o$110b
2o552b2o6$198b2o376b2o$198b2o376b2o$360b2o52b2o$360b2o52b2o3$102b2o
124bo443b2o$102b2o122bobo443b2o$227b2o3$542bo$542bobo$190b2o350b2o40b
2o$190b2o392b2o10$110b2o552b2o$110b2o552b2o6$5b2o155bobo33b2o376b2o
191b2o$5b2o155b2o34b2o376b2o191b2o$163bo196b2o52b2o$5b2o353b2o52b2o
353b2o$5b2o762b2o$616bobo$102b2o513b2o53b2o$102b2o513bo54b2o$732b2o$
282bobo446bobo$283b2o448bo$283bo2$47b2o141b2o392b2o$47bobo140b2o294bob
o95b2o$47bo438b2o$487bo8$110b2o552b2o$110b2o552b2o6$5b2o191b2o376b2o
191b2o$5b2o191b2o376b2o191b2o$107bo252b2o52b2o$5b2o99bo253b2o52b2o353b
2o$5b2o99b3o660b2o2$102b2o568b2o$102b2o567bobo$673bo3$107b2o$107bobo$
107bo82b2o392b2o$190b2o392b2o9$111b3o551bo$110bo2bo549b4o$109b2ob2o
549bo7bo$109bo552b3o3bo3bo$109b2ob2o2bo544b4o3b5o$110b4obo544bo3bo6bo$
664bobo2b3o$661b2obobobo$5b2o94b3o94b2o376b2o85bo3bo101b2o$5b2o191b2o
376b2o191b2o$412bo$5b2o404bo268b3o86b2o$5b2o281bo121b2obobo196b2o67bo
87b2o$286bobo123bobobo194bobo67bo$287b2o76b2o50bo195bo66b3o$114b2o242b
o5bo2bo48bo243b2o$114b2o249b3obo37b3o245bo2bo2bo$167b2o188bobo5bo3bo
36bo2bo72bo172bo3bo$167bobo188bo10bo36b3o73bobo171b4o$167bo314b2o172bo
$656bo$190b2o219bo172b2o71bo$190b2o392b2o71b2o$110b2o552b2o$110b2o244b
2o60b2o244b2o$356b2o60b2o219bobo$639b2o$640bo3$139bobo$140b2o$140bo
219b2o52b2o$360b2o52b2o6$5b2o191b2o376b2o191b2o$5b2o191b2o376b2o191b2o
$552b2o$5b2o544bobo215b2o$5b2o546bo215b2o2$368b2o36b2o$227b2o139b2o36b
2o$227bobo$227bo$696bo$697bo$695b3o$190b2o392b2o$190b2o392b2o$74bo35b
2o552b2o$73bo36b2o552b2o$73b3o7$360b2o52b2o$360b2o52b2o4$400bobo$401b
2o$5b2o191b2o201bo90b2o82b2o191b2o$5b2o191b2o291bobo82b2o191b2o$369bo
123bo$5b2o361bobo398b2o$5b2o361bobo398b2o$287b2o80b2o$287bobo78b3o35b
2o$287bo118b2o6$190b2o392b2o$190b2o392b2o$110b2o552b2o$110b2o552b2o8$
360b2o52b2o$360b2o52b2o3$415b5o$409b4obobo3b2o10b2o$363bo44bo5bo5b2o9b
obo$5b2o191b2o160b2o2b2o40b2o2b2o2b4obo13bo142b2o191b2o$5b2o191b2o159b
2o41bo3b2obo2bo3bo159b2o191b2o$351b2ob2o3bo3bo38bo2b2o3b2o12bo$5b2o
340b2o3bo2bo4b4o32b3o3bo2b2ob2obo10b3o344b2o$5b2o340bo4b2obo9bo3b2o4b
3o25b7o2bo8b3obo343b2o$347bo4bo12bob2ob2o32b7obo7b2o5b2o156b2o$345b2o
6b2o7bo2bobo8bo31bo3bo6bob2o2bo159b2o$345b2obo5bo7bo4bo4bobobo31bo9bo
4b3o160bo$346b2o20bo8bo28b2o9b2o4b3o$194bob2o172b3o4bo29bo10b4o$194bo
3bo172bobo4bo28bobo9b3o$199bo174bo3bo29bo11b2o$190b2o2b2o3bo175b4o$
189b2o6b3o$190b2o$110b2o79bo168b2o52b2o248b2o$110b2o248b2o52b2o248b2o$
196b2o381b3o$198bo379bo2bo$196b2o380bo3bo$577bo2b3o$578b4o$198b2o$198b
2o$582bobo$583b2o$583bo2$368b2o36b2o$186bobo179b2o36b2o$186b2o$5b2o
180bo194bo386b2o$5b2o373bobo386b2o$381b2o$5b2o762b2o$5b2o183b2o392b2o
183b2o$190b2o196bo195b2o$388bobo$388b2o$756bo$757bo$755b3o3$14bo$13bo$
13b3o94b2o248b2o52b2o248b2o$110b2o248b2o52b2o248b2o6$198b2o376b2o$198b
2o376b2o5$368b2o36b2o$368b2o36b2o$11b2o$5b2o4bobo755b2o$5b2o4bo757b2o
2$5b2o762b2o$5b2o183b2o392b2o172b2o9b2o$190b2o392b2o171bobo$759bo9$
110b2o248b2o52b2o248b2o$110b2o248b2o52b2o248b2o5$3o770b3o$198b2o376b2o
$198b2o376b2o5$71b2o443bo$71bobo442bobo$71bo444b2o$5b2o762b2o$5b2o762b
2o$264bo433b2o$5b2o255bobo432bobo69b2o$5b2o183b2o71b2o319b2o113bo69b2o
$190b2o392b2o10$110b2o248b2o52b2o248b2o$110b2o248b2o52b2o248b2o5$3o
770b3o$198b2o376b2o64bobo$198b2o376b2o65b2o$643bo2$131b2o$126bobo2bobo
$126b2o3bo$127bo$667b3o$5b2o631b2o26bo2bo99b2o$5b2o630bobo26bo3bo98b2o
$639bo25bo$5b2o96bo560b2ob3o99b2o$5b2o96b2o85b2o392b2o79bo103b2o$102bo
2bo84b2o392b2o79b2o3bo$103bobo560bo$102bo2bo$102bo2bo$102bobo566bobo$
103b3o566b2o$672bo4$360b2o52b2o$360b2o52b2o2$112b2o$102b2o8b2o558b2o$
102b2o568b2o$3o770b3o$113b3o82b2o376b2o$113b3o82b2o376b2o$113b4o74b2o$
115bob2o72bobo$114b2ob2o72bo$110b2o2b5o$115b3o$117bo460b2o$577bobo$5b
2o572bo189b2o$5b2o762b2o2$5b2o762b2o$5b2o183b2o392b2o183b2o$190b2o392b
2o$110b2o552b2o$110b2o552b2o8$360b2o52b2o$360b2o52b2o5$3o770b3o$198b2o
51b2o323b2o$198b2o51bobo322b2o$251bo2$456bo$456bobo59b2o$456b2o59bobo$
519bo2$5b2o317bo444b2o$5b2o315bobo444b2o$323b2o$5b2o762b2o$5b2o183b2o
392b2o183b2o$190b2o392b2o$110b2o552b2o$110b2o552b2o$167bo$165bobo$166b
2o3$603bo$603bobo$360b2o52b2o187b2o$360b2o52b2o4$311b2o$3o308bobo459b
3o$198b2o111bo264b2o$198b2o376b2o2$458b2o$457bobo$459bo4$5b2o762b2o$5b
2o762b2o$47bobo$5b2o40b2o720b2o$5b2o41bo141b2o392b2o183b2o$190b2o392b
2o$110b2o552b2o$110b2o552b2o65bobo$732b2o$732bo4$367b3o$367bo2bo$366bo
3bo37b3o$366bobob2o$367b2ob2o$202bo155b2o8b3o35b2o8b2o$203bo154b2o46b
3o3bo3b2o$201bo2bo201b2o2bobo$3o408b2o360b3o2$196b2o5bo$195b3o160bo
220bo$195b2o3bo157bobo218b2o$194b2o5b2o155b2o219bob2o$195b2o4bo373bo$
190bo7b2o374b2o4bo2bo$190bo10b2o153b2o60b2o153b2o2bobob2o$190bo165b2o
60b2o157b2o2bobo$5b2o573bo2bo185b2o$5b2o576bo185b2o$580bobo$5b2o574bo
187b2o$5b2o762b2o$202b2o368b2o$110b2o90b2o156b2o52b2o156b2o90b2o$110b
2o248b2o52b2o248b2o6$198b2o376b2o$198b2o376b2o5$368b2o36b2o$368b2o36b
2o$3o770b3o$231bo$232bo$230b3o2$190b2o392b2o$190b2o347bo44b2o$538bo$
538b3o2$5b2o762b2o$5b2o762b2o2$5b2o762b2o$5b2o762b2o2$110b2o248b2o52b
2o248b2o$110b2o248b2o52b2o248b2o6$198b2o376b2o$198b2o376b2o2$160bo$
158b2o$159b2o574b3o$737bo$736bo$3o617bo152b3o$621b2o$43b3o574b2o$43bo$
44bo$190b2o392b2o$190b2o392b2o4$5b2o762b2o$5b2o762b2o2$5b2o762b2o$5b2o
762b2o2$110b2o248b2o52b2o248b2o$110b2o248b2o52b2o248b2o6$198b2o376b2o$
198b2o376b2o2$675b3o$677bo$676bo3$3o100b3o667b3o$103bo$104bo3$190b2o
392b2o$190b2o392b2o4$5b2o762b2o$5b2o762b2o2$5b2o762b2o$5b2o762b2o2$
360b2o52b2o$360b2o52b2o250b3o$666b3o$664b2o$106bo5b3o547b2o4bo$105b2o
562bo$102bo3b2o4b3o546bo9bo$102bo9b3o83b2o376b2o83bo2bobo3bobo$102bo
95b2o376b2o37b3o55bo$617bo48bo6bo$616bo49bo$668bo3bo$669b2o$163b3o$
114b2o47bo127bo368b2o$3o111b2o48bo127bo367b2o111b3o$290b3o3$479bo$190b
2o286bo105b2o$190b2o286b3o103b2o$110b2o552b2o$110b2o552b2o2$5b2o762b2o
$5b2o762b2o2$5b2o762b2o$5b2o762b2o2$360b2o52b2o$144bo215b2o52b2o$145bo
$143b3o3$555b3o68bo$198b2o357bo18b2o47bo$198b2o356bo19b2o47b3o3$223b3o
$223bo$224bo2$3o770b3o5$190b2o392b2o$190b2o392b2o$110b2o552b2o$110b2o
552b2o2$5b2o762b2o$5b2o64bo697b2o$69b2o$5b2o63b2o697b2o$5b2o762b2o2$
360b2o52b2o293bo$360b2o52b2o294b2o$709b2o2$495b3o$497bo$496bo$198b2o
376b2o$198b2o376b2o$283b3o$283bo$284bo4$3o770b3o5$190b2o392b2o$190b2o
392b2o$110b2o552b2o$110b2o552b2o2$5b2o762b2o$5b2o762b2o2$5b2o762b2o$5b
2o762b2o$412bo$360b2o51bo$360b2o47bo6bo$408bo3b3o2bo17b3o$407bo9bo19bo
$359b2o46bo4b4ob2o17bo$359bobo44bo5b4obo$354b3o2b3o45bo5bo2bo$198b2o
143b3o7b2ob2o7b2o41b4o164b2o$198b2o143bo9bo10b2o43b2o165b2o$344bo21bob
o4bo24b2o$350b2o16b3o2bo3b3o20bo$350b2o13bo2b3o2bo23b3o22b4o$365b2o31b
o21b8o$351b4o10b3o52b5ob4o$351b3obo11b2o50b2o2b2obo2bo$3o348bo3bo10b2o
58b3o344b3o$353b3o62b2o6bo$419bo3b3o$420b2o$420bo$419bo2$110b2o248b2o
52b2o248b2o$110b2o248b2o52b2o248b2o2$5b2o762b2o$5b2o762b2o2$5b2o762b2o
$5b2o762b2o6$368b2o36b2o$368b2o36b2o2$198b2o376b2o$198b2o376b2o2$385bo
$386bo$384b3o3$3o382bo387b3o$384bo$384b3o5$110b2o248b2o52b2o248b2o$
110b2o248b2o52b2o248b2o$11bo756bo$5b2o2b2o756b3o$5b2o3b2o754b5o$765b2o
3b2o$5b2o757b3o3b3o$5b2o758b2o3b2o$766b5o$767b3o$768bo3$368b2o36b2o$
368b2o36b2o2$198b2o376b2o$198b2o376b2o7$3o770b3o7$7bo102b2o248b2o52b2o
248b2o102bo$6bobo101b2o248b2o52b2o248b2o101bobo$6bobo758bobo$7bo760bo
2$2b2o7b2o750b2o7b2o$bo2bo5bo2bo748bo2bo5bo2bo$2b2o7b2o750b2o7b2o2$7bo
760bo$6bobo758bobo$6bobo758bobo$7bo760bo4$198b2o376b2o$198b2o376b2o7$
3o770b3o7$7bo102b2o248b2o52b2o248b2o102bo$6bobo101b2o248b2o52b2o248b2o
101bobo$6bobo758bobo$7bo760bo2$2b2o7b2o750b2o7b2o$bo2bo5bo2bo748bo2bo
5bo2bo$2b2o7b2o750b2o7b2o2$7bo760bo$6bobo758bobo$6bobo758bobo$7bo760bo
4$198b2o376b2o$198b2o376b2o7$3o770b3o7$7bo102b2o248b2o52b2o248b2o102bo
$6bobo101b2o248b2o52b2o248b2o101bobo$6bobo758bobo$7bo760bo2$2b2o7b2o
750b2o7b2o$bo2bo5bo2bo748bo2bo5bo2bo$2b2o7b2o750b2o7b2o2$7bo760bo$6bob
o758bobo$6bobo758bobo$7bo760bo4$198b2o376b2o$198b2o376b2o7$3o770b3o7$
7bo102b2o248b2o52b2o248b2o102bo$6bobo101b2o248b2o52b2o248b2o101bobo$6b
obo758bobo$7bo760bo2$2b2o7b2o750b2o7b2o$bo2bo5bo2bo748bo2bo5bo2bo$2b2o
7b2o750b2o7b2o2$7bo760bo$6bobo758bobo$6bobo758bobo$7bo760bo4$198b2o
376b2o$198b2o376b2o7$3o770b3o7$7bo102b2o248b2o52b2o248b2o102bo$6bobo
101b2o248b2o52b2o248b2o101bobo$6bobo758bobo$7bo760bo2$2b2o7b2o750b2o7b
2o$bo2bo5bo2bo748bo2bo5bo2bo$2b2o7b2o750b2o7b2o2$7bo760bo$6bobo758bobo
$6bobo758bobo$7bo760bo4$198b2o376b2o$198b2o376b2o7$3o770b3o7$7bo102b2o
248b2o52b2o248b2o102bo$6bobo101b2o248b2o52b2o248b2o101bobo$6bobo758bob
o$7bo760bo2$2b2o7b2o750b2o7b2o$bo2bo5bo2bo748bo2bo5bo2bo$2b2o7b2o750b
2o7b2o2$7bo760bo$6bobo758bobo$6bobo758bobo$7bo760bo4$198b2o376b2o$198b
2o376b2o!

The only difference is that the two leading Herschels have been advanced by ten ticks. But notice that because the ash now contains a biblock instead of a blinker, the trailing backrake stream no longer escapes. As it stands, it turns the biblock into a honeyfarm.

There probably isn't room to shoot down that backrake stream without affecting the biblock. But if another fore-and-back rake is appended, there are maybe fifty different timings to try that will modify the glider-plus-biblock collision in various ways to get other ash options.

It's a very quickly expanding search space, and so if all the non-explosive possibilities can be enumerated, it's a search space that will start producing sideways *WSSes in fairly short order.

[Gustone]

Do I have the idea right in what I posted above?

------------------------------------------------------------------------------------------------------------------------------------------

tracklayerq.mc

(105.07 KiB) Downloaded 122 times

This relative position between the LWSS streams will work, now, can anyone figure out how to remove these two blocks before the next LWSS crashes into them?

[dvgrn]

This relative position between the LWSS streams will work, now, can anyone figure out how to remove these two blocks before the next LWSS crashes into them?

Hm, I don't see anything better than two forward glider streams. There's a lot of space to work with -- maybe build one-time turners to convert a backward stream into a forward stream, then trigger the OTTs at the right time?

Once we give up and admit that two more glider streams are going to be needed (and maybe some more eventually for the rest of the cleanup) there are lots of glider timings that will work, so that's good anyway.

Code: Select all

x = 618, y = 774, rule = B3/S23
615b2o$616b2o$615bo27$555b2o$556b2o$555bo27$495b2o$496b2o$495bo27$435b
2o$436b2o$435bo27$375b2o$376b2o$375bo27$315b2o$316b2o$315bo4$594b4o$594b
o3bo$594bo$595bo2bo20$255b2o$256b2o$255bo6$474b4o$474bo3bo$474bo$475b
o2bo18$195b2o$196b2o$195bo8$354b4o$354bo3bo$354bo$355bo2bo16$135b2o$136b
2o$135bo10$234b4o$234bo3bo$234bo$235bo2bo14$75b2o$76b2o$75bo12$114b4o
$114bo3bo$114bo$115bo2bo13$18bo$16b2ob2o$19bobo$21bo$16b2obob2o$21b3o
$18b5o$21b2o$20b3o$13b2o6b2o5b2o$13bo2bo3bobo5b2o$17b2ob3o$18b2o2bo$20b
2o3$19b2o$19b2o20b2o$41b2o4$76b2o$75b2o$19b2o56bo$19bobo19bo$18bo2bo17b
obo$19b2o19b2o$19bo8$20b2o$20b2o3$28b2o$28b2o4$9b2o$9bobo$10b2o$41b2o
$41b2o2$136b2o$135b2o$137bo14$20b2o$20b2o3$28b2o$28b2o4$9b2o$9bobo$10b
2o$41b2o$41b2o153b2o$195b2o$197bo16$20b2o$20b2o3$28b2o$28b2o4$9b2o$9b
obo$10b2o244b2o$41b2o212b2o$41b2o214bo5$101bo$99bobo$100b2o11$20b2o$20b
2o3$28b2o$28b2o4$9b2o305b2o$9bobo303b2o$10b2o305bo$41b2o$41b2o18$20b2o
$20b2o3$28b2o$28b2o2$376b2o$375b2o$9b2o366bo$9bobo$10b2o$41b2o$41b2o13$
44b2o$44bobo$44bo4$600b4o$600bo3bo$600bo$601bo2bo$436b2o$435b2o$437bo
2$9b2o$9bobo$10b2o$41b2o$41b2o$67b2o$67bobo$67bo93bo$159bobo$160b2o6$
104b2o$104bobo$104bo6$480b4o$480bo3bo$480bo15b2o$481bo2bo10b2o$497bo4$
9b2o$9bobo$10b2o$41b2o84b2o$41b2o84bobo$127bo8$164b2o$164bobo$164bo8$
360b4o192b2o$360bo3bo190b2o$360bo196bo$361bo2bo5$9b2o$9bobo175b2o$10b
2o175bobo$41b2o144bo$41b2o7$224b2o$224bobo$224bo8$616b2o$615b2o$240b4o
373bo$240bo3bo$240bo$241bo2bo4$247b2o$9b2o236bobo$9bobo235bo$10b2o$41b
2o$41b2o$221bo$219bobo$220b2o2$284b2o$284bobo$284bo12$120b4o$120bo3bo
$120bo$121bo2bo2$307b2o$307bobo$307bo$9b2o$9bobo$10b2o$41b2o$41b2o3$344b
2o$344bobo$344bo14$4o$o3bo$o$bo2bo362b2o$367bobo$367bo8$404b2o$404bob
o$404bo17$427b2o$427bobo$427bo8$281bo182b2o$279bobo182bobo$280b2o182b
o17$487b2o$487bobo$487bo8$524b2o$524bobo$524bo17$547b2o$547bobo$547bo
8$584b2o$584bobo$584bo17$607b2o$607bobo$607bo12$341bo$339bobo$340b2o!

[Gustone]

two more glider streams

Why not one?

Code: Select all

x = 820, y = 660, rule = B3/S23
442bo$442b2o$441bobo15$795bo2bo$794bo$794bo3bo$794b4o9$382bo$382b2o$
381bobo17$675bo2bo$674bo$674bo3bo$674b4o7$322bo$322b2o$321bobo19$555bo
2bo$554bo$554bo3bo$554b4o5$262bo$262b2o$261bobo21$435bo2bo$434bo$434bo
3bo$434b4o3$202bo$202b2o$201bobo23$315bo2bo$314bo$314bo3bo$314b4o$142b
o$142b2o$141bobo25$195bo2bo$194bo$82bo111bo3bo$82b2o110b4o$81bobo27$
22bo52bo2bo$22b2o50bo$21bobo50bo3bo$74b4o13$14bo$13bo$18bo$13bo$18bo$
12bo2bo$11bo2bo$11b2o39bo$51b2o$51bobo$19b2o$19b2o4$2o$obo$b2o$32b2o$
32b2o7$6b2o2b2o$6b6o$6b2o2b2o8$112bo$11b2o98b2o$11b2o98bobo3$19b2o26bo
$19b2o27bo$46b3o3$2o$obo16b2o32b2o$b2o15b2o32b2o$20bo11b2o20bo$32b2o
11$38b2o$37b2o$39bo2$172bo$171b2o$171bobo9$79b2o32b2o$2o76b2o32b2o$obo
77bo33bo$b2o$32b2o$32b2o9$98b2o$97b2o$99bo2$232bo$231b2o$231bobo9$139b
2o32b2o$138b2o32b2o$140bo33bo$2o$obo$b2o$32b2o$32b2o7$158b2o$157b2o$
159bo2$292bo$291b2o$291bobo5$801bo2bo$800bo$800bo3bo$800b4o$199b2o32b
2o$198b2o32b2o$200bo33bo3$2o$obo$b2o$32b2o$32b2o5$218b2o$217b2o$219bo
2$352bo$351b2o$351bobo7$681bo2bo$680bo$259b2o32b2o385bo3bo$258b2o32b2o
386b4o$260bo33bo5$2o$obo$b2o$32b2o$32b2o3$278b2o$277b2o$279bo2$412bo$
411b2o$411bobo9$319b2o32b2o206bo2bo$318b2o32b2o206bo$320bo33bo205bo3bo
$560b4o6$2o$obo$b2o$32b2o$32b2o$338b2o$337b2o$339bo2$472bo$471b2o$471b
obo9$379b2o32b2o$378b2o32b2o$380bo33bo26bo2bo$440bo$440bo3bo$440b4o6$
2o$obo$b2o$32b2o364b2o$32b2o363b2o$399bo2$532bo$531b2o$531bobo9$439b2o
32b2o$438b2o32b2o$440bo33bo2$321bo2bo$320bo$320bo3bo$320b4o6$2o$obo
455b2o$b2o454b2o$32b2o425bo$32b2o$592bo$591b2o$591bobo9$499b2o32b2o$
498b2o32b2o$500bo33bo4$201bo2bo$200bo$200bo3bo$200b4o5$518b2o$2o515b2o
$obo516bo$b2o$32b2o618bo$32b2o617b2o$651bobo9$559b2o32b2o$558b2o32b2o$
560bo33bo6$81bo2bo$80bo$80bo3bo$80b4o3$578b2o$577b2o$579bo$2o$obo709bo
$b2o708b2o$32b2o677bobo$32b2o8$619b2o32b2o$618b2o32b2o$620bo33bo12$
638b2o$637b2o$639bo2$772bo$771b2o$771bobo9$679b2o32b2o$678b2o32b2o$
680bo33bo12$698b2o$697b2o$699bo13$739b2o32b2o$738b2o32b2o$740bo33bo12$
758b2o$757b2o$759bo13$799b2o$798b2o$800bo12$818b2o$817b2o$819bo!

[dvgrn]

two more glider streams

Why not one?

One stream is great if you can do it. But that new pattern still looks like one glider stream for each troublesome block, just moved a little farther north. (?)

[Gustone]

one glider stream for each troublesome block

Oh i thought that you meant two glider streams more than those that collide with the blocks (Actually there are three in total, because the backward glider blocks both lanes)

[vilc]

This relative position between the LWSS streams will work, now, can anyone figure out how to remove these two blocks before the next LWSS crashes into them?

Here is a solution with only one supplementary glider stream but no adjustability :

Code: Select all

x = 1085, y = 656, rule = B3/S23
1075bo2bo$1074bo$1074bo3bo$1074b4o28$955bo2bo$954bo$954bo3bo$954b4o28$
835bo2bo$834bo$834bo3bo$834b4o28$715bo2bo$714bo$714bo3bo$714b4o28$595b
o2bo$594bo$594bo3bo$594b4o3$362bo$362b2o$361bobo23$475bo2bo$474bo$474b
o3bo$474b4o$302bo$302b2o$301bobo25$355bo2bo$354bo$242bo111bo3bo$242b2o
110b4o$241bobo27$182bo52bo2bo$182b2o50bo$181bobo50bo3bo$234b4o10$171b
2o$171b2o2$175b2o$174bo$170bobo2b2o$168b2obo$168b3obo3bo$172bo3b2o$
173b2ob2o$169b2o4bo36bo$169b2o40b2o$165b2o44bobo$164bobo6bo$163bobo5b
4o$164bo8b2o$170b2o2$171b2o$169b2o$169b2o2b2o$172b3o17b2o$169bo2b2o18b
2o$169bo7$174b2o$173bo2bo$172bo4bo$171b2o4bo$172bo5b2o$172bo5b2o$173bo
5bo$175bo2b2o$176bo2bo$177b2o93bo$271b2o$271bobo3$207bo$208bo$206b3o
15b2o$223b2o$225bo4$169b2o21b2o$169b2o21b2o15$332bo$331b2o$331bobo5$
284b2o$283b2o$285bo6$169b2o21b2o$169b2o21b2o13$392bo$391b2o$391bobo3$
1081bo2bo$1080bo$344b2o734bo3bo$343b2o735b4o$345bo8$169b2o21b2o$169b2o
21b2o11$452bo$451b2o$451bobo5$404b2o555bo2bo$403b2o555bo$267bo137bo
554bo3bo$268bo691b4o$266b3o8$169b2o21b2o$169b2o21b2o9$512bo$511b2o$
511bobo5$464b2o$463b2o$465bo375bo2bo$840bo$840bo3bo$840b4o9$169b2o21b
2o$169b2o21b2o7$572bo$571b2o$571bobo5$524b2o$523b2o$525bo2$721bo2bo$
720bo$720bo3bo$720b4o9$169b2o21b2o$169b2o21b2o5$632bo$631b2o$631bobo5$
584b2o$583b2o$585bo4$327bo273bo2bo$328bo271bo$326b3o271bo3bo$600b4o9$
169b2o21b2o$169b2o21b2o3$692bo$691b2o$691bobo5$644b2o$643b2o$645bo6$
481bo2bo$480bo$480bo3bo$480b4o9$169b2o21b2o$169b2o21b2o$752bo$751b2o$
751bobo5$704b2o$703b2o$705bo8$361bo2bo$360bo$360bo3bo$360b4o9$169b2o
21b2o618bo$169b2o21b2o617b2o$811bobo5$764b2o$763b2o$765bo8$387bo$388bo
$241bo2bo141b3o$240bo$240bo3bo$240b4o7$872bo$871b2o$169b2o21b2o677bobo
$169b2o21b2o4$824b2o$823b2o$825bo12$121bo2bo$120bo$120bo3bo$120b4o9$
169b2o21b2o$169b2o21b2o2$884b2o$883b2o$885bo14$bo2bo$o$o3bo$4o9$169b2o
21b2o$169b2o21b2o30$169b2o21b2o$169b2o21b2o!

I hope this is not too tight.

Does the above maybe make it a little clearer why I was suggesting doing an enumeration based on the input gliders that can actually be produced most cheaply by the rephaser/rake system.
[...]

Yes, I understand everything much better now, thanks to the above posts and the book chapter. My naive search assumed that the number of steps was an accurate measure for cost and that a three steps solution would be too expensive, but it was all wrong. I will try to code this better search order, but it might take a while.

[Gustone]

I hope this is not too tight.

It kind of is, but not in the way you'd expect - it doesn't work for the other side.

Code: Select all

x = 1409, y = 814, rule = B3/S23
o2bo$4bo$o3bo$b4o28$120bo2bo$124bo$120bo3bo$121b4o28$240bo2bo$244bo$
240bo3bo$241b4o20$851bo$850b2o$850bobo6$360bo2bo$364bo$360bo3bo$361b4o
18$911bo$910b2o$910bobo8$480bo2bo$484bo$480bo3bo$481b4o16$971bo$970b2o
$970bobo10$600bo2bo$604bo$600bo3bo$601b4o14$1031bo$1030b2o$1030bobo12$
720bo2bo$724bo$720bo3bo$721b4o12$1091bo$1090b2o$1090bobo14$840bo2bo$
844bo$840bo3bo$841b4o10$1151bo$1150b2o$1150bobo16$960bo2bo$964bo$960bo
3bo$961b4o8$1211bo$1210b2o$1210bobo18$1080bo2bo$1084bo$1080bo3bo$1081b
4o6$1271bo$1270b2o$1270bobo20$1200bo2bo$1204bo$1200bo3bo$1201b4o4$
1331bo$1330b2o$1330bobo13$14bo2bo$18bo$14bo3bo$15b4o6$1320bo2bo$1324bo
$1320bo3bo$1321b4o2$1391bo$1390b2o$1390bobo6$1398bo$1397bobo$1400bo$
1395b2o3bo$1396bo3b2o$1395bo2bo$1397b2o$1398b2o5bo$1395b3ob2o4bo$134bo
2bo1256bobob2o$138bo1254b2o3b2o$134bo3bo1255bo2b2o4bo$135b4o1256b3o4bo
bo$1388b2o6bo10bo$1388b2o9bo2b2o3bo$1351bo46bob2o2bo$1351b2o44bo7b3o$
1350bobo45bobo3bo$1402bob2obo$1403bo4bo$1396bo6bo3bo$1375b2o19bo7b3o$
1375b2o28bo3$1399b5o$1399b2o3bo$1401b3o$1402bo2$1401bo$1401bo$1401bo7$
1366bo$254bo2bo1107bo30b2o$258bo1106b3o28b2o$254bo3bo$255b4o$1291bo96b
2o$1291b2o95b2o$1290bobo3$1407b2o$1406bobo$1338b2o66b2o$1339b2o34b2o$
1338bo36b2o18$374bo2bo1018b2o$378bo1017b2o$374bo3bo852bo$375b4o852b2o$
1230bobo155b2o$1388b2o4$1278b2o127b2o$1279b2o125bobo$1278bo127b2o$
1375b2o$1375b2o18$494bo2bo673bo224b2o$498bo672b2o223b2o$494bo3bo671bob
o$495b4o$1388b2o$1388b2o2$1218b2o$1219b2o$1218bo188b2o$1406bobo$1406b
2o$1375b2o$1375b2o15$1306bo$1111bo193bo$1111b2o192b3o$614bo2bo492bobo
283b2o$618bo777b2o$614bo3bo$615b4o$1388b2o$1158b2o228b2o$1159b2o$1158b
o2$1407b2o$1406bobo$1406b2o$1375b2o$1375b2o14$1051bo$1051b2o$1050bobo
2$734bo2bo658b2o$738bo657b2o$734bo3bo$735b4o359b2o$1099b2o287b2o$1098b
o289b2o4$1407b2o$1406bobo$1406b2o$1375b2o$1375b2o12$991bo$991b2o$990bo
bo4$854bo2bo538b2o$858bo179b2o356b2o$854bo3bo180b2o$855b4o179bo$1388b
2o$1388b2o4$1407b2o$1406bobo$1406b2o$1375b2o$1375b2o10$931bo$931b2o$
930bobo$1246bo$1245bo$1245b3o2$978b2o$974bo2bob2o415b2o$978bo417b2o$
974bo3bo$975b4o$1388b2o$1388b2o4$1407b2o$1406bobo$1406b2o$1375b2o$
1375b2o8$871bo$871b2o$870bobo5$918b2o$919b2o$918bo$1094bo2bo298b2o$
1098bo297b2o$1094bo3bo$1095b4o$1388b2o$1388b2o4$1407b2o$1406bobo$1406b
2o$1375b2o$1375b2o6$811bo$811b2o$810bobo5$858b2o$859b2o$858bo3$1214bo
2bo178b2o$1218bo177b2o$1214bo3bo$1215b4o$1388b2o$1388b2o4$1407b2o$
1406bobo$1406b2o$1375b2o$1375b2o4$751bo$751b2o$750bobo5$798b2o$799b2o$
798bo5$1334bo2bo58b2o$1338bo57b2o$1334bo3bo$1335b4o$1388b2o$1388b2o4$
1407b2o$1406bobo$1406b2o$1375b2o$1375b2o2$691bo$691b2o$690bobo5$738b2o
$739b2o$738bo20$631bo$631b2o$630bobo5$678b2o$679b2o$678bo20$571bo$571b
2o$570bobo5$618b2o$619b2o$618bo20$511bo$511b2o$510bobo5$558b2o$559b2o$
558bo27$498b2o$499b2o$498bo!

[vilc]

I hope this is not too tight.

It kind of is, but not in the way you'd expect - it doesn't work for the other side.

How about this ? It cleans up everything with two gliders and works for both sides :

Code: Select all

x = 1556, y = 462, rule = B3/S23
1120bo2bo$1124bo$475bo2bo641bo3bo$474bo646b4o$474bo3bo$474b4o26$1240bo
2bo$1244bo$355bo2bo881bo3bo$354bo886b4o$354bo3bo$354b4o26$1360bo2bo$
1364bo$235bo2bo1121bo3bo111bo$234bo1126b4o110b2o$122bo111bo3bo1236bobo
$122b2o110b4o$121bobo25$1480bo2bo52bo$1484bo50b2o$62bo52bo2bo1361bo3bo
50bobo$62b2o50bo1366b4o$61bobo50bo3bo$114b4o8$1546b2o$1546b2o$51b2o$
51b2o1489b2o$1544bo$55b2o1485b2o2bobo$54bo1492bob2o$50bobo2b2o1485bo3b
ob3o$48b2obo1489b2o3bo$48b3obo3bo1484b2ob2o$52bo3b2o1448bo36bo4b2o$53b
2ob2o1448b2o40b2o$49b2o4bo36bo1412bobo44b2o$49b2o40b2o1452bo6bobo$45b
2o44bobo1450b4o5bobo$44bobo6bo1490b2o8bo$43bobo5b4o$44bo8b2o4$1548bobo
$1547b2obo$48bobo1497bo$48bob2o$50bo5$1489b2o$1490b2o$108b2o1379bo$
107b2o$109bo5$1446bo$1446b2o$152bo1292bobo$151b2o$151bobo3$1496b3o$
1498bo$100b3o1394bo$100bo$101bo9$1429b2o$1430b2o$168b2o1259bo$167b2o$
169bo5$1386bo$1386b2o$212bo1172bobo$211b2o$211bobo3$1436b3o$1438bo$
160b3o1274bo$160bo$161bo9$1369b2o$1370b2o$228b2o1139bo$227b2o$229bo5$
1326bo$1326b2o$272bo1052bobo$271b2o$271bobo3$1376b3o$1378bo$220b3o
1154bo$220bo$221bo9$1309b2o$1310b2o$288b2o1019bo$287b2o$289bo5$1266bo$
1266b2o$332bo932bobo$331b2o$331bobo3$1316b3o$1318bo$280b3o1034bo$280bo
$281bo9$1249b2o$1250b2o$348b2o899bo$347b2o$349bo5$1206bo$1206b2o$392bo
812bobo$391b2o$391bobo3$1256b3o$1258bo$340b3o551bo2bo359bo$340bo557bo$
341bo379bo2bo169bo3bo$720bo174b4o$720bo3bo$720b4o6$1189b2o$1190b2o$
408b2o779bo$407b2o$409bo5$1146bo$1146b2o$452bo692bobo$451b2o$451bobo3$
1196b3o$1198bo$400b3o794bo$400bo$401bo612bo2bo$1018bo$601bo2bo409bo3bo
$600bo414b4o$600bo3bo$600b4o4$1129b2o$1130b2o$468b2o659bo$467b2o$469bo
5$1086bo$1086b2o$512bo572bobo$511b2o$511bobo3$1136b3o$1138bo$460b3o
674bo$460bo$461bo2$1134bo2bo$1138bo$481bo2bo649bo3bo$480bo654b4o$480bo
3bo$480b4o2$1069b2o$1070b2o$528b2o539bo$527b2o$529bo5$1026bo$1026b2o$
572bo452bobo$571b2o$571bobo3$1076b3o$1078bo$520b3o554bo$520bo$521bo4$
1254bo2bo$1258bo$361bo2bo889bo3bo$360bo894b4o$360bo3bo$360b4o645b2o$
1010b2o$588b2o419bo$587b2o$589bo5$966bo$966b2o$632bo332bobo$631b2o$
631bobo3$1016b3o$1018bo$580b3o434bo$580bo$581bo6$1374bo2bo$1378bo$241b
o2bo1129bo3bo$240bo708b2o424b4o$240bo3bo705b2o$240b4o404b2o299bo$647b
2o$649bo5$906bo$906b2o$692bo212bobo$691b2o$691bobo3$956b3o$958bo$640b
3o314bo$640bo$641bo8$1494bo2bo$889b2o607bo$121bo2bo765b2o602bo3bo$120b
o587b2o179bo605b4o$120bo3bo582b2o$120b4o585bo12$896b3o$898bo$700b3o
194bo$700bo$701bo12$bo2bo$o$o3bo$4o!

Is the G+LWSS-to-B collision important here or is it worth looking for a cleaner replacement ?

[Gustone]

How about this ? It cleans up everything with two gliders and works for both sides :

Code: Select all

x = 1556, y = 462, rule = B3/S23

Is the G+LWSS-to-B collision important here or is it worth looking for a cleaner replacement ?

Great, and i have already exhaustively searched EVERY possible collision of a glider and a WSS moving in these directions. The only one that is cleaner is this:

Code: Select all

x = 6, y = 9, rule = B3/S23
5o$o4bo$o$bo3bo$3bo2$b2o$bobo$bo!

But it doesn't work at 31c/240.
EDIT: Unless... multiple gliders per WSS?

[vilc]

EDIT: Unless... multiple gliders per WSS?

I came to the same conclusion. Here is a working example using a 2G+LWSS-to-G with quite well-separeted gliders :

Code: Select all

x = 1433, y = 477, rule = B3/S23
937bo2bo$941bo$937bo3bo$938b4o28$1057bo2bo$1061bo$1057bo3bo$1058b4o7$
372bo2bo$371bo$371bo3bo$371b4o18$1177bo2bo$1181bo$1177bo3bo$1178b4o7$
252bo2bo$251bo$251bo3bo$251b4o18$1297bo2bo$1301bo$1297bo3bo$1298b4o7$
132bo2bo$131bo$131bo3bo$131b4o18$1417bo2bo$1421bo$1417bo3bo$1418b4o5$
1430b3o$1432bo$12bo2bo1415bo$11bo$11bo3bo$11b4o5$3o$o$bo$1418b3o$1420b
o$1419bo8$12b3o$12bo$13bo4$1370b3o$1372bo$1371bo8$60b3o$60bo$61bo$
1358b3o$1360bo$1359bo8$72b3o$72bo$73bo4$1310b3o$1312bo$1311bo8$120b3o$
120bo$121bo$1298b3o$1300bo$1299bo8$132b3o$132bo$133bo4$1250b3o$1252bo$
1251bo8$180b3o$180bo$181bo$1238b3o$1240bo$1239bo8$192b3o$192bo$193bo4$
1190b3o$1192bo$1191bo8$240b3o$240bo$241bo$1178b3o$1180bo$1179bo8$252b
3o$252bo$253bo4$1130b3o$1132bo$1131bo8$300b3o$300bo$301bo$1118b3o$
1120bo$1119bo8$312b3o$312bo518bo2bo$313bo521bo$831bo3bo$832b4o2$1070b
3o$1072bo$1071bo3$618bo2bo$617bo$617bo3bo$617b4o2$360b3o$360bo$361bo$
1058b3o$1060bo$1059bo8$372b3o$372bo$373bo$951bo2bo$955bo$951bo3bo$952b
4o54b3o$1012bo$1011bo5$498bo2bo$497bo$497bo3bo$420b3o74b4o$420bo$421bo
$998b3o$1000bo$999bo8$432b3o$432bo$433bo3$1071bo2bo$950b3o122bo$952bo
118bo3bo$951bo120b4o7$378bo2bo$377bo102b3o$377bo3bo98bo$377b4o100bo$
938b3o$940bo$939bo8$492b3o$492bo$493bo4$890b3o$892bo298bo2bo$891bo303b
o$1191bo3bo$1192b4o6$540b3o$258bo2bo278bo$257bo283bo$257bo3bo616b3o$
257b4o619bo$879bo8$552b3o$552bo$553bo4$830b3o$832bo$831bo8$600b3o$600b
o$601bo$818b3o$820bo$819bo8$612b3o$612bo$613bo4$770b3o$772bo$771bo8$
660b3o$660bo$661bo$758b3o$760bo$759bo8$672b3o$672bo$673bo!

Other possibilities, which were filtered (with some failures though) to make sure that the output glider did not collide with the upper LWSS stream :

Code: Select all

x = 412, y = 424, rule = B3/S23
14bo2bo94bo2bo99bo2bo89bo2bo96bo2bo$13bo97bo102bo92bo99bo$13bo3bo93bo
3bo98bo3bo88bo3bo95bo3bo$13b4o94b4o99b4o89b4o96b4o5$b2o97b3o104b2o91b
2o98b2o$2o98bo106bobo90bobo97bobo$2bo98bo105bo92bo99bo$216bo191b2o$
215b2o92b2o97bobo$215bobo90b2o98bo$10bo299bo$9b2o$9bobo4$115b3o$115bo$
116bo78$12bo2bo96bo2bo101bo2bo87bo2bo96bo2bo$11bo99bo104bo90bo99bo$11b
o3bo95bo3bo100bo3bo86bo3bo95bo3bo$11b4o96b4o101b4o87b4o96b4o5$b2o97b3o
101bo95b2o98b2o$2o98bo102b2o95bobo97bobo$2bo98bo101bobo94bo99bo2$308b
3o98b2o$109bo198bo100bobo$108b2o199bo99bo$108bobo89b2o$200bobo$200bo2$
6bo$5b2o$5bobo79$bo2bo107bo2bo96bo2bo92bo2bo96bo2bo$o110bo99bo95bo99bo
$o3bo106bo3bo95bo3bo91bo3bo95bo3bo$4o107b4o96b4o92b4o96b4o5$b2o3b2o92b
3o98bo98b2o101b2o$2o4bobo91bo99b2o98bobo100bobo$2bo3bo94bo98bobo97bo
102bo2$406b2o$309b3o94bobo$309bo96bo$310bo4$217bo$114bo101b2o$113b2o
101bobo$113bobo78$12bo2bo93bo2bo100bo2bo91bo2bo$11bo96bo103bo94bo$11bo
3bo92bo3bo99bo3bo90bo3bo$11b4o93b4o100b4o91b4o5$3o97b3o97b2o98b2o$o99b
o99bobo97bobo$bo99bo98bo99bo2$106b2o$105b2o$107bo$204b2o$204bobo$204bo
4$13b2o$12b2o$14bo8$327b3o$327bo$328bo67$12bo2bo89bo2bo99bo2bo$11bo92b
o102bo$11bo3bo88bo3bo98bo3bo$11b4o89b4o99b4o5$3o97b3o97b2o$o99bo99bobo
$bo99bo8bo89bo$109b2o97b2o$109bobo95b2o$209bo8$12b3o$12bo$13bo!

Some of these involve a one-time-turner made of a loaf and a block, which makes them slightly adjustable (most timings don't work). There is also a collision that produces a boat in the correct orientation, but the output glider is not edgy enough for this particular application.

Code: Select all

x = 117, y = 46, rule = B3/S23
8bo2bo86bo2bo$7bo89bo$7bo3bo85bo3bo$7b4o86b4o5$2o82bo$obo80b2o$o82bobo
19$26b2o$25b2o$27bo12$115b2o$114b2o$116bo!

[Gustone]

In the meantime, here's a cleanup.

[dvgrn]

In the meantime, here's a cleanup.

Awesome is right! People usually start with big over-complicated mechanisms that gradually get cleaned up, but you seem to have skipped right to the small and elegant solution here.

It's certainly small enough that it doesn't need to be an attachment -- it's easier to admire as RLE:

Code: Select all

x = 1161, y = 2136, rule = B3/S23
300b2o248b2o52b2o248b2o$300b2o248b2o52b2o248b2o15$388b2o376b2o$388b2o
376b2o14$300b2o248b2o52b2o248b2o$300b2o248b2o52b2o248b2o15$388b2o376b
2o$388b2o376b2o14$300b2o248b2o52b2o248b2o$300b2o248b2o52b2o248b2o15$
388b2o376b2o$388b2o376b2o14$300b2o248b2o52b2o248b2o$300b2o248b2o52b2o
248b2o15$388b2o376b2o$388b2o376b2o14$300b2o248b2o52b2o248b2o$300b2o
248b2o52b2o248b2o15$388b2o376b2o$388b2o376b2o14$300b2o248b2o52b2o248b
2o$300b2o248b2o52b2o248b2o15$388b2o376b2o$388b2o376b2o14$300b2o248b2o
52b2o248b2o$300b2o248b2o52b2o248b2o15$388b2o376b2o$388b2o376b2o14$300b
2o248b2o52b2o248b2o$300b2o248b2o52b2o248b2o15$388b2o376b2o$388b2o376b
2o14$300b2o248b2o52b2o248b2o$300b2o248b2o52b2o248b2o15$388b2o376b2o$
388b2o376b2o14$300b2o248b2o52b2o248b2o$300b2o248b2o52b2o248b2o15$388b
2o376b2o$388b2o376b2o14$300b2o248b2o52b2o248b2o$300b2o248b2o52b2o248b
2o15$388b2o376b2o$388b2o376b2o14$300b2o248b2o52b2o248b2o$300b2o248b2o
52b2o248b2o15$388b2o376b2o$388b2o376b2o14$300b2o248b2o52b2o248b2o$300b
2o248b2o52b2o248b2o15$388b2o376b2o$388b2o376b2o14$300b2o248b2o52b2o
248b2o$300b2o248b2o52b2o248b2o15$388b2o376b2o$388b2o376b2o14$300b2o
248b2o52b2o248b2o$300b2o248b2o52b2o248b2o15$388b2o376b2o$388b2o376b2o
14$300b2o248b2o52b2o248b2o$300b2o248b2o52b2o248b2o15$388b2o376b2o$388b
2o376b2o14$300b2o248b2o52b2o248b2o$300b2o248b2o52b2o248b2o15$388b2o
376b2o$388b2o376b2o14$300b2o248b2o52b2o248b2o$300b2o248b2o52b2o248b2o
15$388b2o376b2o$388b2o376b2o14$300b2o248b2o52b2o248b2o$300b2o248b2o52b
2o248b2o15$388b2o376b2o$388b2o376b2o14$300b2o248b2o52b2o248b2o$300b2o
248b2o52b2o248b2o15$388b2o376b2o$388b2o376b2o14$300b2o248b2o52b2o248b
2o$300b2o248b2o52b2o248b2o15$388b2o376b2o$388b2o376b2o2$858b2o$857bobo
$857bo$857bobo$293bo566bo$292b3o563bobo$292b3o565bo$861bo$292b4o$291b
5o$291b2obo2$550b2o52b2o$550b2o52b2o2$302b2o$292b2o8b2o558b2o$292b2o
568b2o5$303bo$301b2o$301b2ob2o$302bob2o$302bo2bo$303b2o$388b2o376b2o$
388b2o376b2o5$300b2o552b2o$300b2o552b2o8$550b2o52b2o$550b2o52b2o3$292b
2o568b2o$292b2o568b2o10$768bo$388b2o379bo$388b2o376bo2b2obo$765b4o2bob
o$771bo2bo$390bo373b2o2b3o$353bo35bobo373b2o4bob2o$300b2o52b2o32bo4b2o
371bo4bob2o79b2o$300b2o51b2o28bo5bobobobo370b2obob2o81b2o$383b2o8bob2o
$376bo2bo2bobo10b3o385bobo$370b3o3bo3bo14b3o384b2obo11bo$376bo2b2o14bo
2bo359b2o16bo6b2o10b2o$383b3o8b3ob2o353bo2b2o3bo15bo18b2o$370bo3bo8b3o
8b3ob2o352bobob2obo2bo14bo$371bo2bo2bo4bobo10bo2bo353bo4bo4bo$373bo3bo
4b2o166b2o52b2o147b3o9b2o$394b3o8bo144b2o52b2o149b3o4b6o$406b2o349b2o
5bob2o$405b2o354b2o$292b2o467b3o98b2o$292b2o568b2o$745bo$388b2o353b2o
21b2o$388b2o354b2o20b2o7$240bo$240bobo$240b2o3$380b2o392b2o144bo$380b
2o392b2o142bobo$300b2o552b2o63b2o$300b2o552b2o3$364bo$364bobo$364b2o3$
550b2o52b2o190bo$550b2o52b2o188bobo$795b2o2$292b2o568b2o$292b2o568b2o
2$388b2o376b2o$388b2o376b2o14$300b2o552b2o$300b2o552b2o8$550b2o52b2o$
550b2o52b2o3$292b2o568b2o$292b2o568b2o2$388b2o376b2o$388b2o376b2o14$
300b2o552b2o$300b2o552b2o7$465bo$466b2o82b2o52b2o$465b2o83b2o52b2o3$
292b2o391bo176b2o$292b2o389b2o177b2o$684b2o$388b2o376b2o$388b2o376b2o
5$180bo$180bobo$180b2o3$980bo$978bobo$979b2o2$300b2o552b2o$300b2o552b
2o$304bo$304bobo$304b2o3$856bo$854bobo$550b2o52b2o249b2o$550b2o52b2o3$
292b2o568b2o$292b2o568b2o2$388b2o376b2o$388b2o376b2o14$300b2o552b2o$
300b2o552b2o5$606b3o$603bo2bobo$550b2o50b2obo$552bo48b2o4bobo$552bo48b
2o2b3ob2o$600b2o2bo3b3o$548b2ob2o47b2obob2o2bo$547b2ob2o50bo5bo$547bo
2bo3bo49b2o$547bob3o2b2o40bo8b3o$388b2o156b2o4bo2b2o39bo8b3o158b2o$
388b2o157b3obob3o40bo169b2o$548b2ob4o$550b2o4$546b2o60b2o$546b2o60b2o
7$300b2o248b2o52b2o248b2o$300b2o248b2o52b2o248b2o12$558b2o36b2o$558b2o
36b2o2$388b2o376b2o$388b2o376b2o3$120bo$120bobo$120b2o3$1040bo$1038bob
o$1039b2o$583bo$584b2o$583b2o$300b2o248b2o52b2o248b2o$300b2o248b2o52b
2o248b2o$567bo$565b2o$566b2o9$558b2o36b2o$558b2o36b2o2$388b2o376b2o$
388b2o376b2o14$300b2o248b2o52b2o248b2o$300b2o248b2o52b2o248b2o15$388b
2o376b2o$388b2o376b2o14$300b2o248b2o52b2o248b2o$300b2o248b2o52b2o248b
2o15$388b2o376b2o$388b2o376b2o$60bo$60bobo$60b2o3$1100bo$1098bobo$
1099b2o6$300b2o248b2o52b2o248b2o$300b2o248b2o52b2o248b2o15$388b2o376b
2o$388b2o376b2o14$300b2o248b2o52b2o248b2o$300b2o248b2o52b2o248b2o15$
388b2o376b2o$388b2o376b2o14$300b2o248b2o52b2o248b2o$300b2o248b2o52b2o
248b2o15$o387b2o376b2o$obo385b2o376b2o$2o3$1160bo$1158bobo$1159b2o8$
300b2o248b2o52b2o248b2o$300b2o248b2o52b2o248b2o15$388b2o376b2o$388b2o
376b2o13$1155bo$300b2o248b2o52b2o248b2o299b2o$300b2o248b2o52b2o248b2o
298bobo3$5bo$4b2o$4bobo10$388b2o376b2o$388b2o376b2o11$1095bo$1095b2o$
1094bobo$300b2o248b2o52b2o248b2o$300b2o248b2o52b2o248b2o$65bo$64b2o$
64bobo9$11bobo$12b2o$12bo754bo$768bo$385b5o$383bo5b2o376b2o368bobo$
382b2o3bob2o372b3ob2o368b2o$387bob2o372bo4bo369bo$382bobobo3bo371b2o6b
2o$381b2ob2obobo373bob3ob2obo$375bo5b2o5bo373bo5bo3bo$371b2o10bo378bo
2bobo4bo$370bo6bo385bo7bo$370bob2o4b2o385b3obo265bo$371bo4bob2o16b2o
637b2o$377b2o18bo636bobo$395b2obo3b2o$393b2o3bobobo359b2o$125bo174b2o
87bo2bo5bobo149b2o52b2o156b2o90b2o$124b2o174b2o86bo3b2ob3obo150b2o52b
2o248b2o$124bobo262bobo3bo$390b4o$391b3o2$409bobo$388b2o20b2o354b2o$
388b2o20bo355b2o3$739bobo$739b2o$740bo7$380b2o392b2o$380b2o392b2o3$
975bo$975b2o$974bobo3$185bo$184b2o174bo$184bobo113b2o57bo190b2o52b2o
248b2o$300b2o57b3o188b2o52b2o248b2o3$800bo$801bo$799b3o$388b2o376b2o$
388b2o376b2o12$380b2o392b2o$380b2o392b2o$915bo$915b2o$914bobo3$245bo$
244b2o$244bobo2$300b2o248b2o52b2o248b2o$300b2o248b2o52b2o248b2o6$388b
2o376b2o$388b2o376b2o3$71bobo$72b2o$72bo3$1077bobo$1077b2o$1078bo2$
380b2o392b2o79bo$380b2o392b2o79b2o$854bobo3$305bo$304b2o$304bobo3$298b
o$299bo250b2o52b2o$295bo6bo247b2o52b2o246b5o$294bo3b3o2bo547b2obobo$
293bo9bo546bo3bo$293bo4b4ob2o164bobo377b3ob2o$292bo5b4obo166b2o378b2ob
2o5b2o$293bo5bo2bo167bo381bo2bo3b3o$294b4o90b2o376b2o84b4o3bo2bo$295b
2o91b2o376b2o83bob2obo2b3o$284b2o393bobo169b3o2bo3b2o$286bo392b2o170b
3obo$283b3o22b4o368bo$284bo21b8o$306b5ob4o$305b2o2b2obo2bo534b2o$312b
3o535b2o$304b2o6bo$305bo3b3o$306b2o487bo$306bo488b2o$305bo74b2o392b2o
18bobo$380b2o392b2o$300b2o20bobo529b2o$300b2o21b2o40bo488b2o$323bo40b
2o$364bobo2$826bobo$300bo525b2o$299bo527bo$299b3o$550b2o52b2o$550b2o
52b2o3$292b2o567bo$292b2o2$388b2o376b2o$388b2o376b2o7$271bo$270bo464bo
$270b3o462b2o$734bobo2$380b2o392b2o113bo$380b2o43bo348b2o114bo$300b2o
122b2o428b2o32b3o$300b2o122bobo427b2o8$550b2o52b2o$550b2o52b2o6$388b2o
376b2o$388b2o376b2o$131bobo$132b2o$132bo3$675bo341bobo$675b2o340b2o$
674bobo341bo3$485bo$380b2o102b2o288b2o$380b2o102bobo287b2o$300b2o552b
2o$300b2o552b2o8$550b2o52b2o$550b2o52b2o$529bobo$530b2o$530bo3$388b2o
229bobo144b2o$388b2o212b3o14b2o145b2o$549b3o49bo3b2o4b2o7bo$547b2ob2o
8bo39bo5bo3bobo$546bo6bo5b4o28b2o7bo4bo4b3o2bobo$546bo5b2o2bob4obo27bo
bo9bo7bo5bo$546b2o7bo7b2o26bob2o8bo9bo3bo$553bobo3bob3o24b6o8bo10bo2bo
$379b3o166bo4bo2bobo2b2o24bo4bo21bo$378bo2bo168b2o35bo2bo9b2o$377bo5bo
204b2o11bo$376bo4bobo$376bobo2b3o$377bo2$300b2o248b2o52b2o248b2o$300b
2o248b2o52b2o248b2o3$773b2o$773b3o$772bo2bo$771b2ob2o$771b2ob2o$563bob
o206b2ob2o$564b2o209bo$564bo207b3o$380b3o390bo$379bo2bo175b2o36b2o$
383bo174b2o25bobo8b2o$379b2o204b2o$379b2o3bo201bo$384bo$382bo$380b3o7b
2o372b2o$380b2o8b2o372b2o8b2o$380bo393b2o$211bo551bo$210bo551bobo$210b
3o552bo$760bo3bo$392bo366bo4bo$390bobo365bo190bo$391b2o557bo$392bo370b
o184b3o$392b2o366bo$300b2o90b2o156b2o52b2o248b2o$300b2o248b2o52b2o248b
2o6$388b2o376b2o$388b2o376b2o5$558b2o36b2o$558b2o36b2o2$191bobo$192b2o
$192bo2$380b2o392b2o$380b2o392b2o181bobo$957b2o$958bo$944b2o$945b2o$
944bo3$215b2o$214b2o$216bo83b2o248b2o52b2o248b2o$300b2o248b2o52b2o248b
2o3$439bo$440b2o$439b2o$388b2o376b2o$388b2o376b2o$711bo$709b2o$710b2o
9$380b2o392b2o$380b2o392b2o$884b2o$885b2o$884bo3$275b2o$274b2o$276bo
53bo$330bobo$300b2o28b2o218b2o52b2o248b2o$300b2o248b2o52b2o248b2o2$
830bo$828bobo$829b2o2$388b2o376b2o$388b2o376b2o11$235bo$236b2o142b2o
392b2o48b2o33b2o2bo$235b2o143b2o392b2o49b2o31b2o$824bo34b2o2$859b2o2b
2o50bo$292b3o40b2o521bo54b2o$292bobo39b2o525b4o49b2o$292bo2bo40bo522bo
2bo$293b3o$293b3o$291bo2bo$294bo255b2o52b2o$291bo258b2o52b2o2$293bo8b
2o$292bo9b2o546b3o9b2o$292b2o568b2o$850b3o$388b2o376b2o83b2o$388b2o
376b2o2$304bo$303bobo$302b2obo$302bo$251bobo49bobo$252b2o50bo$252bo2$
764b2o$765b2o130bobo$380b2o382bo9b2o121b2o$380b2o392b2o122bo$300b2o
552b2o$300b2o93b2o457b2o$394b2o$396bo6$550b2o52b2o$550b2o52b2o$499bo$
500b2o$499b2o3$388b2o261bo114b2o$388b2o259b2o115b2o$650b2o7$704b2o$
705b2o$704bo2$352bo27b2o392b2o$353b2o25b2o73b2o317b2o77b2o$299b3o50b2o
100b2o396b2obo$294b2o3bo2b2o152bo396bobo$293bo3bob2o549bo5bo$294bob4ob
o2bo493bo50bo3bob2o$294bo4b3ob2o491b2o51bobob2o$295bobobobob2o492b2o$
295bo3bobobo559bo$297b2o3bo560bo$284bo578bo$284bo265b2o52b2o$283b3o
264b2o52b2o3$283b3o$284bo19b2o544b2o$284bo19bo2b2obo539b2o$305bob3obo
76b2o376b2o$308bo79b2o376b2o$305bo6bo$305bo2bobo$308bo$307b2o$300b2o
552b2o$300b2o23bo318b2o208b2o$326bo318b2o$324b3o317bo3$515b2o308bo$
380b2o132b2o258b2o48bo$380b2o134bo257b2o48b3o5$292b2o568b2o$292b2o568b
2o5$599b2o$598b2o$599bobo4b2o$553bo46b2o4b2o$551b2ob2o44bo$389bo161b2o
b2o39bo2b2o$389b2o156b3ob2obobo39bob2obo$388bobo163bob2o37bob2o3bo$
388bobobo160b2o2bo39b2o2bo$388b2ob2obo159b3o$395bo199bo3bo171b2o$393b
2o201b3o165bo5bo2bo$300b2o78bo390b3obo78b2o$300b2o78bo165b2o60b2o153bo
bo5bo3bo78b2o$380bo165b2o60b2o154bo10bo6$392b2o368b2o$392b2o156b2o52b
2o156b2o$550b2o52b2o3$292b2o568b2o$292b2o568b2o2$388b2o376b2o$388b2o
376b2o5$418bo139b2o36b2o$416bobo139b2o36b2o$417b2o3$732bo$732bobo$380b
2o350b2o40b2o$380b2o392b2o$300b2o552b2o$300b2o552b2o8$550b2o52b2o$550b
2o52b2o3$292b2o568b2o$292b2o568b2o2$352bobo33b2o203bo172b2o$352b2o34b
2o204b2o170b2o$353bo204b3o32b2o$557bo3bo$557b2o3bo$379b2o176bo4bo243bo
bo$378bo2bo176bo3bo33b2o209b2o$596b2o209bo$378bobo178b2o7$300b2o552b2o
$300b2o294b3o255b2o$597bo$597b3o6$558bo$557b3o$557bob2o$548b2o56b2o$
292b2o254b2o46b2o8b2o254b2o$292b2o302b2o264b2o2$388b2o376b2o$388b2o
159bobo214b2o$549b2o$550bo57bo$607bobo$606bo3bo$606bo3bo$546b2o58bo$
546b2o59b3o7$300b2o248b2o52b2o248b2o$300b2o248b2o52b2o248b2o12$292b2o
264b2o36b2o264b2o$292b2o264b2o36b2o264b2o2$388b2o376b2o$388b2o376b2o3$
478bo$476bobo$477b2o3$672bo$501bo170bobo$501bobo168b2o$501b2o3$300b2o
248b2o52b2o53bo194b2o$300b2o248b2o52b2o51bobo194b2o$658b2o6$604bo$601b
o3bo$604b2o$594b3o3bo2bo2b3o$593b2o3bo4b3o2bo$592b2o2bobo2bo6bo$553b3o
37bo5bo2b2o2b2o$553bo2bo37b2o2bo5b2o$388b2o161b2o2b2o41bo167b2o$388b2o
160bo5bo209b2o$553b3o$550b2o$550bo2b3o$551bo2bo$551b2o51b2o$604b2o2$
558bo$559b2o$558b2o3$592bo$300b2o288b2o262b2o$300b2o289b2o261b2o3$558b
2o36b2o$558b2o36b2o11$388b2o376b2o$388b2o376b2o5$550b2o52b2o$550b2o52b
2o8$300b2o552b2o$300b2o552b2o3$558b2o36b2o$558b2o36b2o11$388b2o376b2o$
388b2o376b2o$538bo$536bobo$537b2o2$550b2o52b2o$550b2o52b2o6bo$441bo
170bobo$441bobo168b2o$441b2o3$489bo229bo$488bo228bobo$300b2o186b3o227b
2o134b2o$300b2o552b2o2$671bo$672bo$670b3o11$388b2o376b2o$388b2o376b2o
5$550b2o52b2o$550b2o52b2o8$300b2o552b2o$300b2o552b2o15$388b2o376b2o$
388b2o376b2o5$550b2o52b2o$550b2o52b2o8$300b2o552b2o$300b2o552b2o15$
598bo$596bobo$597b2o4$604b2o$604b2o4$429bo$428bo$428b3o2$300b2o552b2o$
300b2o429bo122b2o$732bo$730b3o28$300b2o552b2o$300b2o552b2o30$300b2o
552b2o$300b2o552b2o24$369bo$368bo$368b3o3$791bo$300b2o490bo61b2o$300b
2o488b3o61b2o30$300b2o552b2o$300b2o552b2o30$300b2o552b2o$300b2o552b2o
22$309bo$308bo$308b3o3$851bo$852bo$850b3o$300b2o552b2o$300b2o552b2o!

[Gustone]

Awesome is right! People usually start with big over-complicated mechanisms that gradually get cleaned up, but you seem to have skipped right to the small and elegant solution here.

That is because i started from the back. In fact, i'm sure that it can be made even smaller, because the track deletion is done by these rearmost crawler pairs, and the rest is just for suppressing the gliders.

Code: Select all

x = 581, y = 1202, rule = B3/S23
17b2o248b2o52b2o248b2o$17b2o248b2o52b2o248b2o15$105b2o376b2o$105b2o
376b2o14$17b2o248b2o52b2o248b2o$17b2o248b2o52b2o248b2o15$105b2o376b2o$
105b2o376b2o14$17b2o248b2o52b2o248b2o$17b2o248b2o52b2o248b2o15$105b2o
376b2o$105b2o376b2o14$17b2o248b2o52b2o248b2o$17b2o248b2o52b2o248b2o15$
105b2o376b2o$105b2o376b2o14$17b2o248b2o52b2o248b2o$17b2o248b2o52b2o
248b2o15$105b2o376b2o$105b2o376b2o14$17b2o248b2o52b2o248b2o$17b2o248b
2o52b2o248b2o15$105b2o376b2o$105b2o376b2o14$17b2o248b2o52b2o248b2o$17b
2o248b2o52b2o248b2o15$105b2o376b2o$105b2o376b2o14$17b2o248b2o52b2o248b
2o$17b2o248b2o52b2o248b2o15$105b2o376b2o$105b2o376b2o14$17b2o248b2o52b
2o248b2o$17b2o248b2o52b2o248b2o15$105b2o376b2o$105b2o376b2o14$17b2o
248b2o52b2o248b2o$17b2o248b2o52b2o248b2o15$105b2o376b2o$105b2o376b2o
14$17b2o248b2o52b2o248b2o$17b2o248b2o52b2o248b2o15$105b2o376b2o$105b2o
376b2o14$17b2o248b2o52b2o248b2o$17b2o248b2o52b2o248b2o15$105b2o376b2o$
105b2o376b2o14$17b2o248b2o52b2o248b2o$17b2o248b2o52b2o248b2o15$105b2o
376b2o$105b2o376b2o14$17b2o248b2o52b2o248b2o$17b2o248b2o52b2o248b2o15$
105b2o376b2o$105b2o376b2o14$17b2o248b2o52b2o248b2o$17b2o248b2o52b2o
248b2o15$105b2o376b2o$105b2o376b2o14$17b2o248b2o52b2o248b2o$17b2o248b
2o52b2o248b2o15$105b2o376b2o$105b2o376b2o14$17b2o248b2o52b2o248b2o$17b
2o248b2o52b2o248b2o15$105b2o376b2o$105b2o376b2o14$17b2o248b2o52b2o248b
2o$17b2o248b2o52b2o248b2o15$105b2o376b2o$105b2o376b2o14$17b2o248b2o52b
2o248b2o$17b2o248b2o52b2o248b2o15$105b2o376b2o$105b2o376b2o14$17b2o
248b2o52b2o248b2o$17b2o248b2o52b2o248b2o15$105b2o376b2o$105b2o376b2o
14$17b2o248b2o52b2o248b2o$17b2o248b2o52b2o248b2o15$105b2o376b2o$105b2o
376b2o13$570b2o$16b3o248b2o52b2o246b2obo$11b2o3bo2b2o246b2o52b2o247bob
o$10bo3bob2o549bo5bo$11bob4obo2bo544bo3bob2o$11bo4b3ob2o544bobob2o$12b
obobobob2o$12bo3bobobo559bo$14b2o3bo560bo$bo578bo$bo$3o3$3o$bo19b2o
544b2o$bo19bo2b2obo539b2o$22bob3obo76b2o376b2o$25bo79b2o376b2o$22bo6bo
$22bo2bobo$25bo$24b2o$17b2o552b2o$17b2o23bo528b2o$43bo$41b3o3$542bo$
541bo$541b3o$267b2o52b2o$267b2o52b2o3$9b2o568b2o$9b2o568b2o10$106bo$
106b2o$105bobo$105bobobo$105b2ob2obo$112bo375b2o$110b2o369bo5bo2bo$17b
2o78bo390b3obo78b2o$17b2o78bo382bobo5bo3bo78b2o$97bo383bo10bo6$109b2o
368b2o$109b2o156b2o52b2o156b2o$267b2o52b2o3$9b2o568b2o$9b2o568b2o2$
105b2o376b2o$105b2o376b2o5$135bo$133bobo$134b2o3$449bo$449bobo$97b2o
350b2o40b2o$97b2o392b2o$17b2o552b2o$17b2o552b2o8$267b2o52b2o$267b2o52b
2o3$9b2o568b2o$9b2o568b2o2$69bobo33b2o376b2o$69b2o34b2o376b2o$70bo3$
96b2o425bobo$95bo2bo425b2o$524bo$95bobo7$17b2o552b2o$17b2o294b3o255b2o
$314bo$314b3o6$275bo$274b3o$274bob2o$265b2o56b2o$9b2o254b2o46b2o8b2o
254b2o$9b2o302b2o264b2o2$105b2o376b2o$105b2o159bobo214b2o$266b2o$267bo
57bo$324bobo$323bo3bo$323bo3bo$263b2o58bo$263b2o59b3o7$17b2o248b2o52b
2o248b2o$17b2o248b2o52b2o248b2o12$9b2o264b2o36b2o264b2o$9b2o264b2o36b
2o264b2o2$105b2o376b2o$105b2o376b2o3$195bo$193bobo$194b2o3$389bo$218bo
170bobo$218bobo168b2o$218b2o3$17b2o248b2o52b2o53bo194b2o$17b2o248b2o
52b2o51bobo194b2o$375b2o6$321bo$318bo3bo$321b2o$311b3o3bo2bo2b3o$310b
2o3bo4b3o2bo$309b2o2bobo2bo6bo$270b3o37bo5bo2b2o2b2o$270bo2bo37b2o2bo
5b2o$105b2o161b2o2b2o41bo167b2o$105b2o160bo5bo209b2o$270b3o$267b2o$
267bo2b3o$268bo2bo$268b2o51b2o$321b2o2$275bo$276b2o$275b2o3$309bo$17b
2o288b2o262b2o$17b2o289b2o261b2o3$275b2o36b2o$275b2o36b2o11$105b2o376b
2o$105b2o376b2o5$267b2o52b2o$267b2o52b2o8$17b2o552b2o$17b2o552b2o3$
275b2o36b2o$275b2o36b2o11$105b2o376b2o$105b2o376b2o$255bo$253bobo$254b
2o2$267b2o52b2o$267b2o52b2o6bo$158bo170bobo$158bobo168b2o$158b2o3$206b
o229bo$205bo228bobo$17b2o186b3o227b2o134b2o$17b2o552b2o2$388bo$389bo$
387b3o11$105b2o376b2o$105b2o376b2o5$267b2o52b2o$267b2o52b2o8$17b2o552b
2o$17b2o552b2o15$105b2o376b2o$105b2o376b2o5$267b2o52b2o$267b2o52b2o8$
17b2o552b2o$17b2o552b2o15$315bo$313bobo$314b2o4$321b2o$321b2o4$146bo$
145bo$145b3o2$17b2o552b2o$17b2o429bo122b2o$449bo$447b3o28$17b2o552b2o$
17b2o552b2o30$17b2o552b2o$17b2o552b2o24$86bo$85bo$85b3o3$508bo$17b2o
490bo61b2o$17b2o488b3o61b2o30$17b2o552b2o$17b2o552b2o30$17b2o552b2o$
17b2o552b2o22$26bo$25bo$25b3o3$568bo$569bo$567b3o$17b2o552b2o$17b2o
552b2o!

[dvgrn]

In fact, i'm sure that it can be made even smaller, because the track deletion is done by these rearmost crawler pairs, and the rest is just for suppressing the gliders.

True enough -- shorter, anyway, and it looks like the population is just slightly smaller also. Here's a tail with a height of about a thousand cells, which is a reduction of about a third of the length:

Code: Select all

x = 774, y = 1361, rule = B3/S23
109b2o248b2o52b2o248b2o$109b2o248b2o52b2o248b2o15$197b2o376b2o$197b2o
376b2o14$109b2o248b2o52b2o248b2o$109b2o248b2o52b2o248b2o15$197b2o376b
2o$197b2o376b2o14$109b2o248b2o52b2o248b2o$109b2o248b2o52b2o248b2o15$
197b2o376b2o$197b2o376b2o14$109b2o248b2o52b2o248b2o$109b2o248b2o52b2o
248b2o15$197b2o376b2o$197b2o376b2o14$109b2o248b2o52b2o248b2o$109b2o
248b2o52b2o248b2o15$197b2o376b2o$197b2o376b2o14$109b2o248b2o52b2o248b
2o$109b2o248b2o52b2o248b2o15$197b2o376b2o$197b2o376b2o14$109b2o248b2o
52b2o248b2o$109b2o248b2o52b2o248b2o15$197b2o376b2o$197b2o376b2o14$109b
2o248b2o52b2o248b2o$109b2o248b2o52b2o248b2o15$197b2o376b2o$197b2o376b
2o14$109b2o248b2o52b2o248b2o$109b2o248b2o52b2o248b2o15$197b2o376b2o$
197b2o376b2o14$109b2o248b2o52b2o248b2o$109b2o248b2o52b2o248b2o15$197b
2o376b2o$197b2o376b2o6$670b3o$671bo$669b3o6$102bo256b2o52b2o$101b3o
255b2o52b2o$100b2obo$111b2o548b2o$111b2o548b2o8b2o$671b2o3$109bobo$
110b2o$110bo549bo$659bobo$658bo3bo$658bo3bo$113b2o547bo$113b2o544b3o$
197b2o376b2o$197b2o376b2o5$109b2o552b2o$109b2o552b2o8$359b2o52b2o$359b
2o52b2o3$101b2o568b2o$101b2o568b2o11$197b2o377b3o$159bo37b2o375b5o$
157bobo420b3o$158b2o413bo7b2o$573bo3b2o3bo$198b3o373bo2b2obob2o$109b2o
87b3o2bo371b6o28bo53b2o$109b2o87bob3obo371bo3bo2bo25bobo51b2o$191b3o8b
obo377bo10bo15b2o$186b2o5bo11bo380bo4bo2bo$180b2o3b4obo14b2o378bo6bobo
$179b2o4bob2o4bo10bo2bo359b2o23b2o$179b2o12bo10bo2bo358bo2bo15b3o$180b
3o10bo10bo3bo352b3ob2ob3o$181b3o3bo2bo2bo10bo2bo353b2o3bo2b3o$185b2o4b
2o10b2obo152b2o52b2o148b2obob2o2bo$203b2o10bo143b2o52b2o150b12o$213bob
o353bo5bo$214b2o354b2o$101b2o468bo2bo96b2o$101b2o469bo98b2o$553bo$197b
2o354bobo19b2o$197b2o354b2o20b2o3$53bobo$53b2o$54bo3$723bobo$724b2o$
724bo2$189b2o392b2o$189b2o392b2o$109b2o552b2o$109b2o552b2o3$173bobo$
173b2o$174bo3$359b2o52b2o188bobo$359b2o52b2o189b2o$604bo2$101b2o568b2o
$101b2o473bo94b2o$575bo$576bo$197bo377b3o$192bob5o376b2o$191bo3bo2bo
374b2ob2o$192bo380bo$193bo2b3o373bo2bo3bo$185b2o4b2o4bo374bob2o2bobo$
183bo7b2o378b2o3bo4bo$181b3o9bo379b2o3bobo$180bo4b2o4bo382bob2obo$179b
o3b3obo387bo$180bobo4bo17b2o$184bo2bo16bobo3bo$185bo10bo14b2o$202bo3bo
364b2o$109b2o87b2o2b2ob2ob3o360b2o90b2o$109b2o87b2o463b2o$198b3o2bo$
203bo$201b2o$218bo$219b2o$197b2o19b2o355b2o$197b2o376b2o$359b2o52b2o$
359b2o52b2o135bo$548b2o$549b2o$101b2o568b2o$101b2o568b2o6$189b2o392b2o
$189b2o392b2o9$169bo$109b2o58bobo491b2o$109b2o58b2o492b2o3$609bo$607bo
bo$608b2o$197b2o376b2o$197b2o76bo299b2o$273bobo83b2o52b2o$274b2o83b2o
52b2o2$4b3o760b3o$101b2o390bo177b2o$101b2o390bobo175b2o$493b2o5$189b2o
392b2o$189b2o392b2o2$723b2o$724b2o$723bo3$54b2o$53b2o$55bo$109b2o552b
2o$109b2o552b2o$113bobo$113b2o$114bo3$197b2o376b2o86bobo$197b2o376b2o
87b2o$359b2o52b2o249bo$359b2o52b2o2$4b3o760b3o$101b2o568b2o$101b2o568b
2o6$189b2o392b2o$189b2o392b2o78b2o$664b2o$663bo3$114b2o$113b2o$115bo3$
107b3o553b2o$107b5o551b2o$103b3o$103b2o7bo165bo$103bo3b2o3bo166b2o$
102b2obob2o2bo166b2o381b3o$105b6o305bo241bo2b3o$102bo2bo3bo87b2o161bo
51b2ob3o157b2o80bob3obo$92bo10bo93b2o160bo51bo5bo72bo84b2o80bobo8b3o$
91bo2bo4bo260bo49bo4b4o69b2o166bo11bo5b2o$91bobo6bo258b3o48bo7bo70b2o
164b2o14bob4o3b2o$92b2o23b2o240b2o48b2o2b2o3bo235bo2bo10bo4b2obo4b2o$
4b3o91b3o15bo2bo237b2ob2o48bobo5bo235bo2bo10bo12b2o84b3o$115b3ob2ob3o
232bo53bo2bob2o235bo3bo10bo10b3o$114b3o2bo3b2o231bo2bo3bo290bo2bo10bo
2bo2bo3b3o$113bo2b2obob2o233bob2o2bobo48b2ob2o237bob2o10b2o4b2o$109b
12o234b2o3bo4bo38b3o8bo230bo10b2o$110bo5bo240b2o3bobo281bobo$114b2o
242bob2obo282b2o$111bo2bo244bo243b2o$113bo75b2o392b2o19b2o$132bo56b2o
392b2o18bo$109b2o19bobo530b2o$109b2o20b2o222b2o60b2o244b2o$174b2o179b
2o60b2o$173b2o$175bo2$109bo$109bobo$109b2o$359b2o52b2o$359b2o52b2o$
669b2o$667bo$101b2o565bo3bo$101b2o567bobo2$197b2o376b2o$197b2o376b2o2$
686bobo$687b2o$4b3o680bo79b3o$367b2o36b2o$367b2o36b2o$80bobo$80b2o$81b
o461b2o$544b2o$543bo$189b2o392b2o$189b2o392b2o$109b2o123b2o427b2o$109b
2o122b2o428b2o$235bo4$393bo$391bobo$392b2o$359b2o52b2o$359b2o52b2o$
375bo$375bobo$375b2o3$197b2o376b2o$197b2o376b2o4$4b3o760b3o$367b2o36b
2o$367b2o36b2o$483b2o$484b2o$483bo3$189b2o103b2o287b2o$189b2o102b2o
288b2o$109b2o184bo367b2o$109b2o552b2o8$359b2o52b2o$338bo20b2o52b2o$
339b2o$338b2o3$430bo$197b2o229b2o145b2o$197b2o161bo68b2o144b2o$359bo3b
o47bob2o6b2o$359b2o49b2o2bo5bo3bo$356b3o2bo2bo3b3o29bo7bo5bo4bo5bo$4b
3o349bo2b3o4bo3b2o28b2o8b3o7bo4bo341b3o$356bo6bo2bobo2b2o28b2o3bo3b2o
10bo2bo$357b2o2b2o2bo5bo29bo4bobo13bobo161bo$359b2o5bo2b2o25b3obo9bo
12bo162bobo$189bo176bo29b3o11bo175b2o$188b3o219bo3b2o$187b2ob2o$186b3o
$187bob2o392b2o$188b2o393b2o$109b2o78bo169b2o52b2o248b2o$109b2o248b2o
52b2o248b2o4$189bo2b2o$193b2o$192b2o$372bo$188b2o2b2o179b2o$194bo177b
2o208b3o$188b4o390bobo$190bo2bo387bo2bo$367b2o27bo8b2o174b3o$367b2o25b
2o9b2o174b3o$395b2o185bo2bo$582bo$585bo160bobo$747b2o$573b2o8bo163bo$
189b2o9b3o370b2o9bo$4b3o182b2o392b2o182b3o$20bobo177b3o$20b2o178b2o$
21bo2$572bo$571bobo$571bob2o$574bo$571bobo$109b2o248b2o52b2o157bo90b2o
$109b2o248b2o52b2o248b2o6$197b2o376b2o$197b2o376b2o5$367b2o36b2o$367b
2o36b2o6$189b2o392b2o$4b3o182b2o392b2o182b3o2$18b2o$17b2o$19bo3$749b2o
$750b2o$749bo$109b2o248b2o52b2o248b2o$109b2o248b2o52b2o248b2o4$o523bo
248bo$o521b2o249bo$o196b2o324b2o50b2o196bo$197b2o376b2o2$254bo$255b2o$
254b2o8$189b2o392b2o$4b3o71b2o109b2o392b2o182b3o$77b2o$79bo3$689b2o$
690b2o$689bo2$635bo$109b2o248b2o52b2o218bobo27b2o$109b2o248b2o52b2o
219b2o27b2o3$133bo$o132bobo637bo$o132b2o638bo$o196b2o376b2o196bo$197b
2o376b2o11$138b2o$137b2o50b2o392b2o$4b3o132bo49b2o392b2o182b3o2$671bo$
629b2o39b3o$630b2o38b3o$629bo$669b4o$669b5o$670bob2o2$359b2o52b2o$102b
2o255b2o52b2o$102bobo$102bo2bo5b2o548b2o$111b2o548b2o8b2o$o100bob2o
566b2o100bo$o98bo3bo669bo$o99bobo7bo86b2o376b2o196bo$108bobo86b2o376b
2o$109b2o$661bo$662b2o$659b2ob2o$659b2obo$113b2o544bo2bo$113b2o545b2o
2$198b2o$197b2o$199bo$189b2o392b2o$4b3o182b2o392b2o182b3o$109b2o458b2o
92b2o$109b2o459b2o91b2o$569bo7$359b2o52b2o$359b2o52b2o2$464bo$462b2o$o
462b2o308bo$o772bo$o196b2o376b2o196bo$197b2o115bo260b2o$315b2o$314b2o
5$258b2o$157bo99b2o$158b2o99bo$157b2o2$189b2o318b2o72b2o$4b3o182b2o
319b2o71b2o26bo155b3o$109b2o398bo99b2o52bo$109b2o499b2o50bob2o$662bo3b
o2b3o$662bo5bo$110bo551b2obobo$104b2o3bob5o545bobobo4bo$103bo2b4o2b4ob
2o542bobobob3o$102bobob2o2b3o549bo3b2o$98b2ob2o$92bo4b4o3b3o252b2o52b
2o265bo$92bo4bo8bo11b3o238b2o52b2o264b3o$92bo5bobob2o13b2o3bo555bobobo
$99bobo2b4o7b2o3bobo555bobobo$106b2o6bobo5bo535b2o19b3o$o102b3o7bo4b3o
535bo3bo19bo92bo$o99b2o2b2o6bo6bo534bo5bo112bo$o101bobo8bo83b2o376b2o
77bobob2o113bo$102b3o9b4o79b2o376b2o76bo4bo$129bo523bo4bo$54bo72bobo
523bo4bo$54bobo71b2o525b3o$54b2o$109b2o207b2o343b2o$109b2o206b2o320bo
23b2o$319bo319bobo82bo$639b2o81bobo$723b2o$449b2o$450b2o$189b2o258bo
133b2o$4b3o182b2o392b2o182b3o5$101b2o568b2o$101b2o568b2o4$365b2o$365bo
bo$364bo2bo43bo$83bobo271b2o4b2o2b2o41b2o$83b2o272b2o4b2obo41b2obo$o
83bo330bo357bo$o367bo38bo2bo4b2o158b2o196bo$o367bo39b2obobo2b2o155bo
199bo$196bob2o207bobo2b2o157bo3bo117bobo$190b2o4bo2bo164bo42bo2bo160bo
bo2bo117b2o$191bo4bo210bo167b2o117bo$192b3obo169b2o40bobo159b2o$192bo
2b2ob3o166bo41bo160bo7bo2bo$109b2o81bo3bob3o165b3o215bo78b2o$109b2o83b
2o159b2o60b2o156bo8bo78b2o$355b2o60b2o152bobobo8bo$574b4o3bo$571bo3bo$
179b5o388bobo$180b3o$181bo20b2o$4b3o194bo2bo6bo359b2o194b3o$201bob2o4b
2o148b2o52b2o156b2o$202bo3b5o148b2o52b2o$206bo2bo$203bob4o$101b2o101bo
466b2o$101b2o100bo467b2o2$197b2o22bo353b2o$197b2o23bo352b2o$220b3o3$
547bo$367b2o36b2o139bo$o366b2o36b2o139b3o224bo$o772bo$o772bo4$189b2o
392b2o$189b2o392b2o$109b2o552b2o$109b2o552b2o7$4b3o760b3o$359b2o52b2o$
168bo190b2o52b2o$166b2o$167b2o$101b2o568b2o$101b2o568b2o$610bo$197b2o
205b3o168b2o34b2o$197b2o171bo32bo3bo167b2o33b2o$368b2o33b2ob2o$369b2o
31b2ob2obo$401b2o5b2o$401b2o3bob2o174bo$367b2o38bo175bobo$367b2o217bo$
581bo3bo$189bo390bo4bo$187bobo389bo$188b2o$189bo394bo$189b2o390bo$189b
2o$109b2o552b2o$109b2o552b2o7$4b3o357b3o400b3o2$366bo39b2o$364b4o37b2o
bo$357b2o5b5o38bo7b2o$101b2o254b2o4bo3b2o37b3o6b2o254b2o$101b2o261b3o
39b3o262b2o$404b2ob2o$197b2o214bo161b2o$197b2o215b2o159b2o$413b2o$23bo
bo$23b2o$24bo$368b2o$355b2o9bobo48b2o$355b2o10bo49b2o334bobo$754b2o$
754bo5$109b2o248b2o52b2o248b2o$109b2o248b2o52b2o248b2o7$4b3o760b3o5$
101b2o264b2o36b2o264b2o$101b2o178bo85b2o36b2o264b2o$282bo$197b2o81b3o
292b2o$197b2o376b2o2$487bo$316bo169bo$315bo170b3o$315b3o3$462bo$463bo$
461b3o4$109b2o248b2o52b2o248b2o$109b2o248b2o52b2o248b2o4$405bo$404b2o$
403b3o$108bo294b2o$106b2o301bo$107b2o3$101b2o$101b2o$409b3o$197b2o210b
o2bo162b2o$197b2o209bo3bo162b2o$413bo$367bo41b3ob2o$366b2o45bo$365bo2b
o39bo3b2o$365bobo44bo$365bo2bo$365bo2bo$366bobo36bobo$365b3o37b2o$406b
o4$109b2o552b2o$109b2o552b2o2$357b2o$357b2o8b2o36b2o$367b2o36b2o2$355b
3o$355b3o$354b4o$352b2obo$352b2ob2o$352b5o2b2o$353b3o$353bo2$197b2o
376b2o$197b2o376b2o5$359b2o52b2o$359b2o52b2o8$109b2o552b2o$109b2o552b
2o3$367b2o36b2o$367b2o36b2o7$341bo$342bo$340b3o2$197b2o376b2o$197b2o
228bo147b2o$256bo169bo$255bo170b3o$255b3o2$359b2o52b2o$359b2o52b2o107b
o$303bo219bo$303bobo215b3o$303b2o3$475bo$473bobo$109b2o363b2o187b2o$
109b2o552b2o15$197b2o376b2o$197b2o376b2o5$359b2o52b2o$359b2o52b2o8$
109b2o552b2o$109b2o552b2o15$197b2o376b2o$197b2o376b2o5$359b2o52b2o$
359b2o52b2o8$109b2o552b2o$109b2o552b2o9$401bo$402bo$400b3o3$367bo$366b
o$366b3o5$243bo115b2o52b2o$243bobo113b2o52b2o$243b2o3$535bo$533bobo$
534b2o2$109b2o552b2o$109b2o552b2o30$109b2o552b2o$109b2o552b2o30$109b2o
552b2o$109b2o552b2o19$183bo$183bobo$183b2o3$595bo$593bobo$594b2o4$109b
2o552b2o$109b2o552b2o30$109b2o552b2o$109b2o552b2o30$109b2o552b2o$109b
2o552b2o17$123bo$123bobo$123b2o3$655bo$653bobo$654b2o6$109b2o552b2o$
109b2o552b2o!

It's possible to squeeze a few more cells out of the length by advancing the tail part relative to the blinker puffer at the front. That would be a good exercise for any interested readers.

[Gustone]

annotated offsets and all front variations

Code: Select all

x = 649, y = 378, rule = LifeHistory
124.4A.D124.4A.D124.4A.D124.4A.D124.4A$.3D2.D2.D2.D.D5.2D2.D6.D92.A3.
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2.D.D$129.D129.D129.D129.D$129.D129.D129.D129.D$129.D129.D129.D129.D$
129.D129.D129.D129.D$129.D129.D129.D129.D$129.D129.D129.D129.D$129.D
129.D129.D129.D$129.D129.D129.D129.D$129.D129.D129.D129.D$129.D129.D
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129.D$129.D129.D129.D129.D$129.D129.D129.D129.D$129.D129.D129.D129.D$
129.D129.D129.D129.D$129.D129.D129.D129.D$129.D129.D129.D129.D$129.D
129.D129.D129.D$129.D129.D129.D129.D$129.D129.D129.D129.D$129.D129.D
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2A2.4A121.D4.4A121.D4.4A121.D4.4A$4.A3.A120.DA.A.A3.A120.D4.A3.A120.D
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2.A120.D5.A2.A120.D5.A2.A120.D5.A2.A$129.D129.D3A126.D3A126.D3A$9.2A
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69.D129.D129.D$59.D.D67.D60.D68.D59.D69.D59.D69.D59.D$60.D.D66.D61.D
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63.D65.D63.D65.D63.D$66.D62.D60.A.A2.D63.D59.D4.D64.D59.D4.D64.D59.D
4.D$67.D61.D60.A5.D62.D60.D4.D63.D60.D4.D63.D60.D4.D$68.D60.D67.D61.D
61.D4.D62.D61.D4.D62.D61.D4.D$69.D59.D68.D60.D60.3A4.D61.D60.3A4.D61.
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68.3A$129.D72.D56.D68.2A59.D69.2A58.D68.A$129.D73.D55.D70.A58.D69.A.A
57.D69.A$129.D74.D54.D129.D129.D$129.D75.D53.D129.D129.D$129.D75.2A
52.D129.D129.D$129.D75.A.A51.D129.D129.D$129.D75.A53.D129.D129.D$649D
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3.D2.D.D2.D2.D100.D$.3D2.D.3D3.D.3D.2D2.D.D2.D.D97.D.3D.3D2.D.3D.3D.
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129.D$129.D133.D129.D129.D$129.D133.D129.D129.D$129.D133.D129.D129.D$
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129.D$129.D133.D129.D129.D$129.D133.D129.D129.D$129.D133.D129.D129.D$
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133.D129.D129.D$129.D133.D129.D129.D$129.D4.2A127.D129.D129.D$2A2.4A
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9.A119.D.A131.D9.A.A117.D9.3A117.D$129.D133.D9.A119.D9.A119.D$129.D
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129.D$129.D133.D129.D129.D$129.D133.D129.D129.D$129.D59.D73.D129.D
129.D$129.D60.D72.D129.D129.D$129.D61.D71.D129.D129.D$59.D69.D62.D70.
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61.D67.D61.D67.D$60.D.D66.D64.2A67.D62.D66.D62.D66.D$60.2A.D65.D63.2A
68.D63.D65.D63.D65.D$60.A.A.D64.D65.A67.D59.D4.D64.D59.D4.D64.D$60.A
4.D63.D133.D60.D4.D63.D60.D4.D63.D$66.D62.D59.D73.D61.D4.D62.D61.D4.D
62.D$67.D61.D60.D72.D60.3A4.D61.D60.3A4.D61.D$68.D60.D61.D71.D60.A7.D
60.D60.A7.D60.D$68.2A59.D60.3A70.D61.A7.D59.D61.A7.D59.D$67.2A60.D60.
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69.A59.D69.A59.D$129.D133.D129.D70.A58.D$649D$120.4A.D124.4A.D125.4A.
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129.D130.D129.D$125.D129.D130.D129.D$125.D129.D130.D129.D$125.D129.D
130.D129.D$125.D129.D130.D129.D$125.D129.D130.D129.D$125.D129.D130.D
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125.D129.D130.D129.D$125.D129.D130.D129.D$125.D129.D130.D129.D$125.D
129.D130.D129.D$125.D129.D130.D129.D$125.D129.D130.D129.D$125.D129.D
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.A2.A120.D5.A2.A120.D2.A3.A2.A120.D5.A2.A120.D3.A2.A$125.D129.D130.D
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62.D60.D68.D60.D4.D64.D62.D66.D$63.D61.D60.2A67.D61.D4.D63.D63.D65.D$
64.D60.D60.A.A66.D61.2A4.D62.D59.D4.D64.D$65.D59.D60.A2.D65.D60.2A6.D
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2A3.A2.A120.D6.A2.A$129.DA.A126.D$129.DA128.D$129.D129.D$129.D6.A122.
D4.3A$129.D5.2A122.D4.A$129.D5.A.A121.D5.A$129.D129.D$129.D129.D$129.
D129.D$13.A115.D129.D$12.2A115.D129.D$12.A.A114.D129.D$129.D129.D$
129.D129.D$129.D129.D$129.D129.D$129.D129.D$129.D129.D$129.D129.D$
129.D129.D$129.D129.D$129.D129.D$129.D129.D$129.D129.D$129.D129.D$60.
2A67.D59.D69.D60.3A$60.A.A66.D59.2D68.D60.A2.D$60.A2.D65.D60.2D67.D
61.A2.D$64.D64.D60.2AD66.D65.D$65.D63.D60.A.AD65.D66.D$66.D62.D60.A3.
D64.D67.D$67.D61.D65.D63.D$68.D60.D66.A62.D64.3A$69.D59.D65.2A62.D64.
A2.D$70.D58.D65.A.A61.D65.A$71.D57.D129.D$72.D56.D129.D$73.D55.D129.D
$73.AD54.D129.D$72.2A2D53.D129.D$72.A.AD53.D129.D$390D$124.4A.D122.4A
.D124.4A$2.D3.D.3D5.2D2.D6.D96.A3.AD.3D2.D2.D3.D6.2D2.D6.D90.A3.AD.3D
2.D.D.D5.2D2.D6.D96.A3.A$.2D2.D4.D2.D3.D.2D.D.D3.D95.A4.D.D3.D2.2D2.
2D3.D3.D.2D.D.D3.D89.A4.D.D3.D2.D.D2.D3.D.2D.D.D3.D95.A$2.D2.D3.D2.3D
.2D2.D.2D.D2.D96.A2.AD.3D.D3.D3.D2.3D.2D2.D.2D.D2.D90.A2.AD.3D.D2.3D.
3D.2D2.D.2D.D2.D96.A2.A$2.D2.D3.D3.D3.D2.D.D2.D2.D100.D.D.D.D3.D3.D3.
D3.D2.D.D2.D2.D94.D3.D.D4.D2.D3.D2.D.D2.D2.D$.3D2.D2.D2.3D.2D2.D.D2.D
.D101.D.3D2.D.3D.3D.3D.2D2.D.D2.D.D95.D.3D2.D3.D.3D.2D2.D.D2.D.D$129.
D127.D$129.D127.D$129.D127.D$129.D127.D$129.D127.D$129.D127.D$129.D
127.D$129.D127.D$129.D127.D$129.D127.D$129.D127.D$129.D127.D$129.D
127.D$129.D127.D$129.D127.D$129.D127.D$129.D127.D$129.D127.D$129.D
127.D$129.D127.D$129.D127.D$129.D127.D$129.D127.D$129.D127.D$129.D
127.D$2A2.4A121.D2.4A121.D4.4A$A.A.A3.A120.D2.A3.A120.D4.A3.A$A3.A
124.D2.A124.D4.A$5.A2.A120.D3.A2.A120.D5.A2.A$129.D127.D3A$129.D2A
125.DA$129.DA.A124.D.A7.A$129.DA126.D8.2A$129.D9.2A116.D8.A.A$129.D8.
2A117.D$129.D10.A116.D$129.D127.D$129.D127.D$12.2A115.D127.D$12.A.A
114.D127.D$12.A116.D127.D$129.D127.D$129.D127.D$129.D127.D$129.D127.D
$129.D127.D$129.D127.D$129.D127.D$129.D127.D$129.D127.D$129.D127.D59.
D$129.D59.D67.D60.D$129.D60.D66.D61.D$129.D61.D65.D62.D$60.2A67.D62.D
64.D63.D$60.A.A66.D63.D63.D59.D4.D$60.A2.D65.D64.D62.D60.D4.D$64.D64.
D59.D5.D61.D61.D4.D$65.D63.D60.D5.D60.D60.3A4.D$66.D62.D60.2A5.D59.D
60.A7.D$67.D61.D60.A.A5.D58.D61.A7.A$68.D60.D60.A8.D57.D68.2A$69.D59.
D69.2A56.D68.A.A$70.D58.D68.2A57.D$71.D57.D70.A56.D$72.D56.D127.D$73.
D55.D127.D$72.2AD54.D127.D$72.A.AD53.D127.D$72.A2.D53.D127.D!

Code: Select all

x = 1422, y = 511, rule = LifeHistory
262.2D$262.D$262.D$262.D$262.D$261.D$261.D$260.D$192.D67.D$192.D66.D$
192.D66.D$192.D65.D$193.D64.D$193.D63.D$194.D62.D$194.D61.D$195.D60.D
$195.D60.D$196.D58.D$196.D58.D$197.D56.D$198.D55.D$198.D55.D$199.D53.
D$200.D52.D$200.D51.D$201.D50.D$202.D49.D$202.D48.D$203.D47.D$203.D
47.D$204.D45.D$205.D44.D$205.D44.D$206.D42.D$207.D41.D$207.D40.D$208.
D39.D$208.D39.D$209.D37.D$210.D36.D$210.D36.D$211.D34.D$211.D34.D$
212.D33.D$212.D32.D$213.D31.D$214.D30.D$214.D29.D$215.D28.D$216.D27.D
$216.D26.D$217.D25.D$218.D24.D$218.D24.D$219.D22.D$220.D21.D$220.D21.
D$221.D19.D$221.D19.D$222.D18.D$222.D17.D$223.D16.D$223.D16.D$224.D
15.D$224.D14.D$225.D13.D$225.D13.D$226.D12.D$226.D11.D$226.D11.D$227.
D10.D$227.D10.D$228.D8.D$228.D8.D$229.D7.D$229.D7.D$230.D5.D$230.D5.D
$230.D4.D$231.D3.D$231.D2.D$231.D2.D$232.D.D$232.D.D$232.2D17$239.2A$
184.3A52.2A$183.D2.A$182.D2.A$181.D5.3A$180.D6.A$188.A11$757.2A$703.
3A51.2A$703.A$700.2A2.A$699.A.A$698.D2.A3$294.3A$294.A$295.A$181.3A$
180.D2.A$124.3A55.A$126.A58.2A52.2A$125.A59.2A52.2A$247.3A$247.A$248.
A7$701.3A$700.D2.A$699.D2.A112.2A$698.D116.A.A$815.A$763.3A$703.2A52.
2A4.A$640.2A61.2A52.2A5.A$639.A.A$641.A3$354.3A$354.A$355.A$121.3A$
123.A$64.3A55.A$66.A$65.A$307.3A$307.A$308.A7$641.3A$643.A$642.A232.
2A$875.A.A$875.A$823.3A$823.A$580.2A242.A$579.A.A$581.A3$414.3A$414.A
$415.A$61.3A$63.A$4.3A55.A$6.A$5.A$367.3A$367.A$368.A7$581.3A$583.A$
582.A352.2A$935.A.A$935.A$883.3A$883.A$520.2A362.A$519.A.A$521.A60$
1245.A$1243.A4.A$1243.A4.A$1247.A2$1189.A$1188.2A53.A$1188.A.A52.2A4.
A$1249.A$1188.A$1187.3A$1189.A$1188.A17$1189.A$1189.2A$1188.A.A3$192.
D1056.A49.3A$192.D1055.2A49.A$192.D1055.A.A49.A$193.D995.2A52.2A$193.
D995.2A52.2A$193.D933.3A$194.D931.D2.A$194.D933.A$195.D$195.D$196.D
35.D$197.D34.D$197.D34.D$198.D32.D$199.D31.D$199.D30.D$200.D29.D$201.
D27.D$202.D26.D$202.D25.D$203.D23.D$204.D22.D$205.D20.D$206.D18.D$
206.D17.D904.A$207.D16.D903.D2A$208.D14.D903.DA.A$209.D12.D903.D$209.
D11.D$210.D10.D1087.A49.3A$211.D8.D1087.2A49.A$212.D6.D1088.A.A49.A$
212.D6.D$213.D4.D$214.D3.D848.3A119.2A52.2A$214.D2.D851.A119.2A52.2A$
215.D.D850.A$215.2D$215.2D$215.D.D$214.D2.D$214.D3.D$213.D5.D$212.D6.
D$212.D7.D$211.D8.D$210.D10.D$210.D11.D$209.D12.D$209.D13.D$208.D14.D
$207.D16.D$207.D16.D$206.D18.D843.A$205.D19.D843.2A$205.D20.D841.A.A$
204.D21.D$203.D23.D$203.D23.D1141.A49.3A$202.D25.D1139.2A49.A$201.D
27.D1138.A.A49.A$201.D28.D$200.D29.D$199.D31.D775.3A$199.D32.D776.A$
198.D33.D775.A$197.D35.D$196.D36.2D$195.D39.D$194.D40.D$193.D42.D$
192.D$191.D$190.D$190.D$189.D$189.D$189.D$189.D$189.D$189.D16$237.2A$
183.3A51.2A$183.A$184.A$180.3A$179.D2.A$181.A11$760.2A$705.3A52.2A$
704.D2.A$703.D2.A2.2A$702.D6.A.A$701.D7.A$700.D2$181.3A$180.D2.A$179.
D2.A$294.3A$294.A$243.3A49.A$183.2A52.2A4.A$183.2A52.2A5.A$120.3A$
122.A$121.A7$815.3A$815.A$702.2A112.A$701.A.A$700.D2.A$645.3A$647.A
58.2A52.2A$646.A59.2A52.2A7.2A$769.A.A$769.A3$121.3A$123.A$122.A$354.
3A$354.A$303.3A49.A$303.A$304.A$60.3A$62.A$61.A7$875.3A$875.A$642.2A
232.A$641.A.A$643.A$585.3A$587.A$586.A242.2A$829.A.A$829.A3$61.3A$63.
A$62.A$414.3A$414.A$363.3A49.A$363.A$364.A$3A$2.A$.A7$935.3A$935.A$
582.2A352.A$581.A.A$583.A$525.3A$527.A$526.A362.2A$889.A.A$889.A!

V is the one the LWSSes are currently timed to, X is not possible with current structure
This is going to need fancier rakes than just the regular one
The offset between top and bottom salvoes is 6 (11+31n)
EDIT: minimised cleanup.

Code: Select all

x = 805, y = 967, rule = B3/S23
127b2o248b2o52b2o248b2o$127b2o248b2o52b2o248b2o15$215b2o376b2o$215b2o
376b2o14$127b2o248b2o52b2o248b2o$127b2o248b2o52b2o248b2o15$215b2o376b
2o$215b2o376b2o14$377b2o52b2o247b3o$125bobo249b2o52b2o245b2obobo$121bo
4bo2b2o547b2o3bo$120b2o6bobo545bo4bo$119b2o4bo2bob2o544bo5bo$119b2o9b
2o544bo5bo3bobo$120b5obob2o552bo3bo2bo$121bo2bo553bo4bobo3bo$121bo2bo
553bo4bo2bo2bo$112bo564bo5bo2bobo$110bo2bo22b2o540bob2o$110b3o566bo$
110b3o20bo$142bo$132b2o3bo4bo534b2o$131bobo5bobo535b2o$131b2o4bobo75b
2o376b2o$131b2o4b2o76b2o376b2o$132b3o2bo$132b3o3$127b2o22bo529b2o$127b
2o20bobo529b2o$150b2o3$653bo$653bobo$653b2o2$377b2o52b2o$377b2o52b2o3$
119b2o568b2o$119b2o568b2o11$97bobo115b2o376b2o$97b2o116b2o376b2o$98bo
3$715bobo$127b2o552b2o33b2o$127b2o552b2o33bo8$377b2o52b2o$377b2o52b2o
3$119b2o568b2o$119b2o568b2o11$215b2o$215b2o$593b3o3bo$593bo2b4o$594bo
2b3o$593b3o$127b2o87b2o384b2o77b2o$127b2o86bobo6b2o372b10o73b2o$215bob
o3b2o2bo375bo3b4o$210b2o4b2ob2obo375bo2bo2bo4b3o$199b4o6b2obobob2o381b
o8b4o$198bo3b2ob3ob2o5bo2bobob2o2bo357bo18b4o3bo$198b2o3bo6bo4bo5b3o2b
o353bo4b2o6b2o10b3o$201b2o7bo2bo7bob3o354bobo3b2o8bo$210bobo8bo358bobo
2b2obo7bo$200b3o8bo9b3o8bo144b2o52b2o153b4obo$202b2o26bobo144b2o52b2o
149b2o8b3o$231b2o355b4o$589b2o$119b2o469bo98b2o$119b2o451bo116b2o$572b
obo$215b2o355b2o19b2o$215b2o376b2o6$207bo$206b3o$205b2ob2o$204bo$203bo
4bob2o$203bo4bobo$204bo4bo2$127b2o552b2o$127b2o552b2o2$192bobo$192b2o$
193bo3$620bobo$377b2o52b2o188b2o$377b2o52b2o188bo3$119b2o568b2o$119b2o
568b2o2$215b2o376b2o$215b2o376b2o6$37bobo$37b2o$38bo3$775bobo$776b2o$
776bo$127b2o552b2o$127b2o552b2o8$377b2o52b2o$377b2o52b2o3$119b2o568b2o
$119b2o568b2o2$215b2o376b2o$215b2o376b2o14$127b2o552b2o$127b2o552b2o3$
600bobo$599bo2bo$598b2o3bo$292bo310bo$290bobo$291b2o84b2o52b2o165b3o2b
o$377b2o52b2o169b2o$208bo390b3o$207b3o302bo86b3o$119b2o86bob2o301bobo
174b2o$119b2o85b2o304b2o175b2o$206b2o$206b2o$210bo$209b2o$207bobo7b2o
372b2o$206bo2bo7b2o372b2o8b2o$207b2o382bo9b2o$590bo$590b2o$590b3o$591b
2o$218bo367bo$219b2o$219b2o2$218bo$127b2o90b2o460b2o$127b2o3bobo546b2o
$132b2o$133bo3$680bobo$215b2o376b2o86b2o$215b2o376b2o86bo$377b2o52b2o$
377b2o52b2o3$119b2o568b2o$119b2o568b2o5$bo$2bo204b2o392b2o$3o204b2o
392b2o3$771b3o29bo$773bo28bo$772bo29b3o3$41b3o$41bo$42bo84b2o552b2o$
127b2o552b2o3$267bo$268bo$266b3o$215b2o376b2o$215b2o376b2o$377b2o52b2o
104bo$377b2o52b2o103bo$536b3o9$207b2o392b2o$207b2o392b2o$711b3o$713bo$
712bo3$101b3o$101bo$102bo55bo$156b2o$127b2o28b2o522b2o$127b2o552b2o2$
656bo$657b2o$352bo303b2o$350bobo$215b2o134b2o240b2o$215b2o376b2o$377b
2o52b2o$377b2o52b2o19bo$452bobo$452b2o6$428bo$428b2o$207b2o218b4o170b
2o48b3o$207b2o215b3o3b2o169b2o50bo$424bo5bo221bo$424bo$425bo4bo$161b3o
263bo2b2o$161bo266bob2o$162bo218bo47b2o$380b3o$379bo2b2o$379bo$380bo
50b2o254b2o$384bo46b2o254bobo$125bo256bobo301bo2bo$124b2o257b2o294b2o
4b2o2b2o$122b2obo553b2o4b2obo$129bo$121bo2bo4b2o289bo269bo$122b2obobo
2b2o83b2o203bobo170b2o95bo$121bobo2b2o87b2o203b2o171b2o$121bo2bo561bo$
121bo$122bobo563b2o$123bo565bo$385b2o36b2o263b3o$131b2o252b2o36b2o252b
2o$131b2o544b2o2$61bo$62bo528b3o$60b3o530bo$207b2o383bo8b2o$207b2o392b
2o$127b2o552b2o60bo$127b2o92b3o457b2o59bo$221bo520b3o$222bo6$377b2o52b
2o$377b2o52b2o$327bo$328bo$326b3o$165bo$166bo$164b3o48b2o260bo115b2o$
215b2o259bo116b2o$476b3o$639bo$638bo$638b3o$385b2o36b2o$385b2o36b2o2$
531b3o$533bo$532bo2$207b2o392b2o$207b2o72b3o317b2o$281bo$282bo$686b3o$
679b2o4bo$679b2o4bo4bo$124b3o559bo4bo$124bobo563bo$124bobo2b3o554bob4o
$84bo36b2ob2o559b2o4bo$82b2o38bobo252b2o52b2o253bo3bo$83b2o38bo253b2o
52b2o254b2ob2o$688bobo$689bo$730bo$131b2o544b2o52b2o$131b2o544b2o51b2o
$215b2o376b2o$215b2o376b2o132b3o$729bo$728bo3$85b3o39b2o552b2o$85bo41b
2o342b3o207b2o$86bo386bo$472bo3$341b3o$207b2o132bo259b2o$207b2o133bo
258b2o5$119b2o43bo524b2o$119b2o41bobo524b2o$163b2o3$640bo$425b3o212bob
o$425bo214b2o$425b2obo4b2o$379b3o44bobo4b2o$378bo3bo44b2o$375bo7bo40b
2o$215b2o158bob3obob2o37b2o3bo165b2o$215b2o158bo3bobob2o42b3o163b2o$
380bo3bo38b3o$380b4o41bo$382bo40b3o163b5o$423b3o161b2o3bobob4o$127b2o
84bo210bo162b2o5bo5bo80b2o$127b2o82b2o2b2o156b2o60b2o152bob4o2b2o2b2o
78b2o$216b2o155b2o60b2o155bo3bo2bob2o3bo$213bo3bo3b2ob2o358bo12b2o3b2o
2bo$213b4o4bo2bo359b3o10bob2ob2o2bo3b3o$199b3o4b2o3bo9bob2o358bob3o8bo
2b7o$205b2ob2obo12bo355b2o5b2o7bob7o$200bo8bobo2bo7b2o5bo353bo2b2obo6b
o3bo$200bobobo4bo4bo7bo7b2o351b3o4bo9bo$199bo8bo20b2o146b2o52b2o150b3o
4b2o9b2o$199bo4b3o170b2o52b2o154b4o10bo$198bo4bobo381b3o9bobo$198bo3bo
372bo11b2o11bo$119b2o77b4o371b2o114b2o$119b2o453b2o113b2o2$215b2o376b
2o$215b2o376b2o5$385b2o36b2o$385b2o36b2o6$207b2o392b2o$207b2o392b2o$
127b2o552b2o$127b2o65bo486b2o$194bobo$194b2o3$620bo$618bobo$619b2o$
377b2o52b2o$377b2o52b2o3$119b2o568b2o$119b2o568b2o2$215b2o204bo171b2o$
215b2o169bo35bo170b2o$385b3o32b3o$384bo2b2o$383b3o2b2o$384bo3b3o$423b
2o$386bo36b2o8$127b2o295bo256b2o$127b2o294b3o255b2o$426bo$424b2o$425bo
5$384b3o$384bo2bo$384bob2o$375b2o56b2o$119b2o254b2o46b2o8b2o254b2o$
119b2o302b2o264b2o2$215b2o376b2o$215b2o159bo216b2o$376bobo$376b2o57bo$
434b3o$433b2ob2o$432b3o$373b2o58bob2o$373b2o59b2o$435bo6$127b2o248b2o
52b2o248b2o$127b2o248b2o52b2o248b2o4$289bo$290b2o$289b2o3$515bo$513b2o
$514b2o$119b2o264b2o36b2o264b2o$119b2o264b2o36b2o264b2o2$215b2o376b2o$
215b2o376b2o9$329bo$327b2o$328b2o2$134bo$127b2o5bobo240b2o52b2o52bo
195b2o$127b2o5b2o241b2o52b2o53b2o193b2o$485b2o2$680bo$678bobo$679b2o3$
432bo$422bo8b2obo$420b3o7bo2b3o$419bo3bo2bo2b5ob2o$119b2o260bo37bo4b3o
5b2obo253b2o$119b2o259b3o36b2obob3o2b6o254b2o$380bo2bo37bo3b2o3b4o$
215b2o161b2o2b3o208b2o$215b2o161b3o2bo209b2o$377b2o2b2o$377b3o$377bob
4o$377b2o2b2o$378b2o51b2o$431b2o2$386bo$387bo$385b3o3$418bo$127b2o288b
o263b2o$127b2o288b3o261b2o3$385b2o36b2o$385b2o36b2o11$215b2o376b2o$
215b2o376b2o5$377b2o52b2o$377b2o52b2o8$127b2o552b2o$127b2o552b2o2$349b
o$350b2o33b2o36b2o$349b2o34b2o36b2o3$455bo$453b2o$454b2o6$215b2o376b2o
$215b2o376b2o5$377b2o52b2o$377b2o52b2o$269bo$267b2o$268b2o3$545bo$315b
obo228b2o$127b2o186b2o228b2o134b2o$127b2o187bo364b2o3$497bobo$498b2o$
498bo10$215b2o376b2o$215b2o376b2o5$377b2o52b2o$377b2o52b2o8$127b2o552b
2o$127b2o552b2o15$215b2o376b2o$215b2o376b2o5$377b2o52b2o$377b2o52b2o8$
127b2o552b2o$127b2o280bo271b2o$410b2o$409b2o3$395bo$393b2o$394b2o14$
377b2o52b2o$377b2o52b2o5$255bobo$255b2o$256bo$127b2o552b2o$127b2o552b
2o$557bobo$558b2o$558bo27$127b2o552b2o$127b2o552b2o30$127b2o552b2o$
127b2o552b2o25$195bobo$195b2o$196bo3$127b2o488bobo61b2o$127b2o489b2o
61b2o$618bo29$127b2o552b2o$127b2o552b2o30$127b2o552b2o$127b2o552b2o23$
135bobo$135b2o$136bo3$677bobo$678b3o$127b2o549bob3o$127b2o552b2o!