ConwayLife.com • Synthesising Oscillators - Page 63

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Re: Synthesising Oscillators

Posted: December 9th, 2022, 9:26 pm

by muzik

Are we sure Catagolue can even handle five-digit period syntheses? I tried submitting a p10500 several days ago alongside a p6600, and only the latter appeared: viewtopic.php?f=7&t=3949&start=50

I pinged Adam about it on Discord but he never gave a response.

Re: Synthesising Oscillators

Posted: December 10th, 2022, 12:07 pm

by DroneBetter

Trivial 8-glider synthesis of xp8_jjgz20436xggzy41581qo (originally discovered in dimer form by Charity Engine on 2022-05-20 as xp8_ybkp87w33zy6g0oozy4cd042za8963z66)

Code: Select all

x = 24, y = 29, rule = B3/S23
22bo$21bo$21b3o6$20bo$19bo$11bo7b3o$9bobo2b2o$10b2ob2o$15bo$6bo$4b2o$
2bo2b2o$obo$b2o3$14b2o$14bobo$14bo3$9b3o$9bo$10bo!

Re: Synthesising Oscillators

Posted: December 10th, 2022, 12:36 pm

by Ian07

DroneBetter wrote: December 10th, 2022, 12:07 pm Trivial 8-glider synthesis of xp8_jjgz20436xggzy41581qo (originally discovered in dimer form by Charity Engine on 2022-05-20 as xp8_ybkp87w33zy6g0oozy4cd042za8963z66)
Code: Select all
x = 24, y = 29, rule = B3/S23
22bo$21bo$21b3o6$20bo$19bo$11bo7b3o$9bobo2b2o$10b2ob2o$15bo$6bo$4b2o$
2bo2b2o$obo$b2o3$14b2o$14bobo$14bo3$9b3o$9bo$10bo!

Fixed:

Code: Select all

x = 63, y = 21, rule = B3/S23
61bo$60bo$60b3o4$6bo$7bo7b2o$5b3o7bobo35b2o4bo$16bo36bobo2bo$54bo3b3o$
2bo$obo$b2o$49b2o$47bob2o$14b2o30bo$14bobo32bo$10b2o2bo30b2obo$11b2o
32b2o$10bo!

Re: Synthesising Oscillators

Posted: December 13th, 2022, 4:38 pm

by muzik

If anyone wants a relatively easy challenge, the current eighth smallest xp2 in all-soups is still in need of a synthesis: https://catagolue.hatsya.com/object/xp2 ... w121/b3s23

I've also found a couple more relatively simple looking reactions that lead to large symmetric p2s that are yet to be synthesised.

Code: Select all

x = 33, y = 33, rule = B3/S23
16bo$16bo$16bo4$16bo$14b2ob2o3$14b2obo$16b2o3$7bo14bo2bo$7bo2b2o10bo2b
o$3o3bo4bo9bo4bo3b3o$7bo2bo10b2o2bo$7bo2bo14bo3$15b2o$15bob2o3$14b2ob
2o$16bo4$16bo$16bo$16bo!

Code: Select all

x = 23, y = 23, rule = B3/S23
8b2o$9b2o$8b2o7b2o$3bo4bo7bo2bo$2bobo12b2o$2bobo$3bo2$19b2obo$20b3o$
21bo2$bo$3o$ob2o2$19bo$18bobo$4b2o12bobo$3bo2bo7bo4bo$4b2o7b2o$12b2o$
13b2o!

And this:

Code: Select all

x = 34, y = 7, rule = B3/S23
bo2bo$o3bo$o4bo22bobo$o4bo22b2o$bo3bo$2bobo24b5o$30b3o!
[[ X -15 Y 15 AUTOSTART ]]

Re: Synthesising Oscillators

Posted: December 13th, 2022, 5:50 pm

by dvgrn

muzik wrote: December 13th, 2022, 4:38 pm If anyone wants a relatively easy challenge, the current eighth smallest xp2 in all-soups is still in need of a synthesis: https://catagolue.hatsya.com/object/xp2 ... w121/b3s23

That should be a fun one -- lots of symmetric soups to look through. Here's a near miss:

Code: Select all

x = 74, y = 74, rule = LifeHistory
69.2B$68.5B$65.B.C5B$63.5BC4B$63.3B3C5B$62.12B$61.12B$61.7B3C2B$61.9B
C2B$63.6BC3B$63.10B$63.10B$55.3B4.10B$54.5B2.12B$53.7B.11B$53.7B.11B$
15.A38.18B$16.2A37.18B$15.2A39.16B$51.3B2.16B$50.2D20B$50.2D20B$51.
21B$52.17B3C$24.A28.B2D13BC2B$22.2A30.2D14BCB$23.2A32.14B$59.12B$20.A
39.11B$20.2A38.11B$19.A.A38.6B.3B$7.A53.2B$8.A$6.3A3$2A63.F$2A2.2A15.
D42.C$4.2A14.2D41.2C$13.D.3D.2D.2D32.C.3C.2C.2C$2.A6.2A.D.D6.4D30.C.C
6.4C$2.A6.2A2.D8.D.2D30.C8.C.2C$2.A9.D9.D.2D29.C9.C.2C$9.2A.D10.D31.C
10.C$9.2A.D42.C$23.D.2A39.C$12.D10.D.2A28.C10.C$10.2D.D9.D9.A19.2C.C
9.C$10.2D.D8.D2.2A6.A19.2C.C8.C$11.4D6.D.D.2A6.A20.4C6.C.C$12.2D.2D.
3D.D32.2C.2C.3C.C$14.2D14.2A25.2C$14.D15.2A2.2A21.C$34.2A20.F3$27.3A$
27.A$28.A$14.A.A$14.2A$15.A2$11.2A$12.2A$11.A6$19.2A$18.2A$20.A!
#C [[ STOP 63 ]]

If there's a symmetrical way to push those two blocks in there diagonally, that doesn't take that one extra tick to complete one of the blocks, then that will solve it. All of the relevant octohash results seem to use the same o$3o$o2bo$b3o! predecessor.

I thought for sure this one would be solvable once I ran into this in D8_1 --

Code: Select all

x = 16, y = 16, rule = B3/S23
11b2o$9bo2bo$8b4o2b2o$8b3o3b2o$12bo$11bo$12bo2$2b2o$b3o$2b2o$obo2bo$2o
2bobo2$2b2o$2b2o!

... but for some reason that "A" shape at T=23 isn't turning up any octohash results.

EDIT: Aha, there is a workable option from the sixth D8_1 soup:

Code: Select all

x = 28, y = 36, rule = B3/S23
21b2o$17bo3b2o$17bo$17bo$20b2o$20b2o5bo$25b2o$26b2o2$14b2ob2o$10b2o2b
2ob2o$10b2o3$6b2o$6b2o5$20b2o$20b2o3$16b2o$9b2ob2o2b2o$9b2ob2o2$2o$b2o
$o5b2o$6b2o$10bo$10bo$5b2o3bo$5b2o!

Re: Synthesising Oscillators

Posted: December 13th, 2022, 6:07 pm

by muzik

I had discovered this as a potential approach, but getting the last two in place didn't seem possible without more expensive methods:

Code: Select all

x = 39, y = 47, rule = B3/S23
6$18bobo$18b2o$19bo3$15bo2bo$15b4o2$15b4o$15bo2bo$3bo12b2o$4b2o$3b2o3b
2ob2o8b2ob2o$9bobobo6bobobo$9bobobo6bobobo$8b2ob2o8b2ob2o3b2o$28b2o$
16b2o12bo$15bo2bo$15b4o2$15b4o$15bo2bo3$14bo$14b2o$13bobo!

Re: Synthesising Oscillators

Posted: December 13th, 2022, 6:17 pm

by muzik

22G probably isn't optimal:

Code: Select all

x = 430, y = 88, rule = B3/S23
8bo62bo$9bo61bobo$7b3o61b2o3$14bobo50bobo$15b2o50b2o$15bo52bo15$5bo57b
o359b2o$3bobo57bobo353bo3b2o$4b2o57b2o354bo$419bo$203b2o94b2o121b2o$
203b2o90bo3b2o121b2o5bo$198b3o94bo131b2o$295bo132b2o$186bo15b2o94b2o$
187bo14b2o94b2o116b2ob2o$185b3o224b2o2b2ob2o$412b2o$278bo$196b2ob2o78b
o12b2ob2o$196b2ob2o76b3o8b2o2b2ob2o111b2o$288b2o118b2o2$188b3o$190bo$
189bo$302bo119b2o$280b3o18bo120b2o$282bo18b3o$281bo$202bo215b2o$201bo
209b2ob2o2b2o$201b3o207b2ob2o2$294b2o106b2o$191b2ob2o91b2ob2o2b2o8b3o
96b2o$191b2ob2o91b2ob2o12bo97bo5b2o$305bo102b2o$412bo$204b3o205bo$188b
2o14bo79b2o121b2o3bo$188b2o15bo78b2o121b2o$288bo$191b3o94bo$187b2o94b
2o3bo$187b2o94b2o2$9b2o57b2o$8bobo57bobo$10bo57bo15$5bo52bo$5b2o50b2o$
4bobo50bobo3$b2o61b3o$obo61bo$2bo62bo!

A logical next step might be this other large symmetric spark coil variant: https://catagolue.hatsya.com/object/xp2 ... 9611/b3s23

Another thing, where four teardrops react with four loaf predecessors to create yet another thing not yet synthesised:

Code: Select all

x = 28, y = 28, rule = B3/S23
b2o22b2o$o2bo12b2o6bo2bo$o2bo10b2obo6bo2bo$b3o8b2o3bo6b3o$18b2o$12b2o
7bo$5bo4bo3b2obob2o$6b2ob2o7b3o$4bob3o9b2o$4bo2b3o8bobo$b3o2bo13b2o$bo
$2bo3bo15bobo$2bo3bo15bobo$3bobo15bo3bo$3bobo15bo3bo$26bo$6b2o13bo2b3o
$7bobo8b3o2bo$8b2o9b3obo$7b3o7b2ob2o$7b2obob2o3bo4bo$6bo7b2o$8b2o$b3o
6bo3b2o8b3o$o2bo6bob2o10bo2bo$o2bo6b2o12bo2bo$b2o22b2o!

Re: Synthesising Oscillators

Posted: December 13th, 2022, 7:31 pm

by dvgrn

muzik wrote: December 13th, 2022, 6:17 pm 22G probably isn't optimal...

Nope -- here's 20G. I didn't look any further than replacing the last two 2G-each block syntheses with a 3G two-block synth:

Code: Select all

x = 103, y = 40, rule = B3/S23
96b2o$92bo3b2o$92bo$92bo$22b2o71b2o$18bo3b2o71b2o5bo$18bo81b2o$18bo82b
2o$21b2o$21b2o66b2ob2o$2bo82b2o2b2ob2o$obo82b2o$b2o7bo$11bo3b2ob2o$9b
3o3b2ob2o61b2o$81b2o3$9b3o$11bo$10bo84b2o$95b2o2$19bo$18bo72b2o$18b3o
63b2ob2o2b2o$84b2ob2o2$75b2o$10b2ob2o3b3o55b2o$10b2ob2o3bo56bo5b2o$19b
o7b2o52b2o$27bobo55bo$27bo57bo$7b2o71b2o3bo$7b2o71b2o$11bo$11bo$6b2o3b
o$6b2o!

Re: Synthesising Oscillators

Posted: December 14th, 2022, 8:36 am

by Anivec

muzik wrote: December 13th, 2022, 6:17 pm 22G probably isn't optimal:

Code: Select all

x = 430, y = 88, rule = B3/S23
8bo62bo$9bo61bobo$7b3o61b2o3$14bobo50bobo$15b2o50b2o$15bo52bo15$5bo57b
o359b2o$3bobo57bobo353bo3b2o$4b2o57b2o354bo$419bo$203b2o94b2o121b2o$
203b2o90bo3b2o121b2o5bo$198b3o94bo131b2o$295bo132b2o$186bo15b2o94b2o$
187bo14b2o94b2o116b2ob2o$185b3o224b2o2b2ob2o$412b2o$278bo$196b2ob2o78b
o12b2ob2o$196b2ob2o76b3o8b2o2b2ob2o111b2o$288b2o118b2o2$188b3o$190bo$
189bo$302bo119b2o$280b3o18bo120b2o$282bo18b3o$281bo$202bo215b2o$201bo
209b2ob2o2b2o$201b3o207b2ob2o2$294b2o106b2o$191b2ob2o91b2ob2o2b2o8b3o
96b2o$191b2ob2o91b2ob2o12bo97bo5b2o$305bo102b2o$412bo$204b3o205bo$188b
2o14bo79b2o121b2o3bo$188b2o15bo78b2o121b2o$288bo$191b3o94bo$187b2o94b
2o3bo$187b2o94b2o2$9b2o57b2o$8bobo57bobo$10bo57bo15$5bo52bo$5b2o50b2o$
4bobo50bobo3$b2o61b3o$obo61bo$2bo62bo!

Nice, also, are those bulldozer front ends?

Re: Synthesising Oscillators

Posted: December 14th, 2022, 8:56 am

by dvgrn

AlbertArmStain wrote: December 14th, 2022, 8:36 amNice, also, are those bulldozer front ends?

Nope. Similar, but narrower -- take out the two middle columns and they're identical, but that's a big change of course.

Code: Select all

x = 34, y = 42, rule = B3/S23
24b2o4b2o$25b6o$22bo3b4o3bo$22b2o3b2o3b2o$23b2o6b2o$23b3o4b3o$23b3o4b
3o$23b2o6b2o$7b4o11b2o3b2o3b2o$6b6o10bo3b4o3bo$5b8o12b6o$4b2o6b2o10b2o
4b2o3$6bo4bo$6b2o2b2o3$7b4o$7bo2bo$6bo4bo$7b4o$6b2o2b2o$7b4o$8b2o$3o5b
2o5b3o$3o4bo2bo4b3o$b2o3bo4bo3b2o$2bobo8bobo$bo14bo$2bo2bobo2bobo2bo$
5bo6bo$5bob4obo$5bo6bo$5b2ob2ob2o$6bob2obo3$4b2o6b2o$2b2obo6bob2o$2b4o
6b4o$3bo10bo!

Re: Synthesising Oscillators

Posted: December 14th, 2022, 9:19 am

by muzik

Even-symmetric queen bees are another interpretation:

Code: Select all

x = 31, y = 22, rule = B3/S23
27b2o$27b2o8$2b2o4b2o14b2o3b2o$3b6o16b5o$o3b4o3bo14b3o$2o3b2o3b2o15bo$
b2o6b2o$b3o4b3o$b3o4b3o$b2o6b2o$2o3b2o3b2o$o3b4o3bo$3b6o$2b2o4b2o16b2o
$26b2o!

Re: Synthesising Oscillators

Posted: December 14th, 2022, 11:38 am

by GUYTU6J

Complete: p36 traffic light hassler

Code: Select all

x = 516, y = 46, rule = B3/S23
515bo$4b3obo2bobo110b3obo2bobo110b3obo2bobo110b3obo2bobo110b3obo2bobo
19b2o$5bobobobo2bo110bobobobo2bo110bobobobo2bo110bobobobo2bo110bobobob
o2bo19b2o$14bo119bo119bo119bo119bo$7bo119bo119bo119bo119bo$7bo2bobobob
o110bo2bobobobo110bo2bobobobo110bo2bobobobo110bo2bobobobo$8bobo2bob3o
110bobo2bob3o110bobo2bob3o110bobo2bob3o110bobo2bob3o3$248bo119bo119bo
25bo$125b2o4b2o113bo3b4o112bo3b4o112bo3b4o18b2o$124bobo3bo2bo112bo3bo
115bo3bo115bo3bo11bo10b2o$8bo116bo5b2o113bo119bo119bo15bobo$7b2o240bo
119bo13bo105bo12b2o$7bobo237b2o118b2o14bobo101b2o$362bo20b2o$11b2o350b
o$6b2o3bobo347b3o$5bobo3bo$7bo$20b3o242bobo$20bo97bobo3b3o138b2o90bo$
21bo97b2o3bo141bo88bobo$3o116bo5bo230b2o129b3o$2bo361bo5bo118bo$bo120b
2o241b2o2bo118bo$123b2o239b2o3b3o119b2o$122bo144b2o114b2o106bo2bo8b2o$
262b2o2b2o115b2o97b2o19b2o$261bobo4bo212bobo$263bo105b2o12bo99bo7bob2o
8bo$370b2o10bobo101b2o2bobo9bobo$369bo12bo2bo2b2o96bo4bo10bo2bo2b2o$
386bob2o100bo15bob2o$384b2o101bo2bo13b2o4$100b2o$101b2o$100bo176b3o$
277bo$267bo10bo$266b2o85b3o$266bobo86bo$354bo!

<s>Incomplete</s>Complete (12 hours after posting): C4_4 symmetric xp3_ok4o0u1f0b96z6aaa8d7er1l5lmzw69d0f8701221

Code: Select all

x = 174, y = 78, rule = B3/S23
14bo$12bobo$13b2o9$18bo$16bobo4bo11bo8bo31bo$17b2o5b2o7bobo9bo29bo$23b
2o9b2o7b3o29b3o2$65bo$64bo$50bo13b3o$50bobo$50b2o3$63bobo$63b2o89bo$
19bo44bo88bo$20bo132b3o$18b3o$149b2o16b2o$148bo2bo14bo2bo$148bobo16bob
o$149bo18bo$13b2o140b2ob2o$12bobo49bo89bobobobo10b2o$14bo48bo90bobobob
o2b2o6bobo$63b3o89b4obobo2bo5bo$158bobob4o$153b5ob2obo$152bo4bo3b5o$
152b5o3bo4bo$155bob2ob5o$152b4obobo$12b3o131bo5bo2bobob4o$14bo48bo80bo
bo6b2o2bobobobo$13bo49bobo79b2o10bobobobo$63b2o93b2ob2o$149bo18bo$148b
obo16bobo$148bo2bo14bo2bo$149b2o16b2o$57b3o$57bo104b3o$13bo44bo105bo$
13b2o148bo$12bobo3$26b2o$25bobo$11b3o13bo$13bo$12bo2$3o29b3o7b2o9b2o$
2bo29bo9bobo7b2o5b2o$bo31bo8bo11bo4bobo$59bo9$63b2o$63bobo$63bo!

Complete: p4-stabilized scrubber, xp4_2djm6ggsc2qt6z0op1no887ccgz352211w33652

Code: Select all

x = 391, y = 53, rule = B3/S23
136bo$136bobo$136b2o$380bo$380bobo$380b2o2$243bo$244bo129b3o$242b3o2$
345bo$246bo8b3o88bo$135bo110bobo95b3o$135bobo104bo3b2o$102bo32b2o103bo
bo$103bo11bo117bo7b2o$101b3o12bo5bobo108bo115bo$114b3o5b2o109bo115bo$
123bo128b2o4bo90bo$240b2o10b2o3bo104b2o7b2o$135b2o103b2o15b3o4bo96bo3b
o3b3obo$4bo4b2o113bo4b2o3b2o108bo4b2o13bobo94b2o2bo2bo4bo$3bobo2bo2bo
4bo106bobo2bo2bo4bo106bobo2bo2bo12b2o96bo3bo$3bobo3b2o4bo107bobo3b2o
112bobo3b2o111bo3b2o3b2o$4bo10b3o106bo109bo9bo14b3o101bo3bob2o$235bo
23bo105b2ob2o$130bo102b3o14bo9bo103b2obo3bo$124b2o3bobo112b2o3bobo110b
2o3b2o3bo$118bo4bo2bo2bobo97b2o12bo2bo2bobo116bo3bo$119b2o3b2o4bo97bob
o13b2o4bo110bo4bo2bo2b2o$b2o9b3o103b2o110bo4b3o15b2o106bob3o3bo3bo$obo
9bo224bo3b2o10b2o107b2o7b2o$2bo10bo117bo104bo4b2o142bo$8b2o121b2o5b3o
120bo123bo$8bobo119bobo5bo12b3o107bo123bo$8bo130bo11bo100b2o7bo$118b2o
32bo99bobo$117bobo127b2o3bo$119bo126bobo139b3o$237b3o8bo139bo$389bo2$
250b3o$250bo107b3o$251bo2$353b2o$352bobo$354bo$117b2o$116bobo$118bo!

(EDIT on December 21st, complete: xp5_wg886k4raq4oz47o7lp11w7ao7p8z01168nkm9bp5521zy31

Code: Select all

x = 628, y = 58, rule = B3/S23
481bo$479bobo$480b2o13bo$474bo19bo$348bo123bobo19b3o$349b2o6bo115b2o$
348b2o7bobo$357b2o116b2o120bo$474bo2bo5bo111bobo$388bobo83bo2bo6b2o
110b2o$388b2o85b2o6b2o$389bo2$510bo88b2o4bo$509bo89b2o3bobo$bo119bo
119bo119bo119bo23b2o2b3o92bobo$obo117bobo117bobo117bobo117bobo21bo2bo
97bo20bo$bobo21bo95bobo117bobo117bobo117bobo20bo2bo117bo$2b2o19bobo96b
2o118b2o118b2o23b3o5bo67bo18b2o21b2o118b3o$24b2o361bo6bo66bobo$388bo5b
3o65b2o143bo12b2o$20b2o116bo119bo119bo119bo105bo2b3o10b2o$21b2o114bobo
117bobo117bobo117bobo104b3o3bo$20bo115bobo117bobo117bobo117bobo103b2o
3bobobo$25bo110b2o118b2o118b2o118b2o103bo3bobobobo$24b2o574bob2o3bo4b
2o5b2o$24bobo573bo4b2obobobo5bo2bo$500b3o96b2ob3o3bo3bo6b2o$241bobo
349b2o6bo3bo3b3ob2o$241b2o225bo123bo2bo5bobobob2o4bo$242bo225b2o123b2o
5b2o4bo3b2obo$127bo228b2o109bobo6b2o124bobobobo3bo$128b2o225bobo117bob
o124bobobo3b2o$127b2o225bobo102b3o12bobo126bo3b3o$233bo21b2o98bo19b2o
84bo13bo19b2o95b2o10b3o2bo$135bo95bobo3b2o16b2o88bo29b2o83bo34b2o95b2o
12bo$134bo97b2o3bobo106bo12b2o118b2o$134b3o100bo12b2o92b3o12b2o9b2o20b
2o73b2o10b2o9b2o94b3o$250bobo117bobo19bobo71bo2bo20bobo95bo$251bobo
117bobo18bo73bo2bo21bobo93bo20bo$252bo119bo89b3o2b2o23bo114bobo$133b3o
328bo22bo119bobo3b2o$135bo327bo23bo120bo4b2o$134bo352bo$344bo$344b2o
151b2o$343bobo150bo2bo116b2o$496bo2bo116bobo$375b2o120b2o117bo$374bobo
7b2o$376bo6b2o114b2o$385bo113bobo$499bo$355b3o$357bo$356bo17b2o$374bob
o$374bo!

Also on December 21st, complete: xp6_wccw65qswccz8kq66y2ooma4zwccwem8owcczy41)

Code: Select all

x = 197, y = 58, rule = B3/S23
14bo37bo$15bo34b2o120bo$13b3o35b2o117bobo$171b2o$182bo$obo180bo$b2o
178b3o$bo$149bo16bo$150b2o12bobo20bobo$38bobo108b2o14b2o20b2o$38b2o
148bo$39bo$55bo$55bobo87b2o$55b2o87bobo$146bo$10bo$11b2o$10b2o2$168bo$
167bobo$168bobo$169bobo16bo$141b3o26bo16bo$143bo20bo22b3o$142bo20bobo
9bo$162bobo9bobo$161bobo9bobo$162bo9bobo20bo$148b3o22bo20bo$150bo16bo
26b3o$149bo16bobo$167bobo$168bobo$169bo2$46b2o$45b2o$47bo$191bo$b2o
188bobo$obo188b2o$2bo$18bo$18b2o129bo$17bobo129b2o20b2o14b2o$148bobo
20bobo12b2o$171bo16bo$56bo$55b2o97b3o$55bobo96bo$155bo$165b2o$5b2o35b
3o120bobo$6b2o34bo122bo$5bo37bo!

Incomplete: p4 that appeared on the page of mazing

Code: Select all

x = 43, y = 43, rule = B3/S23
27b2o$26bobo$25bo2bo$25b3o3$29b2o$28bo2bo$27bo2bo$27b3o$28bo$7bo14bo$
6bobo13bo$6bo2bo12bo$3o4bob2o$o2bo4b2o8b3o3b3o$bobo11bo$2b2o11bo6bo$
15bo6bo4bo$22bo4bo$11b3o3b3o7bo2$15bo7b3o3b3o$15bo4bo$15bo4bo6bo$20bo
6bo11b2o$27bo11bobo$16b3o3b3o8b2o4bo2bo$32b2obo4b3o$20bo12bo2bo$20bo
13bobo$20bo14bo$14bo$13b3o$12bo2bo$11bo2bo$12b2o3$15b3o$14bo2bo$14bobo
$14b2o!

Incomplete and harder: p68

Code: Select all

x = 106, y = 35, rule = B3/S23
96b2o$96bo3b2o$94bobo3bo$94b2o5bo$98b4o$21b2o75bo$21bo3b2o59bo14b3o$
19bobo3bo61bo13bo2bo$19b2o5bo58b3o2b2o11b2o$23b4o62bo2bo$7bo15bo65bobo
$7bobo16b3o49b2o4b2o4bo13bo$7b2o17bo2bo48b2o3bobo16bobo$2bo12b2o11b2o
54bo18bobo$obo11bo2bo85bo$b2o11bobo60bo$9b2o4bo13bo45bobo18bo$8bobo16b
obo46bobo16bobo3b2o$9bo18bobo45bo13bo4b2o4b2o$28bo60bobo$2bo85bo2bo$ob
o18bo54b2o11b2o2b3o$bobo16bobo53bo2bo13bo$bo13bo4b2o55b3o14bo$14bobo
11b2o52bo$13bo2bo11bobo48b4o$b2o11b2o12bo50bo5b2o$bo2bo17b2o56bo3bobo$
2b3o16bobo55b2o3bo$7bo15bo59b2o$4b4o$4bo5b2o$5bo3bobo$4b2o3bo$8b2o!

Known half-unix reaction, but I am wondering if a synthesis starting from the p6 domino fountain is possible.

Code: Select all

x = 24, y = 50, rule = B3/S23
2o4bo$obo2bobo$2bo2bob2o$obo2bobo$2o4b2o2b2o$10b3o$18bo2bo$9bo8bo$9bo
7bo4bo$9bo4bobobo2b2o$9bo4bo2bo$9bo$9bo2$10b3o$2o4b2o2b2o$obo2bobo$2bo
2bob2o$obo2bobo$2o4bo11$2o4bo$obo2bobo$2bo2bob2o$obo2bobo$2o4b2o2b2o$
10b3o2$9bo10b2o$9bo9b4o$9bo4bo3bo2bobo$9bo4bo2bobo2b2o$9bo6bobo$9bo7bo
2$10b3o$2o4b2o2b2o$obo2bobo$2bo2bob2o$obo2bobo$2o4bo!

Re: Synthesising Oscillators

Posted: December 23rd, 2022, 4:02 am

by Chris857

Kok's galaxy in 10G, down from 11G. Based on this G2_1 soup around gen 2580.

Code: Select all

x = 216, y = 42, rule = B3/S23
61b3o77b3o$214bo$114bobo78b6ob2o9bo$59bo55b2o22bo55b6ob2o9b3o$42bo15b
obo54bo22bobo61b2o$40b2o17bo79bo55b2o5b2o$41b2o145b3o4b2o5b2o4b3o$119b
o75b2o5b2o$118bobo22bo51b2o$119bo22b2o39b3o9b2ob6o$142bobo40bo9b2ob6o
$184bo$115b3o17$43b2o$42b2o$44bo8$2o$b2o$o!

Re: Synthesising Oscillators

Posted: December 24th, 2022, 10:29 pm

by muzik

A major atrocity: the following period-2 oscillator composed solely of flutter and banana components is known to be synthesizable.

Code: Select all

x = 16, y = 18, rule = B3/S23
2$8bo$6bobo$10bo$4b2o5bo$3bo7bo$13bo$b2o$13b2o$2bo$4bo7bo$4bo5b2o$5bo$
7bobo$7bo!

https://catagolue.hatsya.com/object/xp2 ... 0411/b3s23

However, this oscillator, which is also composed of flutter and banana components arranged in a subtlety different way, does not have a listed synthesis:

Code: Select all

x = 18, y = 18, rule = B3/S23
2$9bo$7bobo$5bo5bo$5bo6b2o$4bo$14bo$2b2o$14b2o$3bo$13bo$4b2o6bo$6bo5bo
$8bobo$8bo!

https://catagolue.hatsya.com/object/xp2 ... 0211/b3s23

The mere existence of this inconsistency is sinful, to say the least of it. Perhaps someone brave enough to set this right can bring justice to the world of oscillator syntheses?

Re: Synthesising Oscillators

Posted: December 25th, 2022, 12:39 am

by confocaloid

muzik wrote: December 24th, 2022, 10:29 pm However, this oscillator, which is also composed of flutter and banana components arranged in a subtlety different way, does not have a listed synthesis:
Code: Select all
x = 18, y = 18, rule = B3/S23
2$9bo$7bobo$5bo5bo$5bo6b2o$4bo$14bo$2b2o$14b2o$3bo$13bo$4b2o6bo$6bo5bo
$8bobo$8bo!
https://catagolue.hatsya.com/object/xp2 ... 0211/b3s23

Possible in 36G (28 + <= 8 cleanup), based on this soup:

Code: Select all

x = 255, y = 112, rule = B3/S23
167bo$168b2o$167b2o$18bo$19bo$17b3o$74bo$74bobo$74b2o4$30bo$31b2o$30b
2o$77bobo$77b2o$78bo3$99bo$99bobo$99b2o2$65bo186bobo$12bo51bo187b2o$
13b2o49b3o186bo$12b2o$4bo$5bo35bobo$3b3o21bobo12b2o30bo$28b2o12bo29b2o
100bo46bobo$28bo44b2o100b2o44b2o$90bobo81b2o46bo$90b2o$91bo$193b2o$
192bo2bo$23bo168bobo$21bobo169bo$22b2o2$199b2o$199b2o$75bo$73b2o133bo$
74b2o112b3o17bo$208bo2$198bo17b2o$198bobo14bo2bo$196bo5bo13bobo$194b2o
6bo14bo$203bo$185b2o6bo$185b2o17b2o$192b2o17b2o$204bo6b2o$194bo$180bo
14bo6b2o$179bobo13bo5bo$26b2o151bo2bo14bobo$27b2o151b2o17bo$26bo$189bo
$189bo17b3o$189bo$78b2o$78bobo116b2o$78bo118b2o3$10bo193bo$10b2o191bob
o$9bobo190bo2bo$27b2o44bo129b2o$28b2o29bo12b2o$27bo30b2o12bobo21b3o$
58bobo35bo78bo46b2o$97bo77b2o44b2o$88b2o84bobo46bo$35b3o49b2o$37bo51bo
$36bo2$b2o141bo$obo141b2o$2bo140bobo3$23bo$23b2o$22bobo$70b2o$69b2o$
71bo4$26b2o$25bobo$27bo$82b3o$82bo$83bo5$229b2o$228b2o$230bo!

Re: Synthesising Oscillators

Posted: December 25th, 2022, 11:41 pm

by Chris857

French kiss in 8G (based on this soup at gen 4552), down from 10G. I found a single 3G recipe for the active region and was lucky to find a 2G cleanup in seeds of destruction.

Code: Select all

x = 114, y = 40, rule = B3/S23
3bo$4b2o$3b2o90bobo$96b2o$96bo3$25bo$25bobo$25b2o2$36bo50b2o$34b2o51b
2o$35b2o$83bo$83bo10b2o$83bo11bo$87b2o6bob2o$87b2o7b2obo$98bo$98bo$97b
ob2o7b2o$98b2obo6b2o$101bo11bo$101b2o10bo$113bo$2o$b2o105b2o$o107b2o2$
10b2o$9bobo$11bo3$100bo$99b2o$32b2o65bobo$31b2o$33bo!

Current synth for reference:

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xp3_17844ozx3442sg costs 10 gliders (true).
#CLL state-numbering golly
x = 46, y = 59, rule = B3/S23
bo$2bo$3o3bo$7b2o33bo$6b2o34bobo$42b2o13$7bo$8bo2bobo$6b3o2b2o$12b
o16$33bo$33b2o2b3o$32bobo2bo$38bo13$2b2o$bobo34b2o$3bo33b2o$39bo3b
3o$43bo$44bo!

A bunch of other predecessors I found that mostly were workable but were more (or equally) expensive than the 10G synth.

Code: Select all

x = 741, y = 307, rule = LifeHistory
121$22.A.A$23.2A$23.A6$699.2A$680.2A17.2A$374.A305.2A$375.A320.2A$
373.3A319.A2.A$395.A300.2A$395.A.A293.2A$395.2A294.2A$348.A348.2A$
346.A.A348.2A$45.A301.2A15.A$46.2A314.A.A307.2A$45.2A316.2A307.2A4.3A
$352.A109.A215.A2.A$353.2A28.D76.2A.2A217.A11.2A$352.2A27.2D.2D292.A
2.A11.A2.A$460.A3.A213.3A13.2A$381.D3.D75.3A$382.3D73.A247.3A$379.D
77.3A171.2A$378.3D75.2A.2A54.2A115.A$377.2D.2D75.5A37.3A13.2A115.3A$
378.5D56.5A54.A2.A123.2A3.2A$360.5D75.2A.2A53.A3.A8.A63.2A47.A2.A3.3A
42.3A$361.2D.2D75.3A53.A2.3A7.2A54.2A6.A.A3.2A42.A2.A4.A$362.3D77.A
55.4A7.A2.A52.2A8.A3.A.A43.2A62.2A13.3A$363.D73.3A68.2A.A54.A.A10.A
52.2A54.A2.A11.A2.A$358.3D75.A3.A68.A.A56.3A8.3A44.A4.A2.A54.2A11.A$
357.D3.D140.2A.A4.A59.A10.A.A41.3A3.A2.A68.A2.A$436.2A.2A60.A3.A62.A.
A3.A8.2A42.2A3.2A70.3A4.2A$357.2D.2D27.2A47.A61.3A2.A62.2A3.A.A6.2A
40.3A84.2A$257.A101.D28.2A108.3A2.2A68.2A51.A$258.2A130.A106.A2.A.3A
121.2A58.2A$257.2A119.2A118.A3.2A182.2A$378.A.A118.A.3A188.2A$378.A
15.2A105.A190.2A$394.A.A290.2A$394.A291.A2.A$279.A66.2A339.2A$279.A.A
63.A.A355.2A$85.A193.2A66.A336.2A17.2A$86.2A279.3A314.2A$85.2A203.A
76.A$269.D18.2A78.A$269.2D18.2A$268.D.D$268.D$107.A158.3D$107.A.A156.
3D$107.2A157.D2.D$267.3D6.D$118.A149.D6.3D$97.D18.2A157.D2.D$97.2D18.
2A157.3D$96.D.D177.3D$96.D179.D$94.3D177.D.D$94.3D157.2A18.2D$94.D2.D
157.2A18.D$95.3D6.D149.A$96.D6.3D$103.D2.D157.2A$104.3D156.A.A$104.3D
158.A$104.D500.A$102.D.D445.2A51.A.A$82.2A18.2D336.2A58.2A47.A2.A51.
2A4.2A$83.2A18.D336.2A58.2A48.2A58.2A$82.A203.2A328.2A$285.2A94.3A
224.2A5.A3.A$92.2A193.A92.A3.A221.A3.A5.A$91.A.A285.A5.A45.A109.A68.A
5.A3.A$93.A281.A3.A5.A44.A.A58.2A47.A.A64.A3.A5.2A$374.A.A2.A5.A44.A.
A58.2A47.A.A66.2A$375.2A3.A3.A46.A109.A73.2A$381.3A58.A59.A49.A62.2A
4.2A$441.A.A57.A.A47.A.A67.A.A$114.2A324.A3.A55.A3.A45.A3.A66.A$113.
2A274.A50.A3.A55.A3.A45.A3.A$115.A272.A.A49.2A.2A55.2A.2A45.2A.2A$
383.A4.A.A$382.A.A4.A300.A.A$382.A.A65.2A.2A55.2A.2A45.2A.2A124.A2.A$
383.A66.A3.A55.A3.A45.A3.A124.A2.A$450.A3.A55.A3.A45.A3.A125.2A$451.A
.A57.A.A47.A.A$389.3A60.A59.A49.A$388.A3.A3.2A65.A109.A116.2A$387.A5.
A2.A.A63.A.A57.2A48.A.A$387.A5.A3.A64.A.A57.2A48.A.A111.4A2.A$387.A5.
A69.A109.A111.2A.A.3A$388.A3.A292.2A.A$389.3A295.A$689.3A$453.2A58.2A
48.2A124.3A$453.2A58.2A47.A2.A40.2A80.A.A.A$563.2A41.2A2.2A76.A.A.2A$
610.2A77.2A.A$616.2A71.2A$608.2A5.A3.A$606.A3.A5.A$610.A5.A3.A$607.A
3.A5.2A$609.2A$615.2A$265.A349.2A2.2A$265.2A352.2A$154.2A108.A.A$153.
2A109.A$155.A106.3A$262.3A$262.A2.A$263.3A6.A$264.A6.3A$271.A2.A$272.
3A$272.3A$272.A$270.A.A$270.2A$271.A4$369.3A$177.A191.A$176.2A190.3A$
176.A.A2$372.A67.3A65.3A$370.2A68.A7.A59.3A$372.3A65.A.A4.3A6.2A51.A$
371.A3.A65.2A4.2A6.A2.A38.3A11.A4.A$371.A2.A8.A72.2A38.A3.A9.3A2.A.A$
371.A8.A2.A51.2A60.A.A2.3A9.A3.A$379.A3.A50.A2.A6.2A4.2A46.A4.A11.3A$
380.3A52.2A6.3A4.A.A52.A$383.2A59.A7.A51.3A$382.A67.3A51.3A3$384.3A$
385.A$383.3A!

xp2_4k1vg4czw1246 (used in the synth of Fire-spitting in 14G from soup, down from 18G.

Code: Select all

x = 317, y = 98, rule = B3/S23
161bo$159bobo$160b2o37$240bo$240bobo$240b2o16$87bo6b2o3bo114b2o3bo$34b
o50bobo5bo2bobobo112bo2bobobo$34bobo49b2o6b2o3b2o113b2o3b2o$34b2o2$31b
2o182bo$30b2o182bobo$32bo181bo2bo77b2o$215b2o78b2o2$302b2o$289b3o3b2o
4bobo$291bo3b2o6bob2o$100b3o187bo9b2obo2bo7b2o$100bo202b2o8bo2bo$2o99b
o200bo11b2o$b2o300bobo$o303b2o2$314b3o$235b2o79bo$234b2o79bo$236bo3b3o
$240bo$212bo28bo$212b2o$211bobo11$190b3o$192bo44b2o$191bo44b2o$238bo!

Re: Synthesising Oscillators

Posted: December 26th, 2022, 2:33 am

by Chris857

Not an improvement, but another 7G synth for Two eaters.

Code: Select all

x = 94, y = 38, rule = B3/S23
91bobo$91b2o$92bo7$26bo$25bo$25b3o$obo$b2o$bo73bo$76b2o$75b2o2$82b2o$
82b2o$73bo$72bobo$73bo6$7b2o58b2o$8bo59bo$5b3o57b3o$5bo59bo4$27b2o$26b
2o$28bo!

Re: Synthesising Oscillators

Posted: December 26th, 2022, 3:10 am

by dl-rs

!!

Code: Select all

x = 26, y = 26, rule = B3/S23
14bo$12b5o$11b2o$11bo$7b2o3b2o$8b2o3b3o$7bo2bo$8b2o9bobo$8bo8b2ob2o$b
o16bobo$bo3bo13bo$2o3bo16b2o$bo2b2o15bob2o$b2obo15b2o2bo$2b2o16bo3b2o
$6bo13bo3bo$5bobo16bo$4b2ob2o8bo$4bobo9b2o$15bo2bo$10b3o3b2o$12b2o3b2o
$14bo$13b2o$9b5o$11bo!

Edit: is this known?

Code: Select all

x = 13, y = 22, rule = B3/S23
$4bo$3b3o$2b2ob2o$3b3o$4bo2$8b3o$4bo3bo2bo$3bobo2bo2bo$4b3o3bo$5b3o$4b
3o3bo$3bobo2bo2bo$4bo3bo2bo$8b3o2$4bo$3b3o$2b2ob2o$3b3o$4bo!

Code: Select all

x = 14, y = 16, rule = B3/S23
2$7bo$6bobo$5b2obo$4bob2ob2o$3b3o2bo2bo$2bo2bo2b3o$3b2ob2obo$5bob2o$5b
obo$6bo$9b2o$9bo$8bobo$9bo!

Re: Synthesising Oscillators

Posted: December 26th, 2022, 3:37 pm

by Chris857

xp2_0ml1ik8z1259a6 (wiki listing) in 17G from soup.

Code: Select all

x = 145, y = 73, rule = B3/S23
59bobo$59b2o$60bo12$13bo$14bo$2bo9b3o$obo51bo$b2o50bo$53b3o2$14bo$15b
o$13b3o36bobo$52b2o11bobo$53bo11b2o$66bo5$131bo$132bo$49bo80b3o$47b2o
88bo$48b2o86bobo$137bo8$126bo5bo$127bo3bobo$125b3o3bobo$132bo7b2o$139b
o2bo$139b2o2bo$144bo$139b2ob2o$138bob2o$139bo2b2o$133bo6bo2bo$70bo61b
obo6b2o$69b2o61bo2bo$4b2o63bobo61b2o$3bobo$5bo121b3o$13b2o49bo64bo$14b
2o47b2o63bo$13bo49bobo2$48b3o$48bo$49bo4$56b2o$55b2o$57bo!

xp2_g8j1cdj8gz01cb38c1 in 12G from symmetrical soup.

Code: Select all

x = 53, y = 73, rule = B3/S23
50bobo$50b2o$51bo2$10bo$8bobo38bo$9b2o38bobo$49b2o7$43bobo$43b2o$44bo
$49bobo$49b2o$50bo$7bo$5bobo$6b2o28$45b2o$45bobo$45bo$2bo$2b2o$bobo$8b
o$8b2o$7bobo7$2b2o$bobo38b2o$3bo38bobo$42bo2$bo$b2o$obo!

Duodecapole in 16G from gen 144 of this symmetrical soup, down from 20G.

Code: Select all

x = 71, y = 95, rule = B3/S23
67bo$66bo$66b3o$6bo$7bo$5b3o4$52bobo$52b2o$53bo$65bobo$65b2o$66bo$18b
obo$19b2o$19bo4$43bo$obo40bobo$b2o40b2o$bo9$12bo$13bo$11b3o24$57b3o$57b
o$58bo9$69bo$26b2o40b2o$25bobo40bobo$27bo4$51bo$50b2o$50bobo$4bo$4b2o
$3bobo$17bo$17b2o$16bobo4$63b3o$63bo$64bo$2b3o$4bo$3bo!

xp2_069baa4zc813 in 8G from soup, down from 14G.

Code: Select all

x = 84, y = 32, rule = B3/S23
81bo$80bo$20b3o57b3o2$4bo$5bo69b2o$3b3o68bo2bo$74bobo$75bo5$81bo$80bo
bo$80bobo$77b2obob2o$77b2obo2bo$75b2o4b2o$75b2o3$10b2o$9bobo22b2o$11b
o22bobo$34bo3$bo$b2o8b2o$obo7bobo$12bo!

2022-12-27:
xp2_253gv1og26 in 10G from soup, down from 11G.

Code: Select all

x = 114, y = 61, rule = B3/S23
bo$2bo$3o13$21bo$22bo$20b3o8$108bo$109bo$107b3o$57bo$56b2o$56b2o54b2o
$56bo55b2o5$104b2ob2o$103bobobo3b2o$104bo2bo3b2o$107bob2o$106b2ob2o13$
70bo$69b2o$69bobo$23bo5bo$23b2o4b2o$22bobo3bobo38b2o$69bobo$69bo!

Blinkers bit pole in 11G from soup, down from 13G.

Code: Select all

x = 107, y = 46, rule = B3/S23
4bo$5b2o$4b2o24bo$31bo$29b3o4$79bo$80bo$78b3o3$35bo$34bobo47b2ob2o2bo
$34bobo47b2obobobo$35bo55bo$89bo$91bo13bo$87b2o3bo11bo$89bob2o11b3o3$
99b3o7$b2o$obo$2bo4b2o$6bobo$8bo2$36b3o$36bo$37bo$10b2o$11b2o$10bo2$34b
2o$33b2o$35bo!

2022-12-28:
bipole trans-tie bipole in 12G, down from 14G. I just took the current synth, advanced it forward 91 gens until we had four active regions that cleanly made the pattern to avoid cleanup, and found 3G synths for each region.

Code: Select all

x = 96, y = 76, rule = B3/S23
15bo$13bobo67bo$14b2o65b2o$82b2o3bo$86bo$86b3o3$9bo$7bobo$8b2o2$87bo7b
o$85b2o6b2o$86b2o6b2o47$2o6b2o$b2o6b2o$o7bo2$86b2o$86bobo$86bo3$7b3o$
9bo$8bo3b2o$13b2o65b2o$12bo67bobo$80bo!

Current synth for reference:

Code: Select all

x = 79, y = 49, rule = B3/S23
12$34bo29bobo$34bobo27b2o$34b2o29bo$28bo$26bobo$27b2o$57bo$55b2o$36bo
19b2o$34bobo$35b2o$58b2o$57b2o$59bo$38bo$39b2o$38b2o$61b2o$61bobo$40b
2o19bo$41b2o$40bo$69b2o$69bobo$69bo$32bo29b2o$32b2o27bobo$31bobo29bo!

xp2_caab9iczw32 in 9G, down from 12G by taking the current synth and directly constructing the two pi's instead of using an intermediate block and finding a 1G cleanup down from 2G.

Code: Select all

x = 57, y = 72, rule = B3/S23
bo$2bo$3o3$56bo$54b2o$55b2o2$15bo$16b2o$15b2o14$7bo5bo$8b2o4b2o$7b2o4b
2o14$43b2o$43b2o20$55bo$54b2o$54bobo5$50bo$49b2o$49bobo!

xp2_0c4ocb0sz70q6346 in 22G from symmetrical soup.

Code: Select all

x = 332, y = 116, rule = B3/S23
329bobo$329b2o$330bo7$313bobo$313b2o$314bo18$151bo$150bo$138bobo9b3o119b
o$138b2o130bobo$139bo131b2o5bobo$279b2o$117bo161bo18bo$115bobo179bo$116b
2o179b3o$50bo$48b2o$5bo43b2o$3bobo$4b2o4$276b2o6b2o$276b2o6b2o4$44b2o
98b2o148b2o$44b2o98b2o148b2o3$39bo99bo149bo$39bo99bo149bo$39bo99bo149b
o$128bo149bo$128bo149bo$128bo149bo3$122b2o148b2o$122b2o148b2o4$282b2o
6b2o$282b2o6b2o9$150b2o116b3o$150bobo117bo$150bo118bo18bo$287b2o$128b
o158bobo5b2o$128b2o165bobo$2o113b3o9bobo165bo$b2o114bo$o115bo18$253bo
$253b2o$252bobo7$237bo$237b2o$236bobo!

2022-12-31:
Achim's p8 in 8G (from gen 539 of this soup), down from 9G.

Code: Select all

x = 54, y = 58, rule = B3/S23
44bo$43bo$bo41b3o$2bo$3o4bobo$8b2o$8bo5$bo$2bo36bo$3o36bobo$39b2o35$51b
3o$51bo$52bo$39bo$38b2o$38bobo$6b2o$7b2o$6bo!

iNoMed on Discord posted this other 8G synth for Achim's p8

Code: Select all

x = 45, y = 48, rule = B3/S23
44bo$42b2o$43b2o19$12b2o$11bo2bo17bo$12b2o16b2o$21b3o7b2o6$29bo$29b2o$
28bobo5$36b2o$35b2o$37bo6$3o$2bo$bo!

Antiphase why bother in 9G tied with current best. Cheaper cleanup or replacing the block with a glider could pull it to 8G, but I couldn't figure it out.

Code: Select all

x = 187, y = 61, rule = B3/S23
123bo$123bobo$123b2o7$7bobo161bo$8b2o160bobo$8bo162bobo$168b2obo$171b
ob2o$169bobo$2o78b2o13bo74bobo$2o6bo71b2o6bo5bobo74bo$8bo79bo6b2o$8bo
79bo3$22b3o160b2o$22bo162b2o$23bo157b2o$180bo2bo$181b2o2$102b3o$102bo
$103bo4$178b2o$177bobo$179bo23$132b2o$132bobo$132bo!

Re: Synthesising Oscillators

Posted: January 1st, 2023, 12:14 pm

by muzik

Anyone know a way to phi-spark this cloverleaf predecessor to give a currently unsynthesized p4?

Code: Select all

x = 16, y = 15, rule = B3/S23
2$6bo$6b2o$5bo2bo$bo4bobo4b2o$bob2ob2o4bo2bo$4bo7bo2bo$bob2ob2o4bo2bo$
bo4bobo4b2o$5bo2bo$6b2o$6bo!

Re: Synthesising Oscillators

Posted: January 1st, 2023, 4:48 pm

by mniemiec

muzik wrote: January 1st, 2023, 12:14 pmAnyone know a way to phi-spark this cloverleaf predecessor to give a currently unsynthesized p4? ...

It's easy to use the current best Cloverleaf synthesis, as it uses the same predecessor, for a total of 8 gliders. Once can also do the same on both sides; unfortunately, most Cloverleaf predecessors form from a large plume on one side, making that side unmodifiable. This can be made to work from an earlier synthesis, however - for a total of 16 gliders.

Code: Select all

x = 142, y = 142, rule = B3/S23
113bo$113bobo$113boo$111bo$110bobo$110bobo$111bo3$22bo$23boo$22boo$27b
o$26bo$26b3o79boo3boo$107bobbobobbo$107bobooboobo$106boo7boo$108bobobo
bo$106boo7boo$107bobooboobo$107bobbobobbo$108bobobobo$109bo3bo$25bo$
24boo$24bobo22$55bo$54boo$54bobo4$bboo$bobo$3bo$62bo$61boo$61bobo$3o$
bbo$bo13$92bo$93bo$91b3o$130bobo$130boo$131bo$94bo$92bobo$93boo6$83bo
55bo$81bobo55bobo$82boo55boo10$100bo21bo$101bo19bo$99b3o19b3o$$26bo9bo
$27bo7bo63boo7boo3boo7boo$25b3o7b3o62boo6bobobobo6boo$21b3o15b3o57bo
10bobo10bo$23bo15bo68bobobobo$22bo17bo67boo3boo23$93boo$92bobo$94bo$
131bo$130boo$130bobo$91b3o$93bo$92bo!

Re: Synthesising Oscillators

Posted: January 2nd, 2023, 1:30 am

by Chris857

xp3_ok4r2arz622611 (the current cheapest Loading dock variant in 10G (from gen 1236 of this soup and finding a 1G replacement to the blinkers), down from 13G.

Code: Select all

x = 100, y = 60, rule = B3/S23
27bo$26bo$26b3o7$19bo$18bo$18b3o2$2bo$3b2o$2b2o$18bo$18bobo75bo$18b2o
77bo$95b3o3$99bo$99bo$99bo2$94bo2bo$94b4o$92b2o$91bo3b3o$91b3o3bo$95b
2o$91b4o$91bo2bo2$89bo$89bo$89bo3$91b3o$9b2o80bo$8bobo81bo$10bo$25b2o
$24b2o$26bo2$8b3o$10bo$9bo7$3o$2bo$bo!

Six Ls in 17G from this soup, down from 18G.

Code: Select all

x = 131, y = 154, rule = B3/S23
130bo$128b2o$129b2o21$120bo$118b2o$119b2o9$94bo$30bobo59b2o$31b2o60b2o
$31bo7$89bo$88bo$88b3o12$65bo$66bo18bobo$64b3o18b2o$86bo12$63bo$63bo$
63bo3$67bo$67bo$67bo12$44bo$44b2o18b3o$43bobo18bo$65bo12$40b3o$42bo$41b
o7$99bo$36b2o60b2o$37b2o59bobo$36bo9$10b2o$11b2o$10bo21$2o$b2o$o!

Re: Synthesising Oscillators

Posted: January 3rd, 2023, 11:58 am

by GUYTU6J

Nothing new here, just perhaps forgotten.
It looks like someone have submitted a large number of barberpole syntheses to catagolue (I cannot check when because textcensus backups for synthesis-costs/xp2 like this gives a 500 Server Error to me) by repeatedly applying the following 4-glider length+1 component.

Code: Select all

x = 16, y = 19, rule = B3/S23
11bo$5bobo3bobo$6b2o3b2o$6bo2$14bo$13b2o$13bobo2$3b2o$4bo$bobo$o$2o3$
10b3o$10bo$11bo!

However, in terms of reaction time and envelope size, that one is worse than the following component, which has not yet appeared on catagolue:

hkoenig wrote: June 4th, 2018, 12:46 am Here's one, source unknown, that takes only 9 generations:
Code: Select all
x=20, y=27
15bobo$15b2o$16bo3$16bobo$b2o13b2o$bo15bo$2bobo$5bo$4b2o2$9bobo$2o7b2o$b2o2b
2o3bo$o5b2o4b2o$5bo6bobo$12bo4$2b2o$3b2o$2bo$17b3o$17bo$18bo!

Also, a joining reaction by Martin Grant enables a 20-glider length+8 component, which starts to reduce cost from the one based on decapole:

Code: Select all

x = 266, y = 37, rule = B3/S23
247bo$248bo$246b3o2$258bo$88bo167b2o$87bo155bobo11b2o$87b3o154b2o$84bo
159bo$18bobo61bobo$18b2o63b2o$19bo119b2o58b2o58b2o$85bo54bo46bo12bo59b
o$85bobo49bobo45bobo9bobo57bobo$85b2o43bo55b2o62bo$75b2o51bobo4bobo53b
o3bobo51bobo3bobo$74bobo52b2o3bo55bobobo55bobobo10bo$74b2o58b2o47b3o5b
2ob2o6bo48b2ob2o7b2o$17b3o165bo15bo39b2o21b2o$11b2o4bo53b2o58b2o51bo6b
2ob2o5b3o38b2o7b2ob2o$12bo5bo53bo59bo3b2o54bobobo44bo10bobobo$9bobo57b
obo57bobo4bobo50bobo3bo53bobo3bobo$136bo62b2o55bo$7bobo12b3o42bobo57bo
bo57bobo9bobo45bobo$22bo176bo$5bobo15bo41bobo57bobo57bobo57bobo2$3bobo
57bobo57bobo57bobo57bobo$262bo$bobo57bobo57bobo57bobo57bobo17b2o$o59bo
59bo59bo59bo7b2o11bobo$2o58b2o58b2o58b2o58b2o7b2o$248bo2$258b3o$258bo$
259bo!

Note that this does not answer a question from MathAndCode about merging two tied barberpoles.

Re: Synthesising Oscillators

Posted: January 4th, 2023, 1:40 am

by dani

ship-tie-boats fumarole from 9G->8G because the cleanup wasn't optimal, and used 2G for the left fleet instead of 1G:

Code: Select all

x = 65, y = 52, rule = B3/S23
o$b2o$2o8$57bo$55b2o$56b2o15$17bobo$18b2o$18bo3bobo$22b2o$23bo12$63b2o
$41b2o19b2o$41bobo20bo$41bo$54b2o$54bobo$54bo5b2o$60bobo$60bo!

Re: Synthesising Oscillators

Posted: January 15th, 2023, 11:45 am

by GUYTU6J

The recent xp18_w39c8a6zca6025b8oy1ggzsy31il30f4hozw222x321 in this post

Code: Select all

x = 981, y = 36, rule = B3/S23
900bo$899bo65bo$899b3o61b2o$806bo147bobo7b2o$804bobo148b2o$476bo328b2o
87bo60bo$476bobo320bo9bo83bo$476b2o322bo7bo84b3o$472bo325b3o7b3o$473b
2o233bo259bo$472b2o232bobo174b2o78b2o3bo$707b2o104bo68bobo77bobo3bo$
636b2o78b2o77b2o16bobo59b2o6bo71b2o6bo$395bobo150bo8b2o77bobo71b2o4bob
o76bo2bo14b2o60bo2bo18b3o55bo2bo11b3o$396b2o79bo71bo6bobo79bo72b2o5bo
78b2o78b2o18bo59b2o$obo77bobo77bobo77bobo77bobo73bo3bobo73bobobobo64b
3o6bobobobo75bobobo67bo4bo2bobobo75bobobo13b3o59bobobo15bo59bobobo$2ob
o76b2obo76b2obo76b2obo76b2obo76b2obo73b2ob2obo73b2ob2obo72bobob2obo70b
obobob2obo72bobob2obo12bo59bobob2obo72bobob2obo14bobo$3bo79bo79bo79bo
79bo79bo79bo67bo11bo72b2o5bo70bo2bo5bo72b2o5bo13bo58b2o5bo6b2o64b2o5bo
6b2o6b2o$3b3o77b3o77b3o77b3o77b3o77b3o77b3o65b2o10b3o77b3o69b2o6b3o77b
3o77b3o3bobo71b3o3bobo7bo$6bo79bo79bo79bo79bo79bo79bo63bobo13bo67bo11b
o79bo79bo79bo3bo75bo3bo$5bo79bo79bo79bo79bo79bo79bo79bo62bobo2b2o10bo
79bo79bo79bo79bo$5b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o62b2o2bobo9b2o
78b2o78b2o6b2o70b2o78b2o$629bo183bobo$85b2o8bo69b4o76b4o76b4o76b4o76b
4o76b4o76b4o76b4o76b4o4bo71b4o76b4o$7b2o76bobo6bo70bo2bo75bo4bo74bo4bo
74bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo$6b2o78bo7b3o
69b2o76b2o2b2o73bobo2b2o74b2o3bo74b2o3bo74b2o3bo74b2o3bo74b2o3bo74b2o
3bo74b2o3bo74b2o3bo7b2o$8bo231bo82bo2bo81b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o6b2o$92bo148b2o81b2o652bo$91b2o147b2o$91bobo68b2o163bo$163b
2o162b2o$162bo77b2o84bobo$166b2o71b2o$166bobo72bo88b3o$166bo163bo$331b
o!

And the related p30

Code: Select all

x = 274, y = 33, rule = B3/S23
142bo$142bobo85bobo$142b2o87b2o$231bo4$129bobo119b2o$129b2o120bobo$22b
2o3b2o101bo11b2o3b2o83b3o17b2o8b2o3b2o$22bobobobo113bobobobo85bo27bobo
bobo$24bobo100bo16bobo86bo30bobo$2bobo14bo11bo96b2o9bo11bo107bo11bo$3b
2o12bo2bobo5bobo2bo93b2o8bo2bobo5bobo2bo103bo2bobo5bobo2bo$3bo13bo3b2o
5b2o3bo103bo3b2o5b2o3bo69b2o27b3o2bo3b2o5b2o3bo$17bo2bobo5bobo2bo103bo
2bobo5bobo2bo68bobo32bo2bobo5bobo2bo$19bo11bo107bo11bo72bo34bo11bo$24b
obo109bo7bobo109bo7bobo$8b2o12bobobobo105bobo5bobobobo105bobo5bobobobo
$7bobo3b3o6b2o3b2o93bo12bobo4b2o3b2o106bobo4b2o3b2o$9bo3bo108b2o11bo
119bo$2o12bo106bobo$b2o$o2$211bo$12b2o197b2o$13b2o195bobo$12bo2$19b2o$
18b2o$20bo!

The fancy cap for the period-156 glider gun

Code: Select all

x = 447, y = 60, rule = B3/S23
299bo$297bobo$298b2o$423bo$423bobo$423b2o$136bo281bo$137bo278bobo$135b
3o99b2o62bo35b2o62b2o14b2o18b2o$26bo210b2o63bo34b2o62b2o34b2o$27b2o12b
o97bo160b3o$26b2o11b2o98bobo198b2o56b2o40b2o$40b2o88bo8b2o89bo7b2o3bo
53b2o10bo20bo9b2o56b2o9bo20bo9b2o$129bobo74bobo20bobo6b2o3bobo50bobo9b
obo18bobo76bobo18bobo$129bobo70bo3b2o21bobo11b2o53bo9bobo18bobo76bobo
10bo7bobo$125b2o3bo72bo3bo17b2o3bo78bo15b2o3bo78bo12b2ob2o3bo$29bobo
93b2o74b3o21b2o98b2o94b2o2b2o$29b2o$24bobo3bo104b2o98b2o66b2o30b2o66b
2o30b2o$25b2o107bo2bo96bo2bo64bo2bo28bo2bo64bo2bo28bo2bo$25bo109b2o98b
2o66b2o30b2o66b2o30b2o3$133b2o98b2o98b2o98b2o$133b2o98b2o98b2o98b2o10b
o$444bo$397bo36bo9b3o$398bo34b2o$396b3o34bobo$2bo44bo$obo43b2o$b2o35b
2o6bobo355bobo34b3o$7bo29b2o366b2o34bo$7bobo29bo353b3o9bo36bo$7b2o386b
o$105b2o98b2o98b2o87bo10b2o$105b2o98b2o98b2o98b2o3$3b2o98b2o98b2o98b2o
30b2o66b2o30b2o$2bo2bo10bo85bo2bo96bo2bo96bo2bo28bo2bo64bo2bo28bo2bo$
3b2o10bo87b2o98b2o98b2o30b2o66b2o30b2o$15b3o$113b2o98b2o21b3o74b2o98b
2o2b2o$9bo99bo3b2o94bo3b2o17bo3bo72bo3b2o15bo78bo3b2ob2o12bo$8bobo97bo
bo84b2o11bobo21b2o3bo70bobo18bobo9bo66bobo7bo10bobo$8bobo97bobo83bobo
3b2o6bobo20bobo74bobo18bobo9bobo64bobo18bobo$9bo8b3o78b2o8bo86bo3b2o7b
o88b2o9bo20bo10b2o55b2o9bo20bo9b2o$18bo79bobo197b2o98b2o40b2o$19bo80bo
236b3o$201b2o98b2o34bo63b2o34b2o$102b3o96b2o98b2o35bo62b2o18b2o14b2o$
102bo318bobo$103bo317bo$415b2o$414bobo$416bo$340b2o$340bobo$340bo!

p120 honey farm hassler (EDIT: no, the last submission failed as indicated by job log, so the second and third steps should be combined)

Code: Select all

x = 428, y = 68, rule = B3/S23
178bo$177bo$177b3o2$391bobo$381bo9b2o$379bobo10bo$380b2o2$12bo$13b2o
380bo$12b2o152bo122b2o94bo8bo14b2o$2bo161b2o14bobo106bo2bo90bobo8b3o
12bo2bo$obo153bobo6b2o13b2o202b2o$b2o154b2o22bo$157bo131bob2o116bob2o$
284b2o2bobo113b2o2bobo$166b2o116bo4bo114bo4bo$166bobo119bo95bo23bo$
132bo2bo30bo85bo2bo29bo2bo83bo2bo9bo19bo2bo16bo$135bo119bo119bo7b3o38b
o$131bo4bo114bo4bo114bo4bo21bo25b3o$131b2o2bobo113b2o2bobo113b2o2bobo
21bo$18bo117bob2o116bob2o116bob2o17b3o11bo7bo$17bo393bobo4bo$11bobo3b
3o391b2o5b3o$12b2o122bo2bo116bo2bo116bo2bo$12bo123b2o118b2o118b2o4$
426b2o$382b2o41b2o$13b2o366bobo43bo$14b2o367bo35b2o$13bo358bo46bobo$
298bo71bobo46bo$296b2o73b2o35bo$297b2o65bo43bobo$365b2o41b2o$364b2o4$
299bo114b2o$298b2o112bo2bo$292b3o3bobo70b3o5b2o$294bo78bo4bobo$293bo
78bo7bo11b3o17b2obo$392bo21bobo2b2o$365b3o25bo21bo4bo$367bo38b3o7bo$
23bo2bo116bo2bo116bo2bo99bo16bo2bo19bo9bo2bo$23bo119bo119bo119bo23bo$
22bo4bo114bo4bo114bo4bo114bo4bo$21bobo2b2o113bobo2b2o113bobo2b2o113bob
o2b2o$19b2obo116b2obo116b2obo116b2obo$309b2o$309bobo94b2o$19bo2bo116bo
2bo116bo2bo46bo69bo2bo12b3o8bobo$21b2o118b2o118b2o35b2o81b2o14bo8bo$
297b2o97bo$299bo2$410b2o$399bo10bobo$399b2o9bo$398bobo!

p18 two-glider octomino hassler

Code: Select all

x = 127, y = 46, rule = B3/S23
44bo$39bo4bobo$37b2o5b2o$38b2o2$23b2o78b2o8bo7bobo$19b2obobo74b2obobo
6b3o7b2o$20bobo77bobo7bo11bo$20bob2o76bob2o6b2o$17b2obo76b2obo$17bo2b
4o16bo56bo2b4o$18b2o3bo10b3o2b2o57b2o3bo$20b3o11bo4bobo58b3o$20bo14bo
64bo$18bobo77bobo$18b2o78b2o3$102b2o$101bobo8b3o$101bo10bo5b3o4bo$100b
2o11bo4bo5b2o$119bo4bobo$105b3o$107bo$106bo$18bo$18b2o$17bobo$100b2o$
21b3o77b2o$21bo78bo11bo$22bo83b2o3b2o$105bobo3bobo$107bo2$6b2o$7b2o$6b
o108b3o$115bo$116bo3$b2o$obo$2bo!

A question from December 26 last year: How to complete a synthesis for 69P48? The final steps may be

Code: Select all

x = 264, y = 64, rule = B3/S23
257bo$256bo$256b3o$248bo$246bobo$247b2o2$5bo77bo44bo71bo$6bo3bobo63bob
o3bo46bo69bo$4b3o3b2o65b2o3b3o42b3o69b3o$bo9bo65bo9bo34bo83bo$b2o83b2o
35b2o60b2o17b2o39b2o15b2o$obo65bo17bobo33b2o4bo11bo44bobo12bo4b2o38bob
o13bobo$7b2o3b2ob2o3b2o45bobo2b2ob2o3b2o45bobo2b2ob2o2bobo45bo4b2ob2o
2bobo45bo4b2ob2o4bo$7b2o2bobobobo2b2o45b2o2bobobobo2b2o45b2o2bobobobo
2b2o45b2o2bobobobo2b2o45b2o2bobobobo2b2o$12bo3bo55bo3bo55bo3bo55bo3bo
55bo3bo$7b5o5b5o45b5o5b5o39b2o4b5o5b5o45b5o5b5o4b2o39b5o5b5o$7bo6bo6bo
45bo6bo6bo40b2o3bo6bo6bo45bo6bo6bo3b2o40bo6bo6bo$8b12o48b12o41bo6b12o
48b12o7bo40b12o$6bobo10b2o45bobo10b2o45bobo10b2o45bobo10b2o45bobo10b2o
$6b2o3b6o49b2o3b6o49b2o3b6o49b2o3b6o49b2o3b6o$10bo6bo52bo6bo52bo6bo52b
o6bo52bo6bo$10bo2b4o53bo2b4o53bo2b4o53bo2b4o53bo2b4o$7b2obo3bo52b2obo
3bo52b2obo3bo52b2obo3bo52b2obo3bo$7bo2bobo54bo2bobo54bo2bobo54bo2bobo
54bo2bobo$9b2ob2o55b2ob2o55b2ob2o55b2ob2o55b2ob2o15$257bo$256bo$256b3o
$248bo$246bobo$247b2o2$5bo77bo44bo71bo$6bo3bobo63bobo3bo46bo69bo$4b3o
3b2o65b2o3b3o42b3o69b3o$bo9bo65bo9bo34bo83bo$b2o83b2o35b2o60b2o17b2o
39b2o15b2o$obo65bo17bobo33b2o4bo11bo44bobo12bo4b2o38bobo13bobo$7b2o3b
2ob2o3b2o45bobo2b2ob2o3b2o45bobo2b2ob2o2bobo45bo4b2ob2o2bobo45bo4b2ob
2o4bo$7b2o2bobobobo2b2o45b2o2bobobobo2b2o45b2o2bobobobo2b2o45b2o2bobob
obo2b2o45b2o2bobobobo2b2o$12bo3bo55bo3bo55bo3bo55bo3bo55bo3bo$7b5o5b5o
45b5o5b5o39b2o4b5o5b5o45b5o5b5o4b2o39b5o5b5o$7bo6bo6bo45bo6bo6bo40b2o
3bo6bo6bo45bo6bo6bo3b2o40bo6bo6bo$9b11o49b11o41bo7b11o49b11o7bo41b11o$
8b2o9b2o47b2o9b2o47b2o9b2o47b2o9b2o47b2o9b2o$12b5o55b5o55b5o55b5o55b5o
$11bo5bo53bo5bo53bo5bo53bo5bo53bo5bo$12b5o55b5o55b5o55b5o55b5o$14bo59b
o59bo59bo59bo!