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Nitpick: uncommonness does not imply uselessness. There is always a possibility of some active object X that extremely rarely occurs when evolving random soups, and yet happens to be very versatile/useful as an intermediate bottleneck.hotdogPi wrote: November 14th, 2023, 8:58 am It's just blind luck that it happens to be in three oscillators (the others being 45P25 and Raucci's p102); it's not that common.
A "spaceship made of itself/itselves". A definition from Discord is "multiple copies of one of its phases appear in another one of its phases" ... with "restrictions to get rid of trivial cases", but offhand I can't think of what the trivial cases are, since that seems pretty clear. No zero-population "spaceships", I suppose, but that's really just not a thing anyway.
Code: Select all
x = 4, y = 3, rule = B2in3aijqr4cikqtz5r6n7c8/S2aek3-ae4eiy5ceinr6ain
bo$3o$ob2o!Code: Select all
x = 9, y = 5, rule = B3/S23
6bobo$6b2o$2bo4bo$2o$b2o!
Do you care what period the gun is? It can be hard to guess "smallest" without building a bunch of options. One easy way would be an NW31 attached to some Herschel factory or other, plus a smallest-possible base gun with the Herschel factory's period to provide the leading glider. (I think that would work, without having actually tried it.)TYCF wrote: November 16th, 2023, 2:57 pm What is the smallest gun that produces this arrangement of gliders?Code: Select all
x = 9, y = 5, rule = B3/S23 6bobo$6b2o$2bo4bo$2o$b2o!
I don't know a good answer to that one, besides generating a big list of possible stabilizations of the key catalytic region (using JLS, for example), converting to apgcodes and looking up their glider cost.confocaloid wrote: November 16th, 2023, 4:06 pm If I have a catalyst, how do I find variants of this catalyst with known glider synthesis on Catagolue? E.g. how do I find synthed variants of eater 2?
I do not really care about the period but I would also like to see what is the lowest period.dvgrn wrote: November 16th, 2023, 3:02 pmDo you care what period the gun is? It can be hard to guess "smallest" without building a bunch of options. One easy way would be an NW31 attached to some Herschel factory or other, plus a smallest-possible base gun with the Herschel factory's period to provide the leading glider. (I think that would work, without having actually tried it.)TYCF wrote: November 16th, 2023, 2:57 pm What is the smallest gun that produces this arrangement of gliders?Code: Select all
x = 9, y = 5, rule = B3/S23 6bobo$6b2o$2bo4bo$2o$b2o!
Code: Select all
x = 136, y = 118, rule = B3/S23
52b2o$52b2o12b2obob2o$59bob2obo2bob2o2bo$59b2obob2obo4bobo$67b5obo$63b
2obo4bo6bo9bo37b2o$63b2obobo3bo5b3o5b3o37bo$67bobo3bo7bo3bo16bo21bobo
$68bo3b2o6b2o3b2o13b3o20bobo$99bo19b2o3bo$99b2o18b2o$130b2o$130bobo$60b
2o70bo$60b2o70bob2o$45b2o82b2obob2o$44bo2bo54b2o24bo2bo$43bob2o55b2o25b
2o$43bo$42b2o85b4o$57b2o71bo2bo$57bo70bo3b2o$58b3o67b2o$60bo10b2o$70b
obo11b2o6bo$70bo13b2o6b3o$43b3o23b2o24bo$31b2o12bo3bo44b2o$27b4o4b2o7b
o3bobo$27b3ob2o2b2o12bo7b2o$32bo22bob2o$47b2o5bo$27bo19b3o7bo$27b3o17b
3o3b2obo$30bo22b2o$29b2o10bo$40bobo$25bo14bobo4b2o$24bobo12b2ob2o3b2o
$24bo2bo6bo9bo$23b2obobo5b3o7bo$23bo2bo15bob2o$24b2o3bob2o4bo4b2o2bo$
26b3o4bo2b3o6b2o$24b2o2b2o3bo5bo$23bo2bo5bo5bo$24b2o13bo$35bo2bo6bo2b
ob2obo2bo$35bo9b4ob2ob4o$36bo8bo2bob2obo2bo$33b3o$28b2o$29bo$26b3o$26b
o4$14b2o$14b2o5$18bo$15b6o$6b2o7b2o2b2o$6b2o$16bo$16bo2b2o$15bo3b2o$16b
o$16bobo$17bo2$19bo$2b3o13b2o$b2o2bo11b2o$17b2o$2bo13b3o$2bo2bo16bo$5b
o12bo$3bobo10bobo3b2o$2bo3bo15b3o2bo$2b2o2bo15bo2bobo$bo2b3o17b2o$obo
15b2o4b2o$b2o15b2o$4bo23b2o$bo2bo22b3o$b3o21bob3o$24b4ob2o16bo$24bo2b
3o16bobo$23bob2obo17bobo$24b3o20bo$24b3o$24bo2bo$24b3o$25bo5$36bo$34b
3o15bo$34b4o13b3o$35bobo12bo3bo4b2o$37bo13b2ob2o3b2o$50bobobo$36bo13b
4o$36b2o12bob2o$35b4o13bo$39bo12b2o$33b3o3b2o10b3o$34bo4b2o9bo2bo$34b
obo14b2o$34bobo$34b3o!
TYCF wrote: November 16th, 2023, 5:30 pm [...]
Also, I found this in one of my old posts but I cannot remember where the gun is from.Code: Select all
x = 136, y = 118, rule = B3/S23 52b2o$52b2o12b2obob2o$59bob2obo2bob2o2bo$59b2obob2obo4bobo$67b5obo$63b 2obo4bo6bo9bo37b2o$63b2obobo3bo5b3o5b3o37bo$67bobo3bo7bo3bo16bo21bobo $68bo3b2o6b2o3b2o13b3o20bobo$99bo19b2o3bo$99b2o18b2o$130b2o$130bobo$60b 2o70bo$60b2o70bob2o$45b2o82b2obob2o$44bo2bo54b2o24bo2bo$43bob2o55b2o25b 2o$43bo$42b2o85b4o$57b2o71bo2bo$57bo70bo3b2o$58b3o67b2o$60bo10b2o$70b obo11b2o6bo$70bo13b2o6b3o$43b3o23b2o24bo$31b2o12bo3bo44b2o$27b4o4b2o7b o3bobo$27b3ob2o2b2o12bo7b2o$32bo22bob2o$47b2o5bo$27bo19b3o7bo$27b3o17b 3o3b2obo$30bo22b2o$29b2o10bo$40bobo$25bo14bobo4b2o$24bobo12b2ob2o3b2o $24bo2bo6bo9bo$23b2obobo5b3o7bo$23bo2bo15bob2o$24b2o3bob2o4bo4b2o2bo$ 26b3o4bo2b3o6b2o$24b2o2b2o3bo5bo$23bo2bo5bo5bo$24b2o13bo$35bo2bo6bo2b ob2obo2bo$35bo9b4ob2ob4o$36bo8bo2bob2obo2bo$33b3o$28b2o$29bo$26b3o$26b o4$14b2o$14b2o5$18bo$15b6o$6b2o7b2o2b2o$6b2o$16bo$16bo2b2o$15bo3b2o$16b o$16bobo$17bo2$19bo$2b3o13b2o$b2o2bo11b2o$17b2o$2bo13b3o$2bo2bo16bo$5b o12bo$3bobo10bobo3b2o$2bo3bo15b3o2bo$2b2o2bo15bo2bobo$bo2b3o17b2o$obo 15b2o4b2o$b2o15b2o$4bo23b2o$bo2bo22b3o$b3o21bob3o$24b4ob2o16bo$24bo2b 3o16bobo$23bob2obo17bobo$24b3o20bo$24b3o$24bo2bo$24b3o$25bo5$36bo$34b 3o15bo$34b4o13b3o$35bobo12bo3bo4b2o$37bo13b2ob2o3b2o$50bobobo$36bo13b 4o$36b2o12bob2o$35b4o13bo$39bo12b2o$33b3o3b2o10b3o$34bo4b2o9bo2bo$34b obo14b2o$34bobo$34b3o!
confocaloid wrote: August 31st, 2023, 9:05 am An useless use of SW-7T38Edit: and SW1T43Code: Select all
......Code: Select all
x = 113, y = 87, rule = B3/S23 29b2o$29b2o12b2obob2o$36bob2obo2bob2o2bo$36b2obob2obo4bobo$44b5obo$40b 2obo4bo6bo9bo37b2o$40b2obobo3bo5b3o5b3o37bo$44bobo3bo7bo3bo16bo21bobo$ 45bo3b2o6b2o3b2o13b3o20bobo$76bo19b2o3bo$76b2o18b2o$107b2o$107bobo$37b 2o70bo$37b2o70bob2o$22b2o82b2obob2o$21bo2bo54b2o24bo2bo$20bob2o55b2o 25b2o$20bo$19b2o85b4o$34b2o71bo2bo$34bo70bo3b2o$35b3o67b2o$37bo10b2o$ 47bobo11b2o6bo$47bo13b2o6b3o$20b3o23b2o24bo$8b2o12bo3bo44b2o$4b4o4b2o 7bo3bobo$4b3ob2o2b2o12bo7b2o$9bo22bob2o$24b2o5bo$4bo19b3o7bo$4b3o17b3o 3b2obo$7bo22b2o$6b2o10bo$17bobo$2bo14bobo4b2o$bobo12b2ob2o3b2o$bo2bo6b o9bo$2obobo5b3o7bo$o2bo15bob2o$b2o3bob2o4bo4b2o2bo$3b3o4bo2b3o6b2o$b2o 2b2o3bo5bo$o2bo5bo5bo$b2o13bo$12bo2bo6bo2bob2obo2bo$12bo9b4ob2ob4o$13b o8bo2bob2obo2bo$10b3o$5b2o$6bo$3b3o56bo$3bo57bobo$61bobo$62bo2$57bo$ 56bobo$56bobo$57bo2$52bo$51bobo$51bobo$52bo2$47bo$46bobo$46bobo$47bo2$ 42bo$41bobo$41bobo$42bo2$37bo$36bobo$36bobo$37bo2$32bo$31bobo$31bobo$ 32bo! #C [[ THEME LifeHistory ]]
That use of SW1T43 by confocaloid is certainly going to be cheaper than synchronizing signals from two guns. So pretty much we're looking for the most compact medium-to-high-period Herschel factory to attach directly to SW1T43 -- plus another version for the lowest possible period of the converter, which appears to be 72 ticks:TYCF wrote: November 16th, 2023, 5:30 pmI do not really care about the period but I would also like to see what is the lowest period.
Also, I found this in one of my old posts but I cannot remember where the gun is from...
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x = 67, y = 23, rule = B3/S23
9bo9bo37b2o$9b3o5b3o37bo$12bo3bo16bo21bobo$11b2o3b2o13b3o20bobo$30bo19b
2o3bo$30b2o18b2o$61b2o$61bobo$4bo16bo41bo$2b3o10bobo4b2o39bob2o$2bobo
10bobo4b2o36b2obob2o$2bo13bo4b2o10b2o24bo2bo$19bo2bo2bo7b2o25b2o$19b5o
2bo$18bo6bo34b4o$19b2obobo36bo2bo$19b2ob2o35bo3b2o$21bo37b2o$2b2o$bob
o11b2o6bo$bo13b2o6b3o$2o24bo$25b2o!Generally that's used to mean a still life with n live cells.
Code: Select all
x = 5, y = 5, rule = B3/S23
2bo$bobo$o3bo$o2bo$2o!
That's the I-heptomino sequence.HerscheltheHerschel wrote: November 21st, 2023, 5:31 am What is this called?Code: Select all
x = 5, y = 5, rule = B3/S23 2bo$bobo$o3bo$o2bo$2o!
The baitless G-pi, for the first one.TYCF wrote: November 23rd, 2023, 2:43 am What is the smallest glider to pi-heptomino and the smallest b-heptomino to glider?
Here is the baitless G-to-pi.. The clearance is pretty bad, to the point where it's probably not usable for most purposes. There isn't an elementary G-to-pi that connects to other conduits, as far as I know, so the smallest workable converter might be something like this -- not sure but what I might have forgotten some recent better options for some definitions of "smaller", though:Haycat2009 wrote: November 23rd, 2023, 3:18 amThe baitless G-pi, for the first one.TYCF wrote: November 23rd, 2023, 2:43 am What is the smallest glider to pi-heptomino and the smallest b-heptomino to glider?
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x = 55, y = 34, rule = LifeHistory
29.4B$30.4B7.2A$31.4B5.B2AB$32.4B5.3B$33.4B3.B.B$34.4B.6B$35.10B$4.B
22.2A7.12B$3.3B22.A8.12B$3.4B21.A.AB6.13B$4.4B10.A10.2AB.3B2.15B$5.4B
7.3A12.21B3D$6.4B5.A15.23BD$7.4B4.2A15.20B3D$2A6.9B14.22B$.A7.6B14.
21B$.A.2A5.6B3.B2.2B2.20B$2.A2.A4.19BD15B$3.2AB3.6BC13BDBD4B.7B$4.9BC
BC2B2E9B3D4B2.6B$5.9B2C2B2E11BD4B3.6B$6.29B6.4B$6.17B.4B12.B2A2B$7.
15B3.2B14.2A.B2A$7.15B3.3B16.BA.A$8.13B5.A2B.2A15.A$10.13B2.A.A2B.A
15.2A$9.8B4.2A.A.AB2.A$9.6B6.2ABA4.A$9.5B8.B2.5A.A$9.B.B5.2A.A.2A.A4.
A.A$10.3B4.A.2A.A2.A.2A2.A$9.B2AB11.2A.A.2A$10.2A!Code: Select all
x = 34, y = 28, rule = LifeHistory
4D3.3D2.5D3.D3.5D3.D$D3.D.D3.D.D6.2D5.D4.2D$D3.D.D5.D7.D5.D5.D$4D3.3D
2.3D5.D5.D5.D$D3.D5.D.D7.D5.D5.D$D3.D.D3.D.D7.D5.D5.D$4D3.3D2.5D2.3D
4.D4.3D5$9.2A6.2A$10.A7.A$10.A.2A.3A$11.A.A.A5.2A$13.BA5.A.A$12.4B4.A
$12.6B.2A$12.B2C4B$11.3B2C3B$10.3B2C4B$11.2BC5B$12.3B.4B$17.4B$18.4B$
19.4B$20.4B$21.4B!Also, what is the smallest glider splitter?dvgrn wrote: November 23rd, 2023, 6:20 amHere is the baitless G-to-pi.. The clearance is pretty bad, to the point where it's probably not usable for most purposes. There isn't an elementary G-to-pi that connects to other conduits, as far as I know, so the smallest workable converter might be something like this -- not sure but what I might have forgotten some recent better options for some definitions of "smaller", though:
Along similar lines, I think the smallest B-to-G is still BSE1T1:Code: Select all
x = 55, y = 34, rule = LifeHistory 29.4B$30.4B7.2A$31.4B5.B2AB$32.4B5.3B$33.4B3.B.B$34.4B.6B$35.10B$4.B 22.2A7.12B$3.3B22.A8.12B$3.4B21.A.AB6.13B$4.4B10.A10.2AB.3B2.15B$5.4B 7.3A12.21B3D$6.4B5.A15.23BD$7.4B4.2A15.20B3D$2A6.9B14.22B$.A7.6B14. 21B$.A.2A5.6B3.B2.2B2.20B$2.A2.A4.19BD15B$3.2AB3.6BC13BDBD4B.7B$4.9BC BC2B2E9B3D4B2.6B$5.9B2C2B2E11BD4B3.6B$6.29B6.4B$6.17B.4B12.B2A2B$7. 15B3.2B14.2A.B2A$7.15B3.3B16.BA.A$8.13B5.A2B.2A15.A$10.13B2.A.A2B.A 15.2A$9.8B4.2A.A.AB2.A$9.6B6.2ABA4.A$9.5B8.B2.5A.A$9.B.B5.2A.A.2A.A4. A.A$10.3B4.A.2A.A2.A.2A2.A$9.B2AB11.2A.A.2A$10.2A!
You can answer these kinds of questions yourself by checking the top of the first post in the Elementary Conduits thread and following the link to the latest collection. Currently the link goes to MathAndCode's collection from a few years ago, but with any luck there will be an update soon.Code: Select all
x = 34, y = 28, rule = LifeHistory 4D3.3D2.5D3.D3.5D3.D$D3.D.D3.D.D6.2D5.D4.2D$D3.D.D5.D7.D5.D5.D$4D3.3D 2.3D5.D5.D5.D$D3.D5.D.D7.D5.D5.D$D3.D.D3.D.D7.D5.D5.D$4D3.3D2.5D2.3D 4.D4.3D5$9.2A6.2A$10.A7.A$10.A.2A.3A$11.A.A.A5.2A$13.BA5.A.A$12.4B4.A $12.6B.2A$12.B2C4B$11.3B2C3B$10.3B2C4B$11.2BC5B$12.3B.4B$17.4B$18.4B$ 19.4B$20.4B$21.4B!
Try the one in the Life Lexicon under splitter, or the other one under reflector; also Scorbie Splitter.
If I understand correctly, you could create a block, then push the block as far as needed, and then convert the block into a sideways glider. (The repeat time would not be too good, but the lane of the output glider could be as far as desired from the part of the device that is there in the passive state.)qqd wrote: November 24th, 2023, 2:08 pmIt is possible to make a converter with adjusting output clearance?
Wow, I didn't expect to find twenty prior uses of that word on the forums when I searched for it. It's almost entirely a MathAndCode vocabulary word, but has been picked up by a few other people from time to time.
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x = 47, y = 42, rule = LifeHistory
7.30B8.A$7.15BD14B$7.15BD14B$7.15BD14B5.A$7.30B$7.11B3D3B3D10B$7.30B
2.A$7.15BD14B$7.15BD14B$7.15BD13BA$7.29B$7.28B$7.26BA$7.26B$7.25B$7.
23BA$7.23B$7.22B$7.20BA$7.20B$7.19B$7.17BA$7.17B$7.16B$7.14BA$7.14B$
7.13B$A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A3$15.A29.A$44.2A$
35.2A7.A.A$12.A3.2A17.A.A$17.2A16.A$16.A$9.A3$6.A33.2A$40.A.A$40.A!But can you adjust the clearance without changing the population of the entire converter? You would need some way of specifying how many push operations you need to adjust clearance. One possibility is building a Herschel track which ends with a Herschel loop gun producing streams of gliders that can push a block. Extra gliders with adjustable timing can be used to destroy the Herschel in the loop and activate other circuitry which sends a stream of gliders towards the block that converts it into a sideways glider.confocaloid wrote: November 24th, 2023, 2:14 pmIf I understand correctly, you could create a block, then push the block as far as needed, and then convert the block into a sideways glider. (The repeat time would not be too good, but the lane of the output glider could be as far as desired from the part of the device that is there in the passive state.)qqd wrote: November 24th, 2023, 2:08 pmIt is possible to make a converter with adjusting output clearance?