Discovery
Five 3-engine p45 gliderless LWSS guns, minimum bounding box 51×39
Code: Select all
x = 332, y = 48, rule = LifeHistory
301.2A5.2B$80.2B5.2A55.2A5.2B148.A.A2.BA2B$20.2A5.2B51.4B2.A.A55.A.A
2.4B57.2B5.2A83.A3BABA2B$20.A.A2.4B50.8BA57.A8B56.4B2.A.A78.B6.2BAB2A
B$21.A8B49.7B6.B47.B6.7B55.8BA78.3B5.3B2AB$16.B6.7B50.6B5.3B45.3A5.6B
56.7B6.A73.3A4.6B$15.3B5.6B52.6B4.BAB45.3B4.6B58.6B5.BAB71.A3BA3.B3A
3B$15.3A4.6B52.5B2A3.B3AB43.A3BA3.7B58.6B4.3B71.A3BA3.B3A3B$14.A3BA3.
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6B32.3B4.6B13.6B40.6B3.2BA2B4.6B61.3B4.3BA2BA10.2A$15.3A4.6B7.2A6B2A
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B$15.3B4.7B4.A4BA2BA4BA33.7B5.B4.A4BA2BA4BA29.B6.6B8.A4BA2BA4BA35.7B
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2B.5B$10.2A10.6B5.A4BA2BA4BA27.2A4.7B10.A4BA2BA4BA36.5B9.A4BA2BA4BA
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3B$2.2B5.3B11.4B10.6B23.2B5.3B5.6B14.6B30.B2AB6.5B13.6B29.2A9.5B13.6B
50.2B5.3B10.9B2A2BABABABA2B2A2B$5B.2B2.B2.2B2.2B4.5B8.2B.2B8.2A13.5B.
2B2.B2.2B2.4B.4B10.2B.2B8.2A15.2B5.3B8.6B10.2B.2B8.2A20.B2AB8.7B10.2B
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4A9B3A5BA2BA3BA5BA5B16.8B4A9B3A5BA2BA3BA5BA5B16.21B3A5BA2BA3BA5BA5B
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3B4AB2AB2A2B2A2B17.10B2A8BABA4BA3B4AB2AB2A2B2A2B16.9B2A10BABA4BA3B4AB
2AB2A2B2A2B14.23BABA4BA3B4AB2AB2A2B2A2B44.4B3A3B3A3B3A6B7.2B.2B8.2A$
2.4BA3BA3BA7B3A4BA3BAB3A5B2A2B2AB16.4BA3BA3BA7B3A4BA3BAB3A5B2A2B2AB
16.6B2A2B2A8B3A4BA3BAB3A5B2A2B2AB13.8B2A13B3A4BA3BAB3A5B2A2B2AB43.4B
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2.2B2.B2.2B.ABA2B40.2A8.2B.2B7.5B3.A3B3A2B3A3BA$8.6B6.5B14.3B5.AB23.
6B6.5B14.3B5.AB15.2A8.2B.2B5.5B14.3B5.AB13.A.A7.3BAB7.5B14.3B5.AB50.
6B8.5B4.A2B2A4B2A2BA$6.2A6B2A4.5B13.B2AB28.2A6B2A4.5B13.B2AB30.6B6.5B
13.B2AB20.2A8.2B.2B7.5B13.B2AB55.2A6B2A6.5B6.10B$4.BA2BA4BA2BAB2.5B
14.2A27.BA2BA4BA2BAB2.5B14.2A29.BA6BAB4.5B14.2A29.6B8.5B14.2A54.BA2BA
4BA2BAB4.5B8.6B$3.2BA2BA4BA2BA2B.5B42.2BA2BA4BA2BA2B.5B43.2B2A6B2A2B
2.5B43.10B6.5B69.2BA2BA4BA2BA2B3.ABA2B10.2B$4.BA2BA4BA2BAB2.5B43.BA2B
A4BA2BAB2.5B42.2B3A6B3A2B.5B41.BA2BA4BA2BAB4.5B70.BA2BA4BA2BAB4.3BAB$
6.2A6B2A4.5B45.2A6B2A4.5B43.2B2A6B2A2B2.5B40.3A2B6A2B3A3.5B72.2A6B2A
6.3BAB$8.6B6.5B47.6B6.5B45.BA6BAB4.5B41.BA2BA4BA2BAB4.5B74.6B8.A2BA$
10.2B8.5B49.2B8.5B47.6B6.5B43.10B6.5B76.2B11.3A$20.5B59.5B49.2B8.5B
45.6B8.5B$20.5B59.5B59.5B47.2B10.5B$20.2B2AB59.2B2AB59.2B2AB59.2B2AB$
20.2B3A59.2B3A59.2B3A59.2B3A$20.BAB2A59.BAB2A59.BAB2A59.BAB2A$21.3A
61.3A61.3A61.3A$22.A63.A63.A63.A!
A 2-engine p45 gliderless HWSS gun that does not involve a pi-heptomino, bounding box 42×32 (may be reduced with some small spark suppressor)
Code: Select all
x = 42, y = 32, rule = LifeHistory
10.2A12.A$9.B2AB10.3A$2.2B5.3B10.BAB2A$5B.2B2.B2.2B2.2B3.2B3A$24B3A$.
9BA13B3AB$.8B3A12B2A2B$2.6B2AB2A15B4.2A$2.27B2.A.A$.AB2.13B.B2.10BA$A
.A7.5B9.7B6.A$2A8.2B.2B10.6B5.BAB$8.6B12.6B4.3A$6.10B9.7B3.5B$4.4BA4B
A4B7.7B3.5B$3.3B2AB4AB2A3B7.6B2.2B3A2B$4.4BA4BA4B5.2B.2BA3B2.3BA3B$6.
10B6.2A4B3A6BA4B$8.6B8.2AB.4B2A5BA4B$10.2B11.B2.5BAB.3BA3B$25.4B2ABA
3B3A2B$25.4B3A2B.5B$26.4B2A3.5B$26.6B4.3A$25.7B4.BAB$25.6B6.A$26.6B$
26.5B$26.5B$26.5B$26.4B$27.2B!
Method
I used the following gencols inputs in Command Prompt:
Code: Select all
D:\gencols-pt-002>gencols.exe -rule B3/S23 -pat left.life up.life -nph 45 -tc 2 46 -gen 46 -nosynch -del1 -del2 -filt ap > p45.list
D:\gencols-pt-002>gencols.exe -rule B3/S23 -pat right.life p45.list -nph 45 -tc 2 46 -gen 46 -nosynch -del1 -del2 -filt s | makematrix.exe > guns.txt
D:\gencols-pt-002>gencols.exe -rule B3/S23 -pat left.life up2.life -nph 45 -tc 2 46 -gen 46 -nosynch -del1 -del2 -filt 2 | makematrix.exe > p45-p2.txt
D:\gencols-pt-002>gencols.exe -rule B3/S23 -pat left.life up.life -nph 45 -tc 2 46 -gen 46 -nosynch -del1 -del2 -filt 2 | makematrix.exe > p45-p2-1.txt
First one built a list of interactions between left.life
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..........**
..........**
.
.
.
..........*
.........***
........**.**
.
.*
*.*
**
.
.
........*....*
......**.****.**
........*....*
and up.life
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..........**
.........*.*
..........*
.
.
.
...............*
...............*
.......*......*.*
......**.......*
**...**........*
**....**.......*
.......*.......*
..............*.*
...............*
...............*
Second one searched spaceship-emitting reactions over the course of a few days. None of the results work, but a TL + spark → LWSS reaction was noted (which is actually
known). Last two commands found combinations that give a p2 object/constellation, of which four results have appropriate clearance for the traffic light reaction.
The next day, in an attempt to repeat the procedure with other orientations, I had
Code: Select all
D:\gencols-pt-002> gencols.exe -rule B3/S23 -pat left.life up.life -nph 45 -tc 2 46 -gen 46 -nosynch -del1 -del2 -filt s | makematrix.exe -space 64 > guns.txt
which unexpectedly yields a single result of the HWSS gun.
Limitation
I know that Ivan Fomichev posted an improved version on
his github, but my gencols is
Paul Tooke's version compiled some time before due to its isotropic non-totalistic compatibility. No combination of both is apparently available, nor is there an active maintainer taking over the gencols code.
The -nph input parameter is for phase differences between pattern 2 and pattern 1. For periodic patterns it can be simply set as period, but here one of patterns is the list of interactions between two p45 pi-heptomino hasslers, which is not periodic. -nph should be set a bit higher like 60, but then the search may consume a large amount of memory.
...
Using a
hammer reaction, a p45 gliderless MWSS gun can be made. No 2- or 3-engine p45 gliderless MWSS gun has been discovered, unfortunately.
No experiment between two p45 and a pentadecathlon has been done.