Travelling Ts(b3s23-a5) and its variants

For discussion of other cellular automata.
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yyh_baboon
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Re: Travelling Ts(b3s23-a5) and its variants

Post by yyh_baboon » January 22nd, 2026, 10:02 am

P196*4=784 hassler partial:

Code: Select all

 x = 7, y = 9, rule = B3/S23-a5
3b3o$3bobo$6bo$2o3b2o$o5bo$2obo2bo$2b4o2$b2o!
[[ STOP 196 ]]
Do anyone have a P38 edge block factory?
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Have a look at my spaceship hub viewtopic.php?f=12&t=7084 if you’re interested ÔvÔ

Code: Select all

  x = 4, y = 3, rule = B3-cnqy4ej7c/S2-ci3-ak4ceinrz5acek6c
3o$o2bo$ob2o!

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PK22
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Re: Travelling Ts(b3s23-a5) and its variants

Post by PK22 » January 22nd, 2026, 11:22 am

The p25 in 44G, making it the most expensive synthesised oscillator:

Code: Select all

x = 227, y = 51, rule = B3/S23-a5
146bo$81bo64bobo$81bobo62b2o$81b2o111bo22bo$192bobo22bobo$119bo18bo54b
2o22b2o$54bo18bo43bobo16b2o16bo$52bobo16b2o16bo28b2o17b2o14bo$53b2o17b
2o14bo64b3o$88b3o$186bo38bo$187bo36bo$22bo89bo72b3o36b3o$20b2o25bo65bo
$21b2o25bo62b3o87b2o6b2o$46b3o90b2o60bobo4bobo$138bobo61bo6bo$139bo$
22bo$22bobo171b2o4b2o4b2o4b2o$22b2o102b2o4b2o4b2o56bobo2bobo4bobo2bobo
$7bo8bo50b2o4b2o51bobo2bobo4bobo56bo3b2o6b2o3bo$8bo6bo50bobo4bobo40bob
o8bo3b2o6b2o$obo3b3o6b3o33bobo12b2o6b2o41b2o$b2o49b2o63bo$bo50bo101bo$
89bo63b2o42bo3b2o6b2o3bo$22b2o64b2o41b2o6b2o3bo8bobo40bobo2bobo4bobo2b
obo$11bo10bobo41b2o6b2o12bobo40bobo4bobo2bobo50b2o4b2o4b2o4b2o$9bobo
10bo43bobo4bobo56b2o4b2o4b2o$10b2o55b2o4b2o$202bo6bo$32bo99bo68bobo4bo
bo$31b2o98bobo67b2o6b2o$16b3o6b3o3bobo97b2o$18bo6bo132b3o24b3o36b3o$
17bo8bo66b3o62bo28bo36bo$10b2o81bo65bo26bo38bo$9bobo82bo$11bo2$116b3o$
51b3o64bo14b2o17b2o39b2o22b2o$11b2o40bo14b2o17b2o28bo16b2o16bobo37bobo
22bobo$12b2o38bo16b2o16bobo43bo18bo41bo22bo$11bo56bo18bo2$124b2o$59b2o
62bobo$58bobo64bo$60bo!
EDIT: Synthesis method for Margolus oscillators with bbox 2x8N in 4N gliders:

Code: Select all

x = 62, y = 53, rule = B3/S23-a5
10bobo$10b2o$11bo5$50b3o6b3o$10bobo39bo2b2o2bo$10b2o39bo3b2o3bo$3o8bo
43b2o$2bo$bo3$50b3o6b3o$10bobo39bo2b2o2bo$10b2o39bo3b2o3bo$3o8bo43b2o$
2bo$bo3$50b3o6b3o$10bobo39bo2b2o2bo$10b2o39bo3b2o3bo$3o8bo43b2o$2bo$bo
3$50b3o6b3o$10bobo39bo2b2o2bo$10b2o39bo3b2o3bo$3o8bo43b2o$2bo$bo3$50b
3o6b3o$10bobo39bo2b2o2bo$10b2o39bo3b2o3bo$3o8bo43b2o$2bo$bo3$50b3o6b3o
$52bo2b2o2bo$51bo3b2o3bo$3o52b2o$2bo$bo!
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hotcrystal0
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Re: Travelling Ts(b3s23-a5) and its variants

Post by hotcrystal0 » January 22nd, 2026, 5:05 pm

Period-agnostic ship hassling reaction based on the new P11:

Code: Select all

x = 11, y = 11, rule = B3/S23-a5
2bo$7b2o$o2b2o2bobo$2bobo3b2o$2b2o2$7b2o$b2o3bobo$bobo2b2o2bo$2b2o$8b
o!
Unfortunately, I don’t know of any sparkers that can support it.
wherever I go on the internet I bring with myself nothing but problems.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!

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Re: Travelling Ts(b3s23-a5) and its variants

Post by ThePlayzr » January 22nd, 2026, 7:29 pm

PK22 wrote:
January 22nd, 2026, 11:22 am
The p25 in 44G, making it the most expensive synthesised oscillator:

Code: Select all

x = 227, y = 51, rule = B3/S23-a5
146bo$81bo64bobo$81bobo62b2o$81b2o111bo22bo$192bobo22bobo$119bo18bo54b
2o22b2o$54bo18bo43bobo16b2o16bo$52bobo16b2o16bo28b2o17b2o14bo$53b2o17b
2o14bo64b3o$88b3o$186bo38bo$187bo36bo$22bo89bo72b3o36b3o$20b2o25bo65bo
$21b2o25bo62b3o87b2o6b2o$46b3o90b2o60bobo4bobo$138bobo61bo6bo$139bo$
22bo$22bobo171b2o4b2o4b2o4b2o$22b2o102b2o4b2o4b2o56bobo2bobo4bobo2bobo
$7bo8bo50b2o4b2o51bobo2bobo4bobo56bo3b2o6b2o3bo$8bo6bo50bobo4bobo40bob
o8bo3b2o6b2o$obo3b3o6b3o33bobo12b2o6b2o41b2o$b2o49b2o63bo$bo50bo101bo$
89bo63b2o42bo3b2o6b2o3bo$22b2o64b2o41b2o6b2o3bo8bobo40bobo2bobo4bobo2b
obo$11bo10bobo41b2o6b2o12bobo40bobo4bobo2bobo50b2o4b2o4b2o4b2o$9bobo
10bo43bobo4bobo56b2o4b2o4b2o$10b2o55b2o4b2o$202bo6bo$32bo99bo68bobo4bo
bo$31b2o98bobo67b2o6b2o$16b3o6b3o3bobo97b2o$18bo6bo132b3o24b3o36b3o$
17bo8bo66b3o62bo28bo36bo$10b2o81bo65bo26bo38bo$9bobo82bo$11bo2$116b3o$
51b3o64bo14b2o17b2o39b2o22b2o$11b2o40bo14b2o17b2o28bo16b2o16bobo37bobo
22bobo$12b2o38bo16b2o16bobo43bo18bo41bo22bo$11bo56bo18bo2$124b2o$59b2o
62bobo$58bobo64bo$60bo!
Reduced to 36G, the final step is now C4_4:

Code: Select all

x = 152, y = 50, rule = B3/S23-a5
81bo$81bobo$81b2o2$133bo$54bo18bo59bobo6bo$52bobo16b2o16bo43b2o5b2o$53b
2o17b2o14bo52b2o$88b3o32bo$121bobo$122b2o$22bo123bo$20b2o25bo97bo$21b
2o25bo66bobo18b2o7b3o$46b3o67b2o17bobo$116bo19bo2$22bo$22bobo98b2o4b2o
4b2o$22b2o99bobo2bobo4bobo$7bo8bo50b2o4b2o40bo8bo3b2o6b2o$8bo6bo50bob
o4bobo40bo$obo3b3o6b3o33bobo12b2o6b2o38b3o$b2o49b2o95b3o$bo50bo96bo$89b
o38b2o6b2o3bo8bo$22b2o64b2o38bobo4bobo2bobo$11bo10bobo41b2o6b2o12bobo
38b2o4b2o4b2o$9bobo10bo43bobo4bobo$10b2o55b2o4b2o$129bo19bo$32bo95bob
o17b2o$31b2o85b3o7b2o18bobo$16b3o6b3o3bobo86bo$18bo6bo93bo$17bo8bo66b
3o46b2o$10b2o81bo48bobo$9bobo82bo47bo$11bo111b2o$124b2o5b2o$123bo6bob
o$51b3o78bo$11b2o40bo14b2o17b2o$12b2o38bo16b2o16bobo$11bo56bo18bo3$59b
2o$58bobo$60bo!
Please help me prove b3s23-a5 omniperiodic!
Please visit my ruleset and contribute!
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PK22
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Re: Travelling Ts(b3s23-a5) and its variants

Post by PK22 » January 23rd, 2026, 3:16 am

We have our first p17!!!:

Code: Select all

x = 19, y = 19, rule = B3/S23-a5
11bo$11b3o$10b3o$9bo2bo$10b4o$6bo7bo2bo$5bob5o2b4o$6bo5bobob3o$6bo2bo
2bobobo$3bo2bobobobo2bo$2bobobo2bo2bo$3obobo5bo$b4o2b5obo$bo2bo7bo$5b
4o$6bo2bo$6b3o$5b3o$7bo!
The LCM potential isn't great, but it's the first newly discovered semi-natural period in a while!
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Re: Travelling Ts(b3s23-a5) and its variants

Post by I6_I6 » January 23rd, 2026, 6:29 am

PK22 wrote:
January 23rd, 2026, 3:16 am
We have our first p17!!!:

Code: Select all

x = 19, y = 19, rule = B3/S23-a5
11bo$11b3o$10b3o$9bo2bo$10b4o$6bo7bo2bo$5bob5o2b4o$6bo5bobob3o$6bo2bo
2bobobo$3bo2bobobobo2bo$2bobobo2bo2bo$3obobo5bo$b4o2b5obo$bo2bo7bo$5b
4o$6bo2bo$6b3o$5b3o$7bo!
The LCM potential isn't great, but it's the first newly discovered semi-natural period in a while!
Nice find!!!
For reference, here's the D4_x1 soup that it appeared in:

Code: Select all

x = 31, y = 31, rule = B3/S23-a5
bbbbbbobobboobbooooboooobbbobbb$
bbbooooobooooobbboooooobbbbbbbb$
bbbbobbooobbobbobobbbboobooobbb$
bobbobbboboobboobooobboobbobobo$
booobobooobboooobobboboobbboobb$
bobbobobooboobooooooboobbbbbobb$
oobbbobooboobbbooobobbbobbbbbbb$
booboboobboooobobbbbooboobooobo$
obooooobbbobobboooooobbbboooooo$
booboobbboobbbobbobobobobobbboo$
bobobbooooboobbbbbbobboobbobboo$
oobobooobbobbooobbbboooboobobob$
ooobooboobobbooobbbbbbobboboboo$
bobbobbobbboobooobbbboobooooooo$
bbbooobbbobooooooobbbboboobbbbo$
obooooooobbooooooooobbooooooobo$
obbbboobobbbbooooooobobbbooobbb$
oooooooboobbbboooboobbbobbobbob$
oobobobbobbbbbbooobbobooboobooo$
boboboobooobbbbooobbobboooboboo$
oobbobboobbobbbbbbooboooobbobob$
oobbbobobobobobbobbboobbbooboob$
oooooobbbboooooobbobobbbooooobo$
obooobooboobbbboboooobbooboboob$
bbbbbbbobbbobooobbbooboobobbboo$
bbobbbbbooboooooobooboobobobbob$
bboobbboobobboboooobbooobobooob$
obobobboobboooboobboobobbbobbob$
bbboooboobbbbobobbobbooobbobbbb$
bbbbbbbboooooobbbooooobooooobbb$
bbbobbbooooboooobboobbobobbbbbb!
I haven't been able to find any LCMs; there's an LCM-able domino in one phase but it appears in another phase non-LCM-ably. Here's a failed LCM with p4:

Code: Select all

x = 22, y = 27, rule = B3/S23-a5
10bo$8b3o$9b3o$9bo3b2o$8b7o$4bo2bo7bo$4b4o2b5obo$3b3obobo2bo2bob2o$5bo
bobo5bob2o$7bob2o3b2obo$6b2obo5bobobo$6b2obo2bo2bobob3o$8bob5o2b4o$9bo
7bo2bo$10b7o$10b2o3bo$13b3o$9bo4b3o$3b2o4bo4bo$2bo2bobo$2bobob4obo$b2o
bobo2bob3o$o2bo3bobo4bo$2o2b4obo3b2o$8bo$6bo$6b2o!
[[ STOP 24 ]]
Last edited by I6_I6 on January 23rd, 2026, 7:15 am, edited 1 time in total.

Code: Select all

#C [[ THEME Golly ]]
x = 27, y = 15, rule = LifeHistory
8.A$A6.A.A$3A4.BA2B.B2D$3.A4.2B.2B2DB$2.2A2.3B.6B2.3B$2.20B$4.19B$4.2B
C10BD4B$4.2B2C10BD4B$4.B2C11B2D3B$4.13B2D4B$5.12BD3B.B2A$6.13B3.BA.A$
6.3B.B3.B10.A$25.2A!
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ThePlayzr
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Re: Travelling Ts(b3s23-a5) and its variants

Post by ThePlayzr » January 23rd, 2026, 7:13 am

LCMs are almost certainly impossible, unfortunately. Anyway, here's a natural variant, which can be reduced for a version with the same minpop as the original:

Code: Select all

x = 21, y = 21, rule = B3/S23-a5
7b2o$7bobo$8bo$7b3o$6bo3bo$6b4o$4b2o7bo$2obobo2b5obo$ob2obobo2bo2bo$b
obobobo5bo$4bo2b2o3b2o2bo$7bo5bobobobo$7bo2bo2bobob2obo$6bob5o2bobob2o
$7bo7b2o$11b4o$10bo3bo$11b3o$12bo$11bobo$12b2o!
And the soup:

Code: Select all

x = 31, y = 31, rule = B3/S23-a5
obbobbbbooobbbbbobobbbooooboooo$
bobobbobobbboboobbbbobbbbbooooo$
bbobbbbbbooobbobbobobobooobbooo$
oobboobobbobobboooobobobobbbboo$
bbbooobobbbooooobobooboobbobbob$
bbboobobbbbbbbobbobobbooobbbobo$
bobbboobbbboobbobbbbbbooooboobo$
bbboobbobbobbobobbbobbboooobobo$
oobbbbbbbbbbbooobbobbobboooobbo$
obobbbbbboobbooobbboboobbbbbobb$
oboobbbobobobbbboobobbbbbboobob$
bbobobobbbobbbboobbbooboboobobb$
boboobobbbbbbbbobobbbbobbbbobbo$
bbbbobbooobbbbbobbobobbbboooobb$
booboobboobbbbooobboobbbbbbobbo$
bobooboooobooooboooobooooboobob$
obbobbbbbboobbooobbbboobbooboob$
bboooobbbbobobbobbbbbooobbobbbb$
obbobbbbobbbbobobbbbbbbboboobob$
bbobooboboobbboobbbbobbbobobobb$
boboobbbbbboboobbbbobobobbboobo$
bbobbbbboobobbbooobboobbbbbbobo$
obboooobbobbobbooobbbbbbbbbbboo$
oboboooobbbobbbobobbobbobboobbb$
obooboooobbbbbbobboobbbboobbbob$
obobbbooobbobobbobbbbbbboboobbb$
bobbobbooboobobooooobbbobooobbb$
oobbbboboboboooobbobobboboobboo$
ooobbooobobobobbobbooobbbbbbobb$
ooooobbbbbobbbboobobbbobobbobob$
ooooboooobbbobobbbbbooobbbbobbo!
Edit: never going to happen, but synthesis partial?

Code: Select all

x = 21, y = 21, rule = B3/S23-a5History
12.2A$11.A.A$12.A$11.3A$8.2C4.A$7.A.C5A$7.A7.2A$5.2A.5A2.A.A.2A$4.C2.
A5.A.A.2A.A$4.2C.A2.A2.A.A.A.A$5.A.A.A.A.A.A$.A.A.A.A2.A2.A.2C$A.2A.A
.A5.A2.C$2A.A.A2.5A.2A$4.2A7.A$6.5AC.A$6.A4.2C$7.3A$8.A$7.A.A$7.2A!
Please help me prove b3s23-a5 omniperiodic!
Please visit my ruleset and contribute!
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hotcrystal0
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Re: Travelling Ts(b3s23-a5) and its variants

Post by hotcrystal0 » January 23rd, 2026, 9:04 am

Are there any catalyst searching programs that work with this rule? I think the biggest thing in the way of a stable reflector is a lack of catalysts, as the only ones currently used are (semi-) common objects.
wherever I go on the internet I bring with myself nothing but problems.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!

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Re: Travelling Ts(b3s23-a5) and its variants

Post by hotcrystal0 » January 23rd, 2026, 4:19 pm

P35 from rephasing the new P17:

Code: Select all

x = 35, y = 35, rule = B3/S23-a5
8b2o5bo5b2o$8bo2bo2bobo2bo2bo$9b4o2bo2b4o$12bo5bo$9b4o5b4o$9bo3b5o4bo
$10bo2bobobo2b2obo$9b2o10bobo$2o13bo3bo2bo$obob2obo7bo3b3o$2bobob2o10b
3o$b2obo10b2o3bo6b2o$2b3o10b7o4bo2bo3b2o$5b2o7b2o6bo2bob2obobobo$bo3b
o7bo2b2obo2b4o2bobobo$obo2b2ob2ob3o4bobobob3o3bob2o$bo3bo5b2obo2bobo2b
obo5b3o$5b2o5bobobobobobo5b2o$2b3o5bobo2bobo2bob2o5bo3bo$b2obo3b3obob
obo4b3ob2ob2o2bobo$2bobobo2b4o2bob2o2bo7bo3bo$obobob2obo2bo6b2o7b2o$2o
3bo2bo4b7o10b3o$6b2o6bo3b2o10bob2o$14b3o10b2obobo$13b3o3bo7bob2obobo$
12bo2bo3bo13b2o$11bobo10b2o$11bob2o2bobobo2bo$12bo4b5o3bo$13b4o5b4o$16b
o5bo$13b4o2bo2b4o$12bo2bo2bobo2bo2bo$12b2o5bo5b2o!
wherever I go on the internet I bring with myself nothing but problems.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!

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Re: Travelling Ts(b3s23-a5) and its variants

Post by I6_I6 » January 23rd, 2026, 5:01 pm

hotcrystal0 wrote:
January 23rd, 2026, 4:19 pm
P35 from rephasing the new P17:

Code: Select all

x = 35, y = 35, rule = B3/S23-a5
8b2o5bo5b2o$8bo2bo2bobo2bo2bo$9b4o2bo2b4o$12bo5bo$9b4o5b4o$9bo3b5o4bo
$10bo2bobobo2b2obo$9b2o10bobo$2o13bo3bo2bo$obob2obo7bo3b3o$2bobob2o10b
3o$b2obo10b2o3bo6b2o$2b3o10b7o4bo2bo3b2o$5b2o7b2o6bo2bob2obobobo$bo3b
o7bo2b2obo2b4o2bobobo$obo2b2ob2ob3o4bobobob3o3bob2o$bo3bo5b2obo2bobo2b
obo5b3o$5b2o5bobobobobobo5b2o$2b3o5bobo2bobo2bob2o5bo3bo$b2obo3b3obob
obo4b3ob2ob2o2bobo$2bobobo2b4o2bob2o2bo7bo3bo$obobob2obo2bo6b2o7b2o$2o
3bo2bo4b7o10b3o$6b2o6bo3b2o10bob2o$14b3o10b2obobo$13b3o3bo7bob2obobo$
12bo2bo3bo13b2o$11bobo10b2o$11bob2o2bobobo2bo$12bo4b5o3bo$13b4o5b4o$16b
o5bo$13b4o2bo2b4o$12bo2bo2bobo2bo2bo$12b2o5bo5b2o!
Brilliant!
That should allow for oscillators with period 17N + 1.
Most of those periods don't have very nice factors, but I was able to make this p120:

Code: Select all

x = 49, y = 49, rule = B3/S23-a5
13b3o$14b2o$13bo$9b2o$12b2o$12b3o2$13bobo$14bobo$3bo11bobo$3bo12bobo5b
2o$17bo2bo3b2o$4b2o12bob2obobo$obob2obo12b2o$2o3bo2bo$2o5bobo12bo3bo$
8bobo11bo3b3o$9bobo13b3o$10bobo9b2o3bo$22b7o$11b3o7b2o6bo2bo$12b2o6bo
2b2obo2b4o$15b2ob3o4bobobob3o$12bo5b2obo2bobo2bobo4b3o$10b2o7bobobobo
bobo7b2o$10b3o4bobo2bobo2bob2o5bo$15b3obobobo4b3ob2o$16b4o2bob2o2bo6b
2o$16bo2bo6b2o7b3o$20b7o$21bo3b2o9bobo$21b3o13bobo$20b3o3bo11bobo$22b
o3bo12bobo5b2o$40bo2bo3b2o$27b2o12bob2obobo$23bobob2obo12b2o$23b2o3bo
2bo$23b2o5bobo12bo$31bobo11bo$32bobo$33bobo2$34b3o$35b2o$38b2o$35bo$33b
2o$33b3o!
EDIT:
A new p10 billiard table rotor appeared in D4_x1:

Code: Select all

x = 19, y = 19, rule = B3/S23-a5
11bo$10bobo$10b2o2$8b6o$7bo4bobo$7bo2bo2b2o2bo$5b2o2b2o3bobobo$4bo6b2o
bob2o$4bo2bo3bo2bo$b2obob2o6bo$obobo3b2o2b2o$bo2b2o2bo2bo$4bobo4bo$5b
6o2$7b2o$6bobo$7bo!
It appeared with a slightly larger stator. Here's the soup:

Code: Select all

x = 31, y = 31, rule = B3/S23-a5
bbobbbobbbboboooobbooboobooobob$
bbooboobooobboooboobobbbbboobbo$
oobobobbboobbbbbbbboooooooobbbb$
boobobbobbobbooooobooobbobbbboo$
bbbooooooobboooobbobobbbobobooo$
booboboobbbbobbooooooobobbbbobo$
oobbooooooooooboooooobboobooobb$
bbbooooobboobboooobboooooobbobo$
bobbobobooobobbbbboooboobbbbobo$
boobobobooobobbooobbooboboboobb$
booobboooobbbbbobbbbboooooooooo$
obbbbboobbbbobooobobbbobooboobo$
bbbboooboobobbbooobobbobooobbob$
ooboobobbbbbboboooobbobooobobob$
ooboobbobbbobbbobooobobooobobbo$
ooboooooboooooobooooooboooooboo$
obbobooobobooobobbbobbbobbooboo$
bobobooobobboooobobbbbbbobooboo$
bobbooobobbobooobbboboobooobbbb$
obooboobobbbobooobobbbboobbbbbo$
oooooooooobbbbbobbbbboooobbooob$
bbooboboboobbooobboboooboboboob$
obobbbboobooobbbbbobooobobobbob$
obobboooooobboooobboobbooooobbb$
bboooboobbooooooboooooooooobboo$
obobbbbobooooooobbobbbbooboboob$
ooobobobbbobobboooobbooooooobbb$
oobbbbobbooobooooobbobbobboboob$
bbbboooooooobbbbbbbboobbboboboo$
obboobbbbboboobooobbooobooboobb$
bobooobooboobboooobobbbbobbbobb!
EDIT 2:
p8 from D8_1, not in the osc collection; is it new?

Code: Select all

x = 19, y = 19, rule = B3/S23-a5
6b3ob3o$8bobo2$7bo3bo$7bobobo$8b3o$o7bobo7bo$o2b2o9b2o2bo$2o3b2o2bo2b
2o3b2o$4b2o2bobo2b2o$2o3b2o2bo2b2o3b2o$o2b2o9b2o2bo$o7bobo7bo$8b3o$7b
obobo$7bo3bo2$8bobo$6b3ob3o!
It already has 13 occurences.

Then there's this one:

Code: Select all

x = 9, y = 14, rule = B3/S23-a5
b2o3b2o$bobobobo$3bobo$3bobo$3bobo2$2o5b2o$3o3b3o$bo5bo2$2b2ob2o$3bob
o$bobobobo$b2o3b2o!
And another:

Code: Select all

x = 21, y = 21, rule = B3/S23-a5
7b2o3b2o$2b2o2bo2bobo2bo2b2o$bobo2b2obobob2o2bobo$b2o3b4ob4o3b2o$9bob
o$7b3ob3o$b3o13b3o$ob2obo9bob2obo$o2bobo9bobo2bo$b5o9b5o2$b5o9b5o$o2b
obo9bobo2bo$ob2obo9bob2obo$b3o13b3o$7b3ob3o$9bobo$b2o3b4ob4o3b2o$bobo
2b2obobob2o2bobo$2b2o2bo2bobo2bo2b2o$7b2o3b2o!
These two p8s are known and look notable enough, but aren't in the collection:

Code: Select all

x = 24, y = 25, rule = B3/S23-a5
2b2o$2b2o$2o2b2o$2o2b2o$2o2b2o$2o2b2o$2o2b2o$2o2b2o$2b2o$2b2o$17b3o$4b
o16bobo$4bob2o9bobo3bo$4bo16bobo$16bobo$2b2o12bo3bobo$2b2o12bobo$2o2b
2o14b3o$2o2b2o$2o2b2o$2o2b2o$2o2b2o$2o2b2o$2b2o$2b2o!

Code: Select all

#C [[ THEME Golly ]]
x = 27, y = 15, rule = LifeHistory
8.A$A6.A.A$3A4.BA2B.B2D$3.A4.2B.2B2DB$2.2A2.3B.6B2.3B$2.20B$4.19B$4.2B
C10BD4B$4.2B2C10BD4B$4.B2C11B2D3B$4.13B2D4B$5.12BD3B.B2A$6.13B3.BA.A$
6.3B.B3.B10.A$25.2A!
User:I6 I6/Elementary Emulators

mmmmmmmmm
Posts: 229
Joined: May 7th, 2025, 3:53 am

Re: Travelling Ts(b3s23-a5) and its variants

Post by mmmmmmmmm » January 24th, 2026, 2:32 am

I6_I6 wrote:
January 23rd, 2026, 5:01 pm
EDIT 2:
p8 from D8_1, not in the osc collection; is it new?

Code: Select all

x = 19, y = 19, rule = B3/S23-a5
6b3ob3o$8bobo2$7bo3bo$7bobobo$8b3o$o7bobo7bo$o2b2o9b2o2bo$2o3b2o2bo2b
2o3b2o$4b2o2bobo2b2o$2o3b2o2bo2b2o3b2o$o2b2o9b2o2bo$o7bobo7bo$8b3o$7b
obobo$7bo3bo2$8bobo$6b3ob3o!
It already has 13 occurences.

Then there's this one:

Code: Select all

x = 9, y = 14, rule = B3/S23-a5
b2o3b2o$bobobobo$3bobo$3bobo$3bobo2$2o5b2o$3o3b3o$bo5bo2$2b2ob2o$3bob
o$bobobobo$b2o3b2o!
And another:

Code: Select all

x = 21, y = 21, rule = B3/S23-a5
7b2o3b2o$2b2o2bo2bobo2bo2b2o$bobo2b2obobob2o2bobo$b2o3b4ob4o3b2o$9bob
o$7b3ob3o$b3o13b3o$ob2obo9bob2obo$o2bobo9bobo2bo$b5o9b5o2$b5o9b5o$o2b
obo9bobo2bo$ob2obo9bob2obo$b3o13b3o$7b3ob3o$9bobo$b2o3b4ob4o3b2o$bobo
2b2obobob2o2bobo$2b2o2bo2bobo2bo2b2o$7b2o3b2o!
These two p8s are known and look notable enough, but aren't in the collection:

Code: Select all

x = 24, y = 25, rule = B3/S23-a5
2b2o$2b2o$2o2b2o$2o2b2o$2o2b2o$2o2b2o$2o2b2o$2o2b2o$2b2o$2b2o$17b3o$4b
o16bobo$4bob2o9bobo3bo$4bo16bobo$16bobo$2b2o12bo3bobo$2b2o12bobo$2o2b
2o14b3o$2o2b2o$2o2b2o$2o2b2o$2o2b2o$2o2b2o$2b2o$2b2o!
The 2nd, 4th, and 5th should be on the collection, someone can add them later, but the 1st and 3rd are not, and here is why:
The first oscillator, despite being new, is not only not sparky at all but extremely rare - less than 1 in 5 billion, and that's in D8_1 soups. So it's not really notable.
The 3rd one has barely any sparks, and there are smaller ones that are much more sparky, and tiny ones that have the same sparks.
mmmmmmmmm, I love eating spaceships.

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ThePlayzr
Posts: 698
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Re: Travelling Ts(b3s23-a5) and its variants

Post by ThePlayzr » January 24th, 2026, 2:49 am

PK22 wrote:
January 23rd, 2026, 3:16 am
We have our first p17!!!:

Code: Select all

x = 19, y = 19, rule = B3/S23-a5
11bo$11b3o$10b3o$9bo2bo$10b4o$6bo7bo2bo$5bob5o2b4o$6bo5bobob3o$6bo2bo
2bobobo$3bo2bobobobo2bo$2bobobo2bo2bo$3obobo5bo$b4o2b5obo$bo2bo7bo$5b
4o$6bo2bo$6b3o$5b3o$7bo!
The LCM potential isn't great, but it's the first newly discovered semi-natural period in a while!
Moderate stator reduction:

Code: Select all

x = 21, y = 21, rule = B3/S23-a5
11b2o$11bo$12bo$11b2o$10bo$11b4o$7bo7bo$6bob5o2bo$7bo5bobob2obo$7bo2b
o2bobobob2o$4bo2bobobobo2bo$2obobobo2bo2bo$ob2obobo5bo$5bo2b5obo$5bo7b
o$6b4o$10bo$8b2o$8bo$9bo$8b2o!
Please help me prove b3s23-a5 omniperiodic!
Please visit my ruleset and contribute!
User:ThePlayzr
Finally got LLS! Time to do way too much searching!

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I6_I6
Posts: 729
Joined: July 26th, 2025, 8:44 pm
Location: Here, there, somewhere, anywhere, everywhere.
Contact:

Re: Travelling Ts(b3s23-a5) and its variants

Post by I6_I6 » January 24th, 2026, 3:31 am

mmmmmmmmm wrote:
January 24th, 2026, 2:32 am
I6_I6 wrote:
January 23rd, 2026, 5:01 pm
...
The 2nd, 4th, and 5th should be on the collection, someone can add them later, but the 1st and 3rd are not, and here is why:
The first oscillator, despite being new, is not only not sparky at all but extremely rare - less than 1 in 5 billion, and that's in D8_1 soups. So it's not really notable.
The 3rd one has barely any sparks, and there are smaller ones that are much more sparky, and tiny ones that have the same sparks.
Fair enough.
But just for reference, here's a collection of 7 more new p8 rotors from D8_1:

Code: Select all

x = 60, y = 64, rule = B3/S23-a5
8b2o3b2o19bo$8bo5bo18bobo$9bo3bo16bo2bobo2b2o7b3o3b3o$6b3obobob3o12bob
obobobobo6bo2bo3bo2bo$5bo2bobobobo2bo12b2obobob2o7bobo5bobo$4bob2obo3b
ob2obo14bob2o9b2o7b2o$3bobo2b2o3b2o2bobo8b5o2bo$3bobo2bo5bo2bobo7bo7bo
$2ob2ob2o7b2ob2ob2o5b7obo$obo2b2o9b2o2bobo9bo2bo10b2o7b2o$3b2o13b2o10b
2o14bobo5bobo$29bobo14bo2bo3bo2bo$3b2o13b2o9b2o16b3o3b3o$obo2b2o9b2o2b
obo$2ob2ob2o7b2ob2ob2o$3bobo2bo5bo2bobo$3bobo2b2o3b2o2bobo$4bob2obo3bo
b2obo$5bo2bobobobo2bo$6b3obobob3o14bo14b2o5b2o$9bo3bo16bobo14bo5bo$8bo
5bo15b2o12b5o3b5o$8b2o3b2o19bo8bo13bo$28b7o8bo2b3obob3o2bo$27bo13bobob
o4bo4bobobo$27b2o3b3o6b3obo3bobo3bob3o$34bo8bobo9bobo$11b2o14b7o13bo5b
o$11bo15bo17b2o7b2o$10b3o17b2o15bo5bo$29bobo11bobo9bobo$8b7o15bo10b3ob
o3bobo3bob3o$7bo7bo25bobobo4bo4bobobo$8b2o3b2o28bo2b3obob3o2bo$5bo2bo
5bo2bo25bo13bo$4bob2obo3bob2obo25b5o3b5o$4bobobobobobobobo28bo5bo$obob
o4bo3bo4bobo25b2o5b2o$3obo13bob3o$2bobo4bo3bo4bobobo$4bobobobobobobobo
$4bob2obo3bob2obo16bo3bo$5bo2bo5bo2bo14b3obobob3o$8b2o3b2o15bobo3bobo
3bobo$7bo7bo14bo3bobobobo3bo$8b7o13b2o2bob3ob3obo2b2o$32bobo5bobo$10b
3o14b2ob2obo7bob2ob2o$11bo15bo4bo9bo4bo$10b2o15bob3o11b3obo$26bo3bo13b
o3bo$27b4o13b4o2$27b4o13b4o$26bo3bo13bo3bo$27bob3o11b3obo$27bo4bo9bo4b
o$27b2ob2obo7bob2ob2o$32bobo5bobo$28b2o2bob3ob3obo2b2o$30bo3bobobobo3b
o$30bobo3bobo3bobo$32b3obobob3o$35bo3bo!
EDIT:
12 p7 rotors:

Code: Select all

# Not entirely sure whether the third in the first 
# and third rows can be counted as different rotors
x = 102, y = 75, rule = B3/S23-a5
34bo7bo17bo3bo$33bobo5bobo15bobobobo$7b2obo3bob2o14bobo7bobo12b3obobob
3o15b2o$9bobobobo15bo2bo7bo2bo11bobobobobobo14bo2bo$7b2o2bobo2b2o12bo
3b2o5b2o3bo14bobo18b2obo2bo$6bo4bobo4bo10bob3o2bo3bo2b3obo6b2o5bobo5b
2o12bobobobo$5bob4o3b4obo10bo2bo2b2ob2o2bo2bo7bo6bobo6bo10bo3bob2o$2bo
bobo11bobobo11b2obobob2o10b3o5bobo5b3o7b4o2bo$2bobobo2b2o3b2o2bobobo
12b2o3b2o10bo8bobo8bo5bo6bo$3bo2bobobo3bobobo2bo31b8o3b8o7b6o$2bo3bob
2o5b2obo3bo12b2o3b2o$3b3o13b3o12b2obobob2o10b8o3b8o9b2o$30bo2bo2b2ob2o
2bo2bo5bo8bobo8bo7bobo$3b3o13b3o7bob3o2bo3bo2b3obo5b3o5bobo5b3o9bo$2bo
3bob2o5b2obo3bo7bo3b2o5b2o3bo7bo6bobo6bo$3bo2bobobo3bobobo2bo9bo2bo7bo
2bo8b2o5bobo5b2o$2bobobo2b2o3b2o2bobobo9bobo7bobo16bobo$2bobobo11bobob
o10bobo5bobo13bobobobobobo$5bob4o3b4obo14bo7bo14b3obobob3o$6bo4bobo4bo
40bobobobo14bo5bo$7b2o2bobo2b2o42bo3bo11b2obob2ob2obob2o$9bobobobo59bo
bobobo3bobobobo$7b2obo3bob2o56bo2bo2b2o3b2o2bo2bo$32b2o3b2o34bo3bob2ob
obob2obo3bo$32bo5bo19bo14b4obo9bob4o$30b4o3b4o16bobo17bo11bo$29bo4bobo
4bo15b2o14b2obo13bob2o$28bob2o2bobo2b2obo29bo2b2o13b2o2bo$27bobo4bobo
4bobo11b4o14b3o15b3o$9b2o16bobo2bobobobo2bobo7b2o2bo3bo13bo2bo13bo2bo$
10bo14b3o3bo2bobo2bo3b3o5bobobo2bobo3bo$9b3o13bobo15bobo6bo2bobobobobo
bo7bo2bo13bo2bo$7bo5bo14b5o5b5o12bo2bo2bob2o8b3o15b3o$8b2ob2o42bo5bo
10bo2b2o13b2o2bo$9bobo16b5o5b5o11bob6o11b2obo13bob2o$7bo5bo11bobo15bob
o9bo21bo11bo$3bo2b2o5b2o2bo7b3o3bo2bobo2bo3b3o13bo13b4obo9bob4o$4bo11b
o10bobo2bobobobo2bobo14bobo12bo3bob2obobob2obo3bo$2bob2o9b2obobo6bobo
4bobo4bobo15b2o13bo2bo2b2o3b2o2bo2bo$3o15b3o7bob2o2bobo2b2obo32bobobob
o3bobobobo$obob2o9b2obo10bo4bobo4bo34b2obob2ob2obob2o$4bo11bo13b4o3b4o
39bo5bo$3bo2b2o5b2o2bo14bo5bo$7bo5bo18b2o3b2o19bo9bo$9bobo44b3o2bo3bo
2b3o$8b2ob2o43bobobobobobobobo19bo$7bo5bo46bobobobo22bobo$9b3o41b2o5bo
bobobo5b2o16bo$10bo42bo6bobobobo6bo13b7o$10b2o19b2o7b2o10b3o5bobobobo
5b3o12bo5bo$31bobo5bobo18bobobobo20b2obob2o$33bo2bo2bo14b6obo3bob6o17b
o$33bobobobo13bo6bo5bo6bo14bo3bo$33bobobobo14b6o7b6o9b3o3b2ob2o3b3o$7b
2o3b2o17b3obobob3o40bobob2o5b2obobo$7bo2bo2bo11b2o3bob4ob4obo3b2o6b6o
7b6o7bobo4bo5bo4bobo$6b9o10bo4b2o9b2o4bo5bo6bo5bo6bo5bob2ob2o9b2ob2obo
$5bo9bo10b6o9b6o7b6obo3bob6o7bobo4bo5bo4bobo$5bob7obo15bo9bo18bobobobo
15bobob2o5b2obobo$3b2o11b2o10b4o9b4o7b3o5bobobobo5b3o7b3o3b2ob2o3b3o$
2bo15bo8bo17bo7bo6bobobobo6bo14bo3bo$3obo11bob3o7b4o9b4o8b2o5bobobobo
5b2o16bo$obobo5bo5bobobo10bo9bo18bobobobo20b2obob2o$2bobo11bobo7b6o9b
6o9bobobobobobobobo16bo5bo$b2obo3bo3bo3bob2o5bo4b2o9b2o4bo8b3o2bo3bo2b
3o16b7o$2bobo11bobo6b2o3bob4ob4obo3b2o10bo9bo21bo$obobo5bo5bobobo10b3o
bobob3o47bobo$3obo11bob3o12bobobobo50bo$2bo15bo14bobobobo$3b2o11b2o15b
o2bo2bo$5bob7obo15bobo5bobo$5bo9bo15b2o7b2o$6b9o$7bo2bo2bo$7b2o3b2o!
EDIT 2:
p5:

Code: Select all

x = 11, y = 11, rule = B3/S23-a5
10bo$2bo7bo$bobob3o2bo$2b2obobo$5bobo$2b3obobo$2bo2bo$2b3o$5bo2$3o!
p10 thumb sparker:

Code: Select all

x = 23, y = 23, rule = B3/S23-a5
9bo3bo$8bobobobo$9bo3bo$6bobobobobobo$6bobobobobobo$6bobobobobobo$3b3o
3bo3bo3b3o2$bob3o11b3obo$obo3bo9bo3bobo$bob3o11b3obo2$bob3o11b3obo$ob
o3bo9bo3bobo$bob3o11b3obo2$3b3o3bo3bo3b3o$6bobobobobobo$6bobobobobobo
$6bobobobobobo$9bo3bo$8bobobobo$9bo3bo!
EDIT 3:
One of the p8s is extensible:

Code: Select all

x = 31, y = 31, rule = B3/S23-a5
11b3o3b3o$10bo2bo3bo2bo$10bobo5bobo$10b2o7b2o4$9b2o9b2o$8bobo9bobo$7b
o2bo9bo2bo$b3o3b3o11b3o3b3o$o2bo23bo2bo$obo25bobo$2o27b2o4$2o27b2o$ob
o25bobo$o2bo23bo2bo$b3o3b3o11b3o3b3o$7bo2bo9bo2bo$8bobo9bobo$9b2o9b2o
4$10b2o7b2o$10bobo5bobo$10bo2bo3bo2bo$11b3o3b3o!
EDIT 4:
Monomerization of a p7:

Code: Select all

x = 14, y = 14, rule = B3/S23-a5
5bo$4bobo$2o2bob3o$obobobobo$2bobo$b2obo5b2o$2bobo6bo$2bobo5b3o$b2obo
8bo$2bo2b8o$2bo$3b8o$5bo2bo2bo$10b2o!
Last edited by I6_I6 on January 24th, 2026, 5:22 am, edited 2 times in total.

Code: Select all

#C [[ THEME Golly ]]
x = 27, y = 15, rule = LifeHistory
8.A$A6.A.A$3A4.BA2B.B2D$3.A4.2B.2B2DB$2.2A2.3B.6B2.3B$2.20B$4.19B$4.2B
C10BD4B$4.2B2C10BD4B$4.B2C11B2D3B$4.13B2D4B$5.12BD3B.B2A$6.13B3.BA.A$
6.3B.B3.B10.A$25.2A!
User:I6 I6/Elementary Emulators

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PK22
Posts: 564
Joined: January 25th, 2025, 11:38 am
Location: United Kingdom

Re: Travelling Ts(b3s23-a5) and its variants

Post by PK22 » January 24th, 2026, 5:12 am

Another p8 in 36G, thanks to the 9G butterfly recipe:

Code: Select all

x = 189, y = 51, rule = B3/S23-a5
79bo$77bobo$78b2o2$169bo$87bo18bo62bobo7bo$70bo17b2o16bobo60b2o6b2o$
71bo15b2o17b2o70b2o$22bo46b3o87bo$20b2o135bobo$21b2o135b2o$183bo$182bo
$113bo37bobo19b2o7b3o$23bo88bo39b2o18bobo$23bobo86b3o37bo20bo$23b2o$7b
o8bo$8bo6bo143b2o4b2o5b2o$6b3o6b3o141bobo2bobo5bobo$obo82b2o5b2o66bo3b
2o7b2o$b2o81bobo5bobo56bo$bo82b2o7b2o57bo$23b2o82bobo40b3o33b3o$23bobo
81b2o77bo$11bo11bo46bo37bo78bo$9bobo58b2o92b2o7b2o3bo$10b2o57bobo92bob
o5bobo2bobo$33bo50b2o7b2o70b2o5b2o4b2o$32b2o50bobo5bobo$32bobo50b2o5b
2o$17b3o6b3o136bo20bo$19bo6bo137bobo18b2o$18bo8bo126b3o7b2o19bobo$10b
2o144bo$9bobo52b3o88bo$11bo54bo112b2o$65bo113bobo$179bo$159b2o$12b2o
146b2o6b2o$13b2o144bo7bobo$12bo94b3o59bo$71b2o17b2o15bo$70bobo16b2o17b
o$72bo18bo3$99b2o$99bobo$99bo!
EDIT: Another p8 in 14G:

Code: Select all

x = 114, y = 37, rule = B3/S23-a5
90bo$91b2o$90b2o$99bobo$32bobo64b2o$32b2o66bo$33bo2$18bo$19bo$17b3o2$
80bo$81b2o28bobo$80b2o29b2o$94b3o15bo2$92bo5bo$92bo5bo$8bo17b2o64bo5bo
$6bobo17bobo$7b2o17bo51bo15b3o$78b2o29b2o$77bobo28b2o$110bo6$15b3o$15b
o74bo$16bo73b2o$89bobo$bo97b2o$b2o95b2o$obo97bo!
EDIT 2: Incomplete synthesis for fourfold hearts - it's quite difficult to get the duoplets in position:

Code: Select all

x = 193, y = 117, rule = B3/S23-a5
25bo$26bo$24b3o22$58bo55bo$59b2o53bobo$58b2o54b2o$65bobo$65b2o$66bo13$
58bo$47bo10bobo$45bobo10b2o$46b2o24bo$71bo$71b3o2$27bo$28b2o151bo2b2ob
2o2bo$27b2o151bo2bobobobo2bo$183bobobobo$181b2o2bobo2b2o$180bo4bobo4bo
$180b5o3b5o$25bo17bo$25b2o17bo135b5o3b5o$24bobo15b3o27b3o15bobo87bo4bo
bo4bo$72bo17b2o89b2o2bobo2b2o$73bo17bo91bobobobo$180bo2bobobobo2bo$
181bo2b2ob2o2bo3$88b2o$87b2o$89bo2$43b3o$45bo$44bo24b2o$57b2o10bobo$
56bobo10bo$58bo13$50bo$50b2o$49bobo$b2o54b2o$obo53b2o$2bo55bo22$90b3o$
90bo$91bo!
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Re: Travelling Ts(b3s23-a5) and its variants

Post by I6_I6 » January 24th, 2026, 8:17 am

p10 from D4_+1:

Code: Select all

x = 11, y = 11, rule = B3/S23-a5
2bo5bo$bobo3bobo$b2o5b2o$o9bo$b3o3b3o2$b3o3b3o$o9bo$b2o5b2o$bobo3bobo
$2bo5bo!
p5 billiard table:

Code: Select all

x = 10, y = 9, rule = B3/S23-a5
4b2ob2o$5bobobo$3bo5bo$obob3obo$3o5b2o$2bob3obo$3bo5bo$5bobobo$4b2ob2o
!

Code: Select all

#C [[ THEME Golly ]]
x = 27, y = 15, rule = LifeHistory
8.A$A6.A.A$3A4.BA2B.B2D$3.A4.2B.2B2DB$2.2A2.3B.6B2.3B$2.20B$4.19B$4.2B
C10BD4B$4.2B2C10BD4B$4.B2C11B2D3B$4.13B2D4B$5.12BD3B.B2A$6.13B3.BA.A$
6.3B.B3.B10.A$25.2A!
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Re: Travelling Ts(b3s23-a5) and its variants

Post by PK22 » January 24th, 2026, 8:54 am

I6_I6 wrote:
January 24th, 2026, 8:17 am
p10 from D4_+1:

Code: Select all

x = 11, y = 11, rule = B3/S23-a5
2bo5bo$bobo3bobo$b2o5b2o$o9bo$b3o3b3o2$b3o3b3o$o9bo$b2o5b2o$bobo3bobo
$2bo5bo!
26G:

Code: Select all

x = 473, y = 133, rule = B3/S23-a5
82bo$80bobo$81b2o28$156bobo$156b2o$157bo10$306bo$304bobo$305b2o$151bo$
21bo128bo126bo80bo$20bo129b3o125bo78bo$20b3o19bobo231b3o78b3o$42b2o
285bo$4bobo36bo285bobo$5b2o28bo293b2o$5bo27b2o$34b2o7$154b3o$154bo$
155bo$129b2o17b2o$128bo2bo15bo2bo$9b2o118b3o15b3o$10b2o27bo$9bo28b2o
89b3o15b3o$bo36bobo87bo2bo15bo2bo$b2o126b2o17b2o276bo43bo$obo19b3o98bo
300bobo43bobo$24bo99bo300b2o6bo12bo3bo12bo6b2o$23bo98b3o307bobo9b2obob
ob2o9bobo$432bobo8bobobobobobo8bobo$433bo10bo2bobo2bo10bo4$433bo10bo2b
obo2bo10bo$314b2o3b2o111bobo8bobobobobobo8bobo$313bo2bobo2bo110bobo9b
2obobob2o9bobo$307b2o4bo2bobo2bo4b2o105bo12bo3bo12bo$306bo2bo4b2o3b2o
4bo2bo$307b3o15b3o2$126b3o178b3o15b3o$128bo177bo2bo4b2o3b2o4bo2bo$127b
o179b2o4bo2bobo2bo4b2o$313bo2bobo2bo$314b2o3b2o11$121bo$121b2o$120bobo
15$329b2o$329bobo$329bo$276b3o78b3o$278bo78bo$277bo80bo2$305b2o$304bob
o$306bo4$196b2o$196bobo$196bo!
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Re: Travelling Ts(b3s23-a5) and its variants

Post by I6_I6 » January 24th, 2026, 9:50 am

PK22 wrote:
January 24th, 2026, 8:54 am
I6_I6 wrote:
January 24th, 2026, 8:17 am
p10 from D4_+1:
...
26G:

Code: Select all

[snip]
How do you find all those syntheses?

EDIT:
SKOP p32 in 4G, surely known but not in the synthesis collection:

Code: Select all

x = 14, y = 9, rule = B3/S23-a5
11bo$4bo6bobo$3bo7b2o$3b3o2$8b3o$b2o7bo$obo6bo$2bo!

Code: Select all

#C [[ THEME Golly ]]
x = 27, y = 15, rule = LifeHistory
8.A$A6.A.A$3A4.BA2B.B2D$3.A4.2B.2B2DB$2.2A2.3B.6B2.3B$2.20B$4.19B$4.2B
C10BD4B$4.2B2C10BD4B$4.B2C11B2D3B$4.13B2D4B$5.12BD3B.B2A$6.13B3.BA.A$
6.3B.B3.B10.A$25.2A!
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Re: Travelling Ts(b3s23-a5) and its variants

Post by EvinZL » January 24th, 2026, 11:29 am

PK22 wrote:
January 24th, 2026, 5:12 am
EDIT 2: Incomplete synthesis for fourfold hearts - it's quite difficult to get the duoplets in position:

Code: Select all

x = 193, y = 117, rule = B3/S23-a5
25bo$26bo$24b3o22$58bo55bo$59b2o53bobo$58b2o54b2o$65bobo$65b2o$66bo13$
58bo$47bo10bobo$45bobo10b2o$46b2o24bo$71bo$71b3o2$27bo$28b2o151bo2b2ob
2o2bo$27b2o151bo2bobobobo2bo$183bobobobo$181b2o2bobo2b2o$180bo4bobo4bo
$180b5o3b5o$25bo17bo$25b2o17bo135b5o3b5o$24bobo15b3o27b3o15bobo87bo4bo
bo4bo$72bo17b2o89b2o2bobo2b2o$73bo17bo91bobobobo$180bo2bobobobo2bo$
181bo2b2ob2o2bo3$88b2o$87b2o$89bo2$43b3o$45bo$44bo24b2o$57b2o10bobo$
56bobo10bo$58bo13$50bo$50b2o$49bobo$b2o54b2o$obo53b2o$2bo55bo22$90b3o$
90bo$91bo!

Code: Select all

x = 49, y = 49, rule = B3/S23-a5
19bo$18bo$18b3o5$12bo$10bobo6bo$11b2o5bo$18b3o19bo$39bo$39b3o6$22b2ob
2o11b2o6b2o$21bobobobo10bobo5bobo$21bobobobo10bo7bo$19b2o2bobo2b2o$18b
o4bobo4bo$18b5o3b5o2$18b5o3b5o$18bo4bobo4bo$19b2o2bobo2b2o$2bo7bo10bob
obobo$obo5bobo10bobobobo$b2o6b2o11b2ob2o6$7b3o$9bo$8bo19b3o$30bo5b2o$
29bo6bobo$36bo5$28b3o$30bo$29bo!

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Re: Travelling Ts(b3s23-a5) and its variants

Post by I6_I6 » January 24th, 2026, 11:41 am

EvinZL wrote:
January 24th, 2026, 11:29 am
PK22 wrote:
January 24th, 2026, 5:12 am
EDIT 2: Incomplete synthesis for fourfold hearts - it's quite difficult to get the duoplets in position:

Code: Select all

x = 193, y = 117, rule = B3/S23-a5
25bo$26bo$24b3o22$58bo55bo$59b2o53bobo$58b2o54b2o$65bobo$65b2o$66bo13$
58bo$47bo10bobo$45bobo10b2o$46b2o24bo$71bo$71b3o2$27bo$28b2o151bo2b2ob
2o2bo$27b2o151bo2bobobobo2bo$183bobobobo$181b2o2bobo2b2o$180bo4bobo4bo
$180b5o3b5o$25bo17bo$25b2o17bo135b5o3b5o$24bobo15b3o27b3o15bobo87bo4bo
bo4bo$72bo17b2o89b2o2bobo2b2o$73bo17bo91bobobobo$180bo2bobobobo2bo$
181bo2b2ob2o2bo3$88b2o$87b2o$89bo2$43b3o$45bo$44bo24b2o$57b2o10bobo$
56bobo10bo$58bo13$50bo$50b2o$49bobo$b2o54b2o$obo53b2o$2bo55bo22$90b3o$
90bo$91bo!

Code: Select all

x = 49, y = 49, rule = B3/S23-a5
19bo$18bo$18b3o5$12bo$10bobo6bo$11b2o5bo$18b3o19bo$39bo$39b3o6$22b2ob
2o11b2o6b2o$21bobobobo10bobo5bobo$21bobobobo10bo7bo$19b2o2bobo2b2o$18b
o4bobo4bo$18b5o3b5o2$18b5o3b5o$18bo4bobo4bo$19b2o2bobo2b2o$2bo7bo10bob
obobo$obo5bobo10bobobobo$b2o6b2o11b2ob2o6$7b3o$9bo$8bo19b3o$30bo5b2o$
29bo6bobo$36bo5$28b3o$30bo$29bo!
Full 36G synthesis:

Code: Select all

x = 314, y = 109, rule = B3/S23-a5
80bobo$81b2o$81bo21$113bo51bo$114bo48b2o$112b3o49b2o$117bo$117bobo$117b
2o4$211bobo$211b2o65bo$212bo66bo$277b3o$282bo$281bobo$206bo73bo2bo$207b
2o72b2o28bo$206b2o3bobo97bobo$10bo200b2o98b2o$5bo3bo202bo19bobo73bo$6b
o2b3o97b2o121b2o73bobo$4b3o101bobo122bo73bo2bo$23bo85bo198b2o$23bobo58b
o$23b2o60bo145b2o6b2o49bo3bo$83b3o130b2ob2o9b2o6b2o48bo2bobo2bo$215bo
bobobo10bo7bo47bo2bobo2bo$24b2o189bobobobo64b2obobobobob2o$24bobo54b2o
38bo91b2o2bobo2b2o64bo2bobo2bo$24bo55bobo37bobo89bo4bobo4bo60bo5bobo5b
o$82bo38b2o89b5o3b5o61b5o3b5o2$100b2o38bo71b5o3b5o61b5o3b5o$2bo97bobo
37bobo69bo4bobo4bo60bo5bobo5bo$obo98bo38b2o71b2o2bobo2b2o64bo2bobo2bo
$b2o212bobobobo64b2obobobobob2o$196bo7bo10bobobobo66bo2bobo2bo$137b3o
57b2o6b2o9b2ob2o67bo2bobo2bo$2b2o133bo58b2o6b2o84bo3bo$bobo134bo$3bo109b
o161b2o$20b3o89bobo88bo70bo2bo$15b3o2bo91b2o89b2o70bobo$17bo3bo180bob
o19bo51bo$16bo207b2o46b2o$223bobo3b2o40bobo$228b2o43bo28b2o$230bo70bo
2bo$301bobo$302bo$305b3o$224bo80bo$224b2o80bo$223bobo4$104b2o$103bobo
$105bo$57b2o49b3o$58b2o48bo$57bo51bo21$141bo$140b2o$140bobo!

Code: Select all

#C [[ THEME Golly ]]
x = 27, y = 15, rule = LifeHistory
8.A$A6.A.A$3A4.BA2B.B2D$3.A4.2B.2B2DB$2.2A2.3B.6B2.3B$2.20B$4.19B$4.2B
C10BD4B$4.2B2C10BD4B$4.B2C11B2D3B$4.13B2D4B$5.12BD3B.B2A$6.13B3.BA.A$
6.3B.B3.B10.A$25.2A!
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Re: Travelling Ts(b3s23-a5) and its variants

Post by PK22 » January 24th, 2026, 12:16 pm

18G synth for the Margolus p20:

Code: Select all

x = 167, y = 68, rule = B3/S23-a5
119bobo$119b2o$120bo3$86bo$87bo$85b3o2$110bo$108b2o$109b2o7$10bobo$10b
2o139bo14bo$11bo140b2o10b2o$151b2o4b4o4b2o4$50b3o6b3o$10bobo39bo2b2o2b
o39b2o57b2o$10b2o39bo3b2o3bo38b2o57b2o$3o8bo43b2o42b2o57b2o$2bo96b2o
57b2o$bo97b2o57b2o$99b2o57b2o$99b2o57b2o$50b3o6b3o37b2o57b2o$52bo2b2o
2bo39b2o57b2o$51bo3b2o3bo38b2o57b2o$3o52b2o42b2o57b2o$2bo96b2o57b2o$bo
97b2o57b2o$99b2o57b2o$99b2o57b2o$99b2o57b2o5$151b2o4b4o4b2o$152b2o10b
2o$151bo14bo8$109b2o$108b2o$110bo2$85b3o$87bo$86bo3$120bo$119b2o$119bo
bo!
Also, a reminder that there is a wiki page for syntheses, so it would be great if someone could add any of the recent syntheses that I've missed.
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Re: Travelling Ts(b3s23-a5) and its variants

Post by mmmmmmmmm » January 24th, 2026, 10:37 pm

I6_I6 wrote:
January 24th, 2026, 3:31 am
Fair enough.
But just for reference, here's a collection of 7 more new p8 rotors from D8_1:
12 p7 rotors:
[/code]
Reduced the top and middle p8:

Code: Select all

x = 14, y = 32, rule = B3/S23-a5
8bo$7bobo$4bo2bobo2b2o$3bobobobobobo$4bo2bobob2o$7bob2o$2b5o2bo$bo7bo
$2b7obo$6bo2bo$4b2o$3bobo$3b2o7$5bo$4bobo$4b2o2$2b6o$bo6bo$obo3b2obo$
bo6bo$2b6o2$4b2o$4bobo$5bo!
The middle was R2-D2, by the way.
Reduced 1 and monomerized 2 of the p7s:

Code: Select all

x = 67, y = 62, rule = B3/S23-a5
34bo25bo$32b3o2bo21bobo$32bobobobo19bobobo$36bobo19bo3bo$29b2o5bob2o15b
2ob2o2bob2o$29bo6bobo16bobo4bobobo$28b3o5bobo19b4o3bo$36bob2o$30b6o2b
o21b2o$29bo8bo21bobo$30b8o23bo$32bo2bo37$6b2o$6bobo$8bo$8bob2obo$8bob
ob2o$6b3obo$2o3bob4o$o4b2o$b6o$6bo$3b4o$3bo$4bo$3b2o!
EDIT: reduced the monomerization of the top p7
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Re: Travelling Ts(b3s23-a5) and its variants

Post by I6_I6 » January 25th, 2026, 2:03 am

mmmmmmmmm wrote:
January 24th, 2026, 10:37 pm
...
Reduced 1 and monomerized 2 of the p7s:

Code: Select all

x = 67, y = 62, rule = B3/S23-a5
34bo25bo$32b3o2bo21bobo$32bobobobo19bobobo$36bobo19bo3bo$29b2o5bob2o15b
2ob2o2bob2o$29bo6bobo16bobo4bobobo$28b3o5bobo19b4o3bo$36bob2o$30b6o2b
o21b2o$29bo8bo21bobo$30b8o23bo$32bo2bo37$6b2o$6bobo$8bo$8bob2obo$8bob
ob2o$6b3obo$2o3bob4o$o4b2o$b6o$6bo$3b4o$3bo$4bo$3b2o!
EDIT: reduced the monomerization of the top p7
The second one is just burloaferimeter.

Code: Select all

#C [[ THEME Golly ]]
x = 27, y = 15, rule = LifeHistory
8.A$A6.A.A$3A4.BA2B.B2D$3.A4.2B.2B2DB$2.2A2.3B.6B2.3B$2.20B$4.19B$4.2B
C10BD4B$4.2B2C10BD4B$4.B2C11B2D3B$4.13B2D4B$5.12BD3B.B2A$6.13B3.BA.A$
6.3B.B3.B10.A$25.2A!
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Re: Travelling Ts(b3s23-a5) and its variants

Post by PK22 » January 25th, 2026, 8:37 am

P10 T shuttle dimer in 16G:

Code: Select all

x = 186, y = 38, rule = B3/S23-a5
85bo$83b2o$84b2o2$14bo$12bobo55bo$13b2o56b2o$70b2o47bo$117b2o$28bobo
87b2o$28b2o$29bo$15bo$16b2o96bo$15b2o97bo60bo$114bo61bo$bo117b3o52b3o$
2bo116b2obo$3o106b3o7bo2bo$8bobo109b2o$9b2o72b3o91bo$9bo66b3o4bo20bo
71bobo$53bobo20b2obo4bo19b2o62bo7bo2bo$54b2o20bo2bo23bobo6b3o51bobo8b
2o3b3o$54bo22b2o33b2obo51b2o4b2o7b2obo$112bo2bo56bo2bo6bo2bo$113b2o58b
obo7b2o$174bo$69b3o$69b2obo$69bo2bo102b3o$70b2o103b2obo$5b2o168bo2bo$
6b2o168b2o$5bo$49bo18b2o$49b2o17bobo$48bobo17bo!
And a monomer in 9G:

Code: Select all

x = 199, y = 39, rule = B3/S23-a5
159bo$157b2o$61bo96b2o$59bobo$60b2o11$bo182b2o10b2o$o120b2o60bo2bo8bo
2bo$3o117bo2bo59bob2o7bobobo$120bob2o60b3o3b2o5bo$121b3o3b2o60bo2bo3bo
$126bo2bo60bobo$91b2o34bobo61bo$90bo2bo34bo$4bo86bobo$3b2o87bo$3bobo
186b3o$192bo$193bo3$135b2o$136b2o$83b2o50bo$83bobo$83bo74b2o$158bobo$
60bo97bo$60b2o$59bobo!
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Re: Travelling Ts(b3s23-a5) and its variants

Post by hotcrystal0 » January 25th, 2026, 2:53 pm

Reduced SKOP 66 (68 cells to 66):

Code: Select all

x = 26, y = 19, rule = B3/S23-a5
21bo$20bobo$9bo10bo2bo$8bobo10b2o$2b2o3bo2bo$bo6b2o6b3o$2obo12bo$o3bo
7bo2b2o$bob2o7bo5bo$3bo8b3o3b3o$b2o11bo5bo$16b2o2bo$16bo$14b3o6b2o$22b
o2bo$10b2o10bobo$9bo2bo10bo$10bobo$11bo!
wherever I go on the internet I bring with myself nothing but problems.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!

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Re: Travelling Ts(b3s23-a5) and its variants

Post by ThePlayzr » January 26th, 2026, 12:34 am

PK22 wrote:
January 25th, 2026, 8:37 am
P10 T shuttle dimer in 16G:

Code: Select all

x = 186, y = 38, rule = B3/S23-a5
85bo$83b2o$84b2o2$14bo$12bobo55bo$13b2o56b2o$70b2o47bo$117b2o$28bobo
87b2o$28b2o$29bo$15bo$16b2o96bo$15b2o97bo60bo$114bo61bo$bo117b3o52b3o$
2bo116b2obo$3o106b3o7bo2bo$8bobo109b2o$9b2o72b3o91bo$9bo66b3o4bo20bo
71bobo$53bobo20b2obo4bo19b2o62bo7bo2bo$54b2o20bo2bo23bobo6b3o51bobo8b
2o3b3o$54bo22b2o33b2obo51b2o4b2o7b2obo$112bo2bo56bo2bo6bo2bo$113b2o58b
obo7b2o$174bo$69b3o$69b2obo$69bo2bo102b3o$70b2o103b2obo$5b2o168bo2bo$
6b2o168b2o$5bo$49bo18b2o$49b2o17bobo$48bobo17bo!
The edgeshoot here is so insanely good that we can actually synthesize the p10 SKOP, with 18G:

Code: Select all

x = 191, y = 48, rule = B3/S23-a5
54bo$52b2o$53b2o3$39bo$40b2o$39b2o3$104bo17bobo$102bobo17b2o$78bo24b2o
18bo52bo$76b2o99bo$77b2o96b3o3$o$b2o70bo26bo39bo37bo$2o71bo25bobo37bo
bo8bobo24bobo$8bo43b3o18bo25bo2bo36bo2bo7b2o17bo7bo2bo$8bobo41bo47b2o
38b2o9bo15bobo8b2o$8b2o26b2o15bo15b2o25b2o38b2o30b2o4b2o6bo$35bo2bo29b
o2bo23bo2bo19bo16bo2bo34bo2bo4bobo$36bobo30bobo24bobo18b2o17bobo5b3o27b
obo4bo2bo$37bo32bo17bo8bo19bobo17bo37bo6b2o4b2o$89bo88b2o8bobo$87b3o51b
o35bo2bo7bo$141bo36bobo$141bo37bo4$136b2o42b3o$137b2o41bo$136bo44bo5$
101b2o$100b2o$102bo3$87b2o$88b2o$87bo!
I don't have much credit for this synthesis though, as basically all the parts were already discovered by PK22.
Please help me prove b3s23-a5 omniperiodic!
Please visit my ruleset and contribute!
User:ThePlayzr
Finally got LLS! Time to do way too much searching!

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