ConwayLife.com

Posted: **May 11th, 2026, 12:30 pm**

B3: p1 c/2d spaceship, p16 rotating oscillator

x = 35, y = 7, rule = R3,C0,S,B3,N@AA02A8154055
28bo5bo$2bobo$28bo5bo$o$28bo5bo$o$30bo3bo!

B3,10 is explosive, but B3,11 is not.

B4,5: four p2s, a p4, and a p5 c/10d

Code: Select all

x = 125, y = 10, rule = R3,C0,S,B4-5,N@AA02A8154055
63bobo$19bobobo18bo$63bo3bo21bobobo$40bo3bo73bo3bo$obobobo56bo3bo27bo$
17bo7bo12bo7bo77bo$65bobo27bo$40bo3bo73bo3bo$89bobobo$19bobobo18bo77bo!

B4,6: two p2s and two p2 flipping c/2d, and a p2 c/2o

Code: Select all

x = 122, y = 10, rule = R3,C0,S,B4,6,N@AA02A8154055
115bobo2$43bo5bo21bobo18bo3bo20bobo$o20bo$45bobo21bo3bo18bo3bo16bo$o
18bobo$45bobo19bobo20bobo28bo$o22bobo$43bo5bo17bo22bo28bo$o18bo3bo!

B4,6,13: p432

Code: Select all

x = 119, y = 67, rule = R3,C0,S4,6,13,B4,6,13,N@AA02A8154055
32bo53bo2$36bo45bo2$30bo11bo33bo11bo2$28bo5bo7bo33bo7bo5bo2$28bobobobo
7bo33bo7bobobobo2$28bobo3bo5bobo33bobo5bo3bobo2$34bobo3bo37bo3bobo14$
4bobobo3bo93bo3bobobo2$4bo9bo89bo9bo2$16bo41bobo41bo2$o17bo39bobo39bo
17bo2$o17bo39bobo39bo17bo2$16bo41bobo41bo2$4bo9bo89bo9bo2$4bobobo3bo
93bo3bobobo14$34bobo3bo37bo3bobo2$28bobo3bo5bobo33bobo5bo3bobo2$28bobo
bobo7bo33bo7bobobobo2$28bo5bo7bo33bo7bo5bo2$30bo11bo33bo11bo2$36bo45bo
2$32bo53bo!

B6 allows escaping the bounding diamond; B7 does not.

Posted: **May 11th, 2026, 5:01 pm**

p4 in B3:

Code: Select all

x = 9, y = 9, rule = R3,C0,S,B3,N@AA02A8154055
obo2$6bo4$8bo2$8bo!

p8, p12, p36 in B4,5:

Code: Select all

x = 67, y = 13, rule = R3,C0,S,B4-5,N@AA02A8154055
38bo$6bo51bo$36bobo$obobo3bobobo41bo7bo$34bobobobo$obobo3bobobo49bobo$
34bobobobo$6bo55bobo$32bobo3bo$58bo3bobobo$34bobobo2$36bo!

p20 in B4,6:

Code: Select all

x = 11, y = 11, rule = R3,C2,S,B4,6,N@aa02a8154055
4bo2$8bobo4$o7bo2$2bo2$2bobo!

Posted: **May 12th, 2026, 2:31 am**

p58 in B4,6,13:

Code: Select all

x = 23, y = 23, rule = R3,C0,S4,6,13,B4,6,13,N@AA02A8154055
10bobo2$10bobo2$10bobo2$6bo3bobo3bo4$obobobo9bobobobo2$obobobo9bobobob
o4$6bo3bobo3bo2$10bobo2$10bobo2$10bobo!

Edit (2026/05/12 09:05): Not quite sure about the status of this c/7d:

Code: Select all

x = 10, y = 14, rule = R3,C0,S,B4-5,N@AA02A8154055
4bo2$2bobo2$o5bo2$2bobo$7bo2$5bobobo2$5bo3bo2$7bo!

The ship needs cells on both checkerboards to function.

Posted: **May 12th, 2026, 5:21 am**

hibiscus wrote: ↑
May 12th, 2026, 2:31 am
Edit (2026/05/12 09:05): Not quite sure about the status of this c/7d:
Code: Select all
x = 10, y = 14, rule = R3,C0,S,B4-5,N@AA02A8154055
4bo2$2bobo2$o5bo2$2bobo$7bo2$5bobobo2$5bo3bo2$7bo!
The ship needs cells on both checkerboards to function.

A variant exists where the sides are symmetric (but still retains the problem)

Code: Select all

x = 14, y = 14, rule = R3,C0,S,B4-5,N@AA02A8154055
4bo2$2bobo2$o5bo2$2bobo$9bo2$7bo3bobo2$7bo3bo2$9bo!

Posted: **May 12th, 2026, 7:10 am**

Having cells on both checkerboards is invalid; this is an emulation of a range-1.5 Margolus rule.

To have the grids act completely independently, set the survival conditions to the same as the birth conditions.

Posted: **May 12th, 2026, 8:56 am**

hotdogPi wrote: ↑
May 12th, 2026, 7:10 am
Having cells on both checkerboards is invalid; this is an emulation of a range-1.5 Margolus rule.

This is allowed:

Code: Select all

x = 68, y = 13, rule = R3,C2,S,B4-5,N@aa02a8154055
38b2o$6b2o50b2o$36b4o$6o2b6o40b2o6b2o$34b8o$6o2b6o48b4o$34b8o$6b2o54b
4o$32b4o2b2o$58b2o2b6o$34b6o2$36b2o!

Posted: **May 12th, 2026, 10:10 am**

Two of these rules have been very briefly apgsearched:

B3
https://catagolue.hatsya.com/census/xrealr1p5c2sb3
B4,6
https://catagolue.hatsya.com/census/xr1p5c2sb3

Posted: **May 13th, 2026, 1:03 am**

Forgot to post this yesterday: 10c/62o spaceship in B4,7-8

Code: Select all

x = 25, y = 15, rule = R3,C0,S4,7-8,B4,7-8,N@AA02A8154055
4bo2$2bo3bo9bo5bo2$o3bo3bo5bo3bobo3bo2$o3bo3bo5bo3bo3bo2$o3bo3bo5bo3bo
3bo2$o3bo3bo5bo3bobo3bo2$2bo3bo9bo5bo2$4bo!

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