ConwayLife.com

muzik wrote: July 27th, 2026, 8:59 am Are there rules where diagonally-symmetric patterns explode, but orthogonally-symmetric patterns do not?

x = 6, y = 85, rule = B2ce3ey4ejw/S1e2e3e
2bo$bobo$obobo$bobobo$2bobo$3bo74$3bo$2bobo$bobobo$obobo$bobo$2bo!

x = 6, y = 84, rule = B2ce3ey4ejw/S1e2e3e
2bo$bobo$obobo$bobobo$2bobo$3bo73$3bo$2bobo$bobobo$obobo$bobo$2bo!

Rhombicubocta wrote: July 28th, 2026, 3:04 pm *snip*

Do any rules have small explosive growth patterns that are so rare naturally that soups almost never explode?

NNlk05 wrote: June 24th, 2026, 3:27 am *snip*
Which boils down to:

Code: Select all

x = 5, y = 13, rule = B2ci3ac45n78/S02i3ak678
obo2$obo5$o2bo3$bo$3o$bo!

Do 2D Replicators always mean a rule is explosive?

How are any symmetries in dry life searchable when even small asymmetric patterns can explode?

NNlk05 wrote: July 28th, 2026, 10:18 pm

Rhombicubocta wrote: July 28th, 2026, 3:04 pm How are any symmetries in dry life searchable when even small asymmetric patterns can explode?

None, I think. A soup on a bounded grid is searchable, though.

NNlk05 wrote: July 31st, 2026, 4:36 amhorsemen.png

hotcrystal0 wrote: July 31st, 2026, 11:20 am

NNlk05 wrote: July 31st, 2026, 4:36 amhorsemen.png

Why are rules explosive under D2 symmetry relatively common anyways?

hotcrystal0 wrote: August 2nd, 2026, 3:53 pm Not sure if this goes here, but how are demonoids using orthogonal spaceships as signals for single-channel usually constructed (both Life and engineered OCA)? I plan on constructing one for hc0_Univ (following the orthogonoid) but I still don’t really have a blueprint.

NNlk05 wrote: August 2nd, 2026, 6:30 pm See this demononid puffer in Sticky.

hotcrystal0 wrote: August 2nd, 2026, 8:02 pm I still don’t get it, as it’s not an actual demonoid spaceship.

x = 143, y = 117, rule = B/S012345678
116bo$116b4o$119b4o$123b2o6b8o$83b2o6b24o9bo5bo7b3o$82b2ob4o26b10o4bo
10bo$80b2o7b2o29b3o5bo12bo$79bo11bo7b2o19bo6bo13bo$78bo12bo6bo20b2o5b
2o14bo$78bo12bo5b9o20bo15bo$77bo14bo3b2o8b18o2bo15bo$76bo14bo5b2o27bo
15bo$76bo14bo6bo27bo15bo$76bo14bo34bo14bo$76b2o12b2o34bo14bo$77bo12bo
35bo14bo$78b2o9bo37bo12b2o$80b3o2b4o38b2o10b2o$83b2o44b3o6b2o$132b6o4$
59b4o$58b2o3bo$57bo6b2o$57bo8bo$56bo10bo$56bo10bo38b13o$56bo11bo35b2o
11b2o$55bo12b2o33bo13b2o$55bo13bo32bo13bo2bo$56bo11bo33bo13bo2bo$56bo
11bo32b2o13bo3bo$56bo11bo32bo14bo3bo$56bo11bo32bo13bo4b2o$57bo9bo46bo
6bo$58b2o7bo46bo7bo$42bo16b4ob3o2bo44bo7bo$42b2o19bo5bo43bo$43b2o24bo
43bo$45bo23bo43bo$46b2o21bo43bo$48b2o13bo5bo42bo$48b2o12b3o4bo41bo$45b
3o13b2ob2o3bo40bo$43b3o2b2o14bobo2bo39bo$41b2o5bo15bobo2bo36b3o$40b2o
5bo16bo4bo34b2o$39bo6bo17bo4bo31b3o$38bo7bo17bo4bo28b3o$37bo6b2o18bo4b
o26b2o$36bo7bo19bo4bo25bo$34b2o7bo19bo5bo14b11o$33bo8b2o19bo5bo$32bo8b
2o20bo5bo$31bo31bo5bo$30bo32bo5bo$29bo33bo5bo$28bo34bo5bo$27bo35bo5bo
$27bo35bo5bo$26bo36bo4bo$25bo37bo4bo3b2o$24bo38bo4bo3bo$23bo39bo4bo3b
o$22bo40bobo2bo2b2o$22bo40bob4o2bo$22bo40bo3b2o2bo$22bo40bo3b2o2bo$22b
o40bo4bobo$22bo45b3o$22bo$22bo35b8o$22bo33b2o7b2o$22bo33bo10bo$22bo32b
o12bo$22bo32bo13bo$22bo32bo14bo$22bo31bo15bo$22bo31bo15bo$22bo31bo15b
o$22bo31bo15bo$22bo31bo15bo$22bo31bo15bo$22bo32bo13b2o$22bo32b2o12bo$
22bo33b2o10b2o$22bo34b4o5b2o$61b5o8$40bo$40b4o$43b4o$47b2o6b8o$7b2o6b
24o9bo5bo7b3o$6b2ob4o26b10o4bo10bo$4b2o7b2o29b3o5bo12bo$3bo11bo7b2o19b
o6bo13bo$2bo12bo6bo20b2o5b2o14bo$2bo12bo5b9o20bo15bo$bo14bo3b2o8b18o2b
o15bo$o14bo5b2o27bo15bo$o14bo6bo27bo15bo$o14bo34bo14bo$2o12b2o34bo14b
o$bo12bo35bo14bo$2b2o9bo37bo12b2o$4b3o2b4o38b2o10b2o$7b2o44b3o6b2o$56b
6o!
[[ GRID THEME Inverse ]]

NNlk05 wrote: July 1st, 2026, 7:32 pm

https://www.muye.dev wrote: July 1st, 2026, 7:12 pm are there spaceships/peroid 3 oscillator in B345678/S

It should be possible.

Rhombicubocta wrote: August 3rd, 2026, 7:37 pm

NNlk05 wrote: July 1st, 2026, 7:32 pm

https://www.muye.dev wrote: July 1st, 2026, 7:12 pm *snip*

*snip*

*snip*

Are there any other periods know in B345678/S?

Is there someway to prove every pattern in this rule is p2?

hotcrystal0 wrote: August 2nd, 2026, 8:02 pm I still don’t get it, as it’s not an actual demonoid spaceship.

islptng wrote: October 28th, 2024, 3:35 am Guys!
NEW SPEED: 64c/9896d

It now fits into normal LifeViewer without [[ MAXGRIDSIZE 14 ]] instruction!
In fact, the demonoid is easier than the orthogonoid!

Code: Select all

*demonoid*

Rhombicubocta wrote: August 5th, 2026, 7:55 pm Are rules like B1e/S123i where every pattern grows, but without quadratic growth apgsearchable?
(...)

(...)
Chaotic-growth pattern detected: zz_LINEAR
Chaotic-growth pattern detected: zz_LINEAR
Chaotic-growth pattern detected: zz_LINEAR
Chaotic-growth pattern detected: zz_LINEAR
Chaotic-growth pattern detected: zz_LINEAR
Chaotic-growth pattern detected: zz_LINEAR
Chaotic-growth pattern detected: zz_LINEAR
Chaotic-growth pattern detected: zz_LINEAR
Chaotic-growth pattern detected: zz_LINEAR
Chaotic-growth pattern detected: zz_LINEAR
b1es123i/C1: 85 soups completed (5.947 soups/second current, 5.947 overall).

confocaloid wrote: October 26th, 2023, 10:26 am One property of 3/4 Life is that the birth and survival conditions are the same, so the current state of a cell does not affect the new state of the same cell one tick later.

NNlk05 wrote: August 7th, 2026, 6:01 am

confocaloid wrote: October 26th, 2023, 10:26 am One property of 3/4 Life is that the birth and survival conditions are the same, so the current state of a cell does not affect the new state of the same cell one tick later.

Can someone explain this better? I am confused.

1and0nlycordershippr wrote: August 8th, 2026, 8:49 am Is there a rule which two spaceships, one orthogonal, one diagonal, both of them having the same speed, can be made into a shuttle where the diagonal SS is reflected by the orthogonal SS and back?

pifricted wrote: August 8th, 2026, 9:24 am

1and0nlycordershippr wrote: August 8th, 2026, 8:49 am Is there a rule which two spaceships, one orthogonal, one diagonal, both of them having the same speed, can be made into a shuttle where the diagonal SS is reflected by the orthogonal SS and back?

https://conwaylife.com/forums/viewtopic ... 93#p159293 have both orthogonal and diagonal examples.

Rhombic wrote: July 7th, 2017, 1:22 pm Are spaceships possible in either of these rules?

MAPAj8PAX6IQhRIiAYFSgEnFAiJFQVQCKCEdhBixcgA5RQBlgwBCBTgECaQwEGIDSEUyJmWAchIQaTkWKJQAwgiJA
MAPAj8PAX6IQhRIiAYFSgEnFAiJFSVQCKCEdhBixcgA5RQBngwBCBTgECaQwEGIDSEUyJmWAchIQaTkWKJQAwgiJA

x = 8, y = 9, rule = MAPAj8PAX6IQhRIiAYFSgEnFAiJFQVQCKCEdhBixcgA5RQBlgwBCBTgECaQwEGIDSEUyJmWAchIQaTkWKJQAwgiJA
6bo$4bo$4b2o$3bo2bo$6b2o$b2o2bobo$4b2o$o4bo$bobo!

x = 25, y = 9, rule = MAPAj8PAX6IQhRIiAYFSgEnFAiJFSVQCKCEdhBixcgA5RQBngwBCBTgECaQwEGIDSEUyJmWAchIQaTkWKJQAwgiJA
2bo2bo2bo6bo$o2bo2bo4bo3bob2o5bo$3bobob2obobo2b2o2bo4bo$bo3bo2b2o5bo2b
o5bo$8bo2b4o4bo$o5bo6b2o4b2o3bo$2bo20bo$12bo7bo3bo$18bo3bo!