ConwayLife.com

P134 backrake:


x = 69, y = 71, rule = B2o34m5/S2o46H
o31bo$2o30b2o$3o29b3o$4o28b4o$5o27b5o$6o26b6o$b5o27b5o2$b7o25b7o$o2b4o
2bo22bo2b4o2bo$bob2ob2obo23bob2ob2obo$3bob2obo26bob2obo$2bobo3bobo23b
obo3bobo$4bob2obo26bob2obo$3bobo3bobo23bobo3bobo$7b2o30b2o$6bo3bo27bo
3bo$7b4o28b4o$6bob3obo25bob3obo ...

A 2-state INT rule that has 6 spaceships with distinct speeds, each fitting within a 3x3 bounding box:


x = 68, y = 3, rule = B2e3-ckqy4rz5r/S2-n3eijry5i6a
14bo25b2o10bo12b2o$3o10b3o10b3o10bobo10b2o11b2o$obo10bobo11bo13bo11b2o
10b3o!


The speeds are c/2o, 2c/5o, c/4o, c/4d, c/7d, and c/8d. The c ...

In B2o34m5/S2o46H, the triangle evolves into a p1694 (!) gun of a 4c/28 diagonal ship:

x = 2, y = 2, rule = B2o34m5/S2o46H
ob$2o!


The ship:

x = 8, y = 12, rule = B2o34m5/S2o46H
b2o$obobo2$2b3o$3b2o$2b5o$4b2o$5bo2$6bo2$7bo!


The gun:

x = 9, y = 9, rule = B2o34m5/S2o46H
o2b3o2bo$4b2o$4b3o ...

Here's Roommates, a 3-state outer-totalistic von Neumann neighborhood rule that I invented:


x = 0, y = 0, rule = Roommates
!
@RULE Roommates
@TABLE
n_states:3
neighborhood:vonNeumann
symmetries:permute
var a = {0,1,2}
var b = a
var c = a
var d = a
var e = a
0,1,1,0,0,1
0,2,0,0,0,1
1,1,1,0,0,2
1,2 ...

There’s a slight bug in your table. A state 4 cell is supposed to survive if it has a neighbor sum of 3.

Also, RoommateLife seems like a good name.

EDIT: I think I figured out how rule tables work. Here's the fixed version:


x = 4, y = 4, rule = RoommateLife
2A$A$2A$3.B!
@RULE RoommateLife ...

This is my request, based on my failed attempt to simulate Life on Google Sheets:

Every cell has a value. If the sum of the values of a live cell's neighbors is 2, the cell continues living with the same value. If the sum of the values of a cell's neighbors is 3, whether the cell is live or dead ...

In other news, the p24 T shuttle popped up from one of my nbsearch2a runs, but it's not quite the same oscillator:

x = 17, y = 17, rule = B2e3-cjnq4ary5kn6a/S2-in3ir4jw6k
2o13b2o$o13bobo$bo$4b2o3bo$8b2o3bo$9bo3bo2$3b3o$4bo7bo$11b3o2$3bo3bo$
3bo3b2o$7bo3b2o$15bo$obo13bo$2o13b2o!

Here's a p4, p6 ...

Since apgsearch failed to find infinite growth, I've been thinking of finding a way to quantify the best "finite growth" pattern. I decided that the maximum population attained by a pattern divided by its initial population is a good metric. Here is a series of the best known patterns:


x = 95, y ...

Your 1T loop works at p60 and your 2T loop works at p30. In the p30 loop, the Ts slightly interact:


x = 13, y = 13, rule = B2e3-cjnq4ary5kn6a/S2-in3ir4jw6k
10bo$o10bo$bo$4b2o$4bobo$4b2o2$7b2o$6bobo$7b2o$11bo$bo10bo$2bo!


Also, the possible periods for a 4T loop with the above design are 18n ...

An A's block spark can lane-shift a V:


x = 21, y = 14, rule = B2e3-cjnq4ary5kn6a/S2-in3ir4jw6k
18b3o$18b2o$18bo9$3o$2bo$2bo!


This can be used to create a pair of weakly interacting Vs:


x = 26, y = 18, rule = B2e3-cjnq4ary5kn6a/S2-in3ir4jw6k
23b3o$23b2o$23bo9$5b3o$7bo$7bo2$3o$2bo$2bo!


A ...

The reaction that produces the still life is a T + U synthesis.
EDIT: A T can turn a U into an aircraft carrier:

Hello everyone!

This is a rule I designed to have five distinct small spaceships:


x = 51, y = 4, rule = B2e3-cjnq4ary5kn6a/S2-in3ir4jw6k
bo10b3o9b3o9b3o10bo$3o9bobo11bo10b2o9bobo$26bo11bo10b2o$50bo!


The spaceships are the T, U, V, A, and R in order. Shipping is the isotropic minrule of this ...

Here's the only natural p6 so far in this rule:


x = 10, y = 6, rule = B2ek3i4c/S12cek
3bo$3bo3bo$2o6b2o$2bobobo$2bo2bobo$7bo!


Soup:

x = 16, y = 16, rule = B2ek3i4c/S12cek
bo2bo$2bo4bob2o4bo$o5b3o2bobo$2b2obobobob3o$b3ob2o8bo$2ob2o3bo4bobo$o
b2ob2ob2ob2obo$b2ob4o2b2ob3o$b2obobobobo3bo ...

pifricted wrote: August 1st, 2024, 12:31 am synthesis for 3-bird rake:

Code: Select all

x = 29, y = 34, rule = B2ek3i4c/S12cekHistory
A.A$3A4$.A.A$2.A4$5.A$4.A$4.A$5.A7$7.A20.A$6.A20.A$6.A20.A$7.A20.A4$4.
A20.A$3.A.A18.A.A4$2.3A18.3A$2.A.A18.A.A!

Is there a 2-moon gun?

Is this for Breeder 2 or something else?

Breeder 1:


x = 436, y = 606, rule = B2ek3i4c/S12cek
11bo7bo$3o7bobob3obobo7b3o37bo7bo$obo11bobo11bobo26b3o7bobob3obobo7b3o
$4b4o4bo2bo2bo4b4o30bobo11bobo11bobo$2bo4bo5bo3bo5bo4bo32b4o4bo2bo2bo
4b4o$5b2o4bo7bo4b2o33bo4bo5bo3bo5bo4bo$2bobo6bo7bo6bobo33b2o4bo7bo4b2o ...

Adding B5 to statorless creates an explosive (sometimes) rule with a replicator which evolves from a 5 cell pattern. I wonder what we can create with it?

x = 3, y = 3, rule = B2ek3i4c5/S12cek
o$o$3o!

And there's also a new spaceship

x = 9, y = 8, rule = B2ek3i4c5/S12cek
2$3bo$b2obo$3bo ...

Here's a synthesis of a two-bird puffer:


x = 18, y = 54, rule = B2ek3i4c/S12cek
obo$3o4$bobo$2bo14$15bo$14bo$14bo$15bo7$17bo$16bo$16bo$17bo14$4bo$3bo
bo4$2b3o$2bobo!


I don't know how easy or hard it would be to make with rakes, though.

Another synth for puffrakes:


domino + three Vs from ...

2 rakes shoot v:
x = 94, y = 70, rule = B2ek3i4c/S12cek
21bo$20bobob2o$21bo3bo11bo$7bo14bobo9b2obo$8b2o12bobo9bo$9bo5bo6bobo9b
obo41bo$9bo4bo21bo37b2obobo$8bo5bo21bo25bo11bo3bo$8bo6bo20b2o24bob2o9b
obo14bo$6bo58bo9bobo12b2o$18bo6bo37bobo9bobo6bo5bo$8bo10bo5bo37bo21bo
4bo$18bo44bo21bo5bo ...

Here's a 7-cell infinite growth:


x = 6, y = 4, rule = B2ek3i4c/S12cek
4bo$2bo2bo$2bo2bo$o3bo!


This is the smallest known infinite growth pattern by population.

Here's the one with the smallest known bounding box:


x = 5, y = 4, rule = B2ek3i4c/S12cek
2b3o$bo2bo$bo2bo$ob3o!


Can someone ...

Sawtooth 91:

x = 60, y = 56, rule = B2ek3i4c/S12cek
35bo$35bo4$8bo$8bo2$46b2o3$36bo$27b2o6bo$19b2o14bo2bobo$36bo$38bo2bo13b
o$9bo29b2o13bobo$2o6bo43b2o$8bo2bobo37bo4b2o$9bo$11bo2bo$12b2o13bo17b
o$28bo17bo$27bo17bo2$50bo$36bo13bo$37bo$21b2o13bo$20bo2bo$18bo$17bo2b
obo30bo4b2o$9b2o6bo36b2o ...

Do you mean the 4c/16 growth is on catagolue? I put it there. There were no soups with it when I uploaded the first results from shipcolls. https://catagolue.hatsya.com/object/yl8_2_14_5dff002a696b9ad7235f4ec8d9789352/b2ek3i4cs12cek It also doesn't appear in the thread. Could you link to an ...

Repeat Time 55 V pair reflector.

x = 42, y = 14, rule = B2ek3i4c/S12cek
o26b2o10bo$bo26bo10bo$o26b2o9bo2bo$40bo$40bo$2bo26b2o$3bo26bo$2bo26b2o
3bo$34bo2$24bo$22b2o$25b2o$24bo!



Unfortunately that V pair doesn't appear very often. I use V pair to refer to the following:


x = 7, y = 2, rule ...

Do you mean the 4c/16 growth is on catagolue? I put it there. There were no soups with it when I uploaded the first results from shipcolls. https://catagolue.hatsya.com/object/yl8_2_14_5dff002a696b9ad7235f4ec8d9789352/b2ek3i4cs12cek It also doesn't appear in the thread. Could you link to an ...

Running shipcolls gave a new 4c/16 linear growth - so luckily we have a synthesis right away
x = 107, y = 97, rule = B2ek3i4c/S12cek
31$32bo2bo$32b4o15$17bo$18bo$18bo28bo$17bo28bo$46bo$47bo!

p36 B gun
x = 50, y = 86, rule = B2ek3i4c/S12cek
4$24b2o13$25b2o$24bo2bo17$25b2o$24bo2bo2$33bo$33bo2 ...

I just discovered the first gun for the 4c/16! Here it is:


x = 147, y = 132, rule = B2ek3i4c/S12cek
20b2o10b2o3$22b2o6b2o$21bo3bo2bo3bo$21bo4b2o4bo$21b3o2b2o2b3o$17bo18b
o$17bo18bo$22bobo4bobo$23bo6bo2$24bob2obo$22bo8bo$25b4o12$56b2o$18b2o
b2o8b2ob2obo$37bo$64bo$37bo20b3o3bo ...