GalaxyLife
Posted: September 22nd, 2020, 7:17 am
A 2-color symmetrical stable rule that augments Conway's Game of Life with stable glider emitting "cores" that allow small patterns to live for millions of generations. The rules:
1. A cell of a certain color is born, if surrounded by 3 cells or that color or 5 cells of of the same color and 1 cell of the other color, in which cases the newborn cell takes the majority color (e.g. 5 red cells and 1 blue cell give birth to a red cell; 5 blue cells and 1 red cell give birth to a blue cell).
2. A cell survives, if surrounded by 2 or 3 live cells of any color.
3. A cell survives, if surrounded by 4,5,6,7 or 8 cells of any color, unless all its neighbors have the same color (not necessarily the same as the surviving cell).
Here is an example of a 20x20 soup that lives for 3,878,271 generations:
Judging by Symbiosis, a wonderful rule by wwei23 I've discovered for myself just yesterday, this new rule should also have many interesting patterns. Some of Symbiosis oscillators work in GalaxyLife as well (with very different periods though):
P210:
Still lifes as stators:
EDIT:
A small glider gun:
1. A cell of a certain color is born, if surrounded by 3 cells or that color or 5 cells of of the same color and 1 cell of the other color, in which cases the newborn cell takes the majority color (e.g. 5 red cells and 1 blue cell give birth to a red cell; 5 blue cells and 1 red cell give birth to a blue cell).
2. A cell survives, if surrounded by 2 or 3 live cells of any color.
3. A cell survives, if surrounded by 4,5,6,7 or 8 cells of any color, unless all its neighbors have the same color (not necessarily the same as the surviving cell).
Here is an example of a 20x20 soup that lives for 3,878,271 generations:
Code: Select all
x = 20, y = 20, rule = GalaxyLife
B.B7.A3.A$BA.AB.A.B6.A2.B$2.B2.B3.A5.B3.B$B3.2A.A2.A.A.A2.BAB$.ABAB2.
2BA2BA3.BA$.2A2.B7.A.2B2.A$B.BAB4.A2.B6.B$2A2.B6.A.ABA2.2A$.BAB.2B5.A
2.2BA$.A2.A2.A4.2BA2.A.A$.B2.B.BA3.B.2ABA$B4.B2.B3.AB3.2A$2B3A.A.A.B
4.A$2B.B8.B3.B2A$AB11.B3.A$4.A4.A.B2A.A$.A2.2B.3B5.BA.A$.A10.A2.B3.A$
.A7.2BA5.A$6.B.B.A.A2.B2.2A!P210:
Code: Select all
x = 31, y = 29, rule = GalaxyLife
$13.B.A.B$12.B.3A.B$11.B.5A.B$10.B.A2.A2.A.B$9.B.A.5A.A.B$8.B.A2.A3.A
2.A.B$7.B.A2.A5.A2.A.B$6.B.A.A9.A.A.B$5.B.A15.A.B$4.B.A2.A3.2A.2A3.A
2.A.B$3.B.A.2A3.A.A.A.A3.2A.A.B$4.2A.A4.2A3.2A4.A.2A$3.5A15.5A$4.2A.A
4.2A3.2A4.A.2A$3.B.A.2A3.A.A.A.A3.2A.A.B$4.B.A2.A3.2A.2A3.A2.A.B$5.B.
A15.A.B$6.B.A.A9.A.A.B$7.B.A2.A5.A2.A.B$8.B.A2.A3.A2.A.B$9.B.A.5A.A.B
$10.B.A2.A2.A.B$11.B.5A.B$12.B.3A.B$13.B.A.B!Code: Select all
x = 82, y = 23, rule = GalaxyLife
6$53.2B$9.B42.4B$9.2A17.2A21.B4.B$8.A.A18.AB19.B.4B.B7.2B2.2B$9.2AB
15.A.A10.2A7.B.B.2A.B.B6.6B$11.B2A13.A3.A8.A7.2B.BA2.AB.2B6.B2AB$12.A
11.B2.2A.B.A8.2A5.2B.BA2.AB.2B6.B2AB$9.2A.2A9.5A3.A9.B2A5.B.B.2A.B.B
6.6B$8.A.2A12.2BA23.B.4B.B7.2B2.2B$8.A2BA14.2A23.B4.B$7.A44.4B$53.2B!A small glider gun:
Code: Select all
x = 11, y = 21, rule = GalaxyLife
5$4.2A.B.2A$4.A.4A$5.B.AB2A$4.B.BABA$5.B.3A$4.A.3A$5.B3.A$10.A$5.2A$
5.B.B$6.A!