The Generations algorithm supports rules similar to Life but with an extra history component that allows cells to have up to 256 states. The rule notation is "0..8/1..8/n" where the 1st set of digits specify the live neighbor counts necessary for a cell to survive to the next generation. The 2nd set of digits specify the live neighbor counts necessary for a cell to be born in the next generation. The final number n specifies the maximum number of cell states (from 2 to 256).

Here are some example rules:

2367/3457/5 |
[Banners] | - an exploding rule by Mirek Wojtowicz. | ||

234/34678/24 |
[Bloomerang] | - an expanding rule by John Elliott. | ||

/2/3 |
[Brian's Brain] | - a chaotic rule by Brian Silverman. | ||

124567/378/4 |
[Caterpillars] | - a chaotic rule by Mirek Wojtowicz. | ||

23/2/8 |
[Cooties] | - an exploding rule by Rudy Rucker. | ||

2/13/21 |
[Fireworks] | - an exploding rule by John Elliott. | ||

12/34/3 |
[Frogs] | - a chaotic rule by Scott Robert Ladd. | ||

12345/45678/8 |
[Lava] | - an expanding rule by Mirek Wojtowicz. | ||

012345/458/3 |
[Lines] | - a stable rule by Anders Starmark. | ||

345/2/4 |
[Star Wars] | - an exploding rule by Mirek Wojtowicz. | ||

3456/2/6 |
[Sticks] | - an exploding rule by Rudy Rucker. | ||

345/26/5 |
[Transers] | - an exploding rule by John Elliott. | ||

1456/2356/16 |
[Xtasy] | - an exploding rule by John Elliott. |

Other rules in this family, along with more detailed descriptions, can be found at Mirek Wojtowicz's MCell website. See also the Patterns/Generations folder which contains a number of interesting patterns extracted from the MCell pattern collection.