Sparse
Classic rule · B6/S5
Thin filaments that rarely thicken.
How the rule works
- Each cell has 26 neighbours: every cell that shares a face, an edge or a corner with it (the Moore neighbourhood).
- An empty cell comes alive when exactly 6 of its neighbours are alive.
- A live cell stays alive when exactly 5 of its neighbours are alive; otherwise it dies.
It has no start of its own: it opens on the world you have, and Random shape tries others.
Notation
| Birth/survival | B6/S5 |
|---|---|
| Softology, MCell (S/B/C/N) | 5/6/2/M |
| Weighted counting | B18/S15 (faces count 3, edges 2, corners 1) |
| Neighbourhood | Moore (26 cells) |
B lists the neighbour counts at which an empty cell is born, S those at which a live cell survives, and C the number of states. How to read a rule
More classic rules
- Standard
B4-5/S4-6 - Stable
B4/S4-5 - Chaotic
B3-6/S2-5 - Die-Off
B5-6/S5-6 - Explosive
B2-6/S1-6 - Crystal
B5/S3-5 - Pulsating
B4-6/S3-4 - Maze
B3-4/S3-4
All 30 rules · From 2D to 3D: why Conway's rule needs changing in 3D