3D Brain

From Softology's collection · B4/S

Nothing survives a generation; births with exactly 4 neighbours spread in waves.

3D Brain in the 3D Game of Life: cells as cubes in a 15×15×15 box, 40 generations in. — After 40 generations from a random fill with 20% of cells alive, in a 15×15×15 box that wraps at its edges: 476 live cells.

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 4 of its neighbours are alive.
No live cell survives: every live cell dies after one generation.

Picking it in the app restarts the world from a random fill with 20% of cells alive. Its seed is fixed, so it is the same world every time, one still alive 40 generations later in the default 15×15×15 box; N tries another seed.

Notation

Birth/survival	`B4/S`
Softology, MCell (S/B/C/N)	`/4/2/M`
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 of Softology's rules

445 B4/S4/C5
Amoeba B5-7,12-13,15/S9-26/C5
Architecture B3/S4-6
Builder 1 B4,6,8-9/S2,6,9/C10
Builder 2 B1/S5-7
Clouds 1 B13-14,17-19/S13-26
Clouds 2 B13-14/S12-26
Coral B6-7,9,12/S5-8/C4
Crystal Growth 1 B1,3/S0-6
Crystal Growth 2 B1,3/S1-2/C5
Pyroclastic B6-8/S4-7/C10
Spiky Growth B13,17,20-26/S0-3,7-9,11-13,18,21-22,24,26/C4

All 30 rules · From 2D to 3D: why Conway's rule needs changing in 3D