Methuselahs

R-pentomino

A five-cell seed that takes over one thousand generations to stabilize.

The R-pentomino is the classic proof that small initial conditions can create unexpectedly long histories: five cells in a 3 x 3 box eventually stabilize with 116 cells and six escaping gliders.

Why this 3 x 3 seed matters

The R-pentomino begins with only five live cells inside a 3 x 3 bounding box. That tiny seed stays active for 1,103 generations before stabilizing into 116 live cells and 6 escaping gliders, so it is the cleanest small example of a methuselah on the site.

Methuselahs5 cells3 x 3 box1,103 generations lifespanfinal: 116 cells, including 6 gliders
Category
Methuselahs
Period
Long-lived seed
Movement
bounded
Population
5 cells
Bounding box
3 x 3
Lifespan
1,103 generations
Final state
116 cells, including 6 gliders
Known since
1970

Live pattern

Run R-pentomino here

Start with the canonical seed, step through individual generations, adjust speed, or edit cells on the board without leaving this page.

Simulation status

Generations0
Live cells5
PeriodLong-lived seed

What to watch

  • The first few generations look compact, then the reaction spreads.
  • A large board is needed to avoid boundary effects.
  • The final ash contains still lifes, oscillators, and six escaping gliders.

How to use it

Use it to teach emergent complexity from very small seeds.

Open the pattern in the lab, reduce the speed, and use single-step mode when a phase change is hard to see. The green preview marks births in the next generation; red outlines mark live cells that will die.

Fast answers

Common questions about R-pentomino

What is the 3x3 methuselah in Conway's Game of Life?

The usual answer is the R-pentomino. It begins as five live cells in a 3 x 3 box and stabilizes after 1,103 generations with 116 cells and 6 gliders.

Why is the R-pentomino called a methuselah?

It starts very small but stays active for an unusually long time before settling into final ash and escaping gliders.

What board size should I use for the R-pentomino?

Use a roomy board so debris and gliders are not clipped by the boundary. The live lab starts on a wide board for that reason.