Still lifes

Beehive

A six-cell still life with a compact hexagonal outline.

The beehive shows that stability does not require a solid rectangle. The empty center is protected because it never has exactly three live neighbors.

Category
Still lifes
Period
1
Movement
bounded
Population
6 cells
Bounding box
4 x 3
Known since
1970

Live pattern

Run Beehive 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 cells6
Reference period1

Measured on this board

No complete repeat observed yet. The detector compares up to 128 recent shapes.

Outside this finite board, cells are held dead. Reference facts describe the preset on an unbounded plane; measured repeats describe this board.

Share or embed this experiment

Create a paused copy of the current board, generation and speed. The link contains the cells; there is no account or server-side save.

What to watch

  • The outside cells all keep legal neighbor counts.
  • The empty center remains empty across every generation.
  • It appears often in random soups and oscillator catalysts.

How to use it

Use it to explain why empty cells only come alive with exactly three neighbors.

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.