Oscillators

Pulsar

A large period-3 oscillator with strong fourfold symmetry.

The pulsar is one of the most recognizable Life patterns. Its period-3 cycle shows how repeated births and deaths can remain bounded.

Pulsar, generation 0. Dark squares are live cells in the initial pattern.
Category
Oscillators
Period
3
Movement
bounded
Population
48 cells
Bounding box
13 x 13
Known since
1970

Exact generation snapshots

Compare the pattern over time

The three phases return to the original 48-cell phase.

These images are computed on an unbounded B3/S23 plane. Each frame is fitted to its own live-cell bounding box; compare the labels rather than the apparent scale.

Pulsar at generation 0, computed with B3/S23 without clipping at a board edge.
Generation 0 · open full image
Pulsar at generation 1, computed with B3/S23 without clipping at a board edge.
Generation 1 · open full image
Pulsar at generation 2, computed with B3/S23 without clipping at a board edge.
Generation 2 · open full image
Pulsar at generation 3, computed with B3/S23 without clipping at a board edge.
Generation 3 · open full image

Live pattern

Run Pulsar 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 cells48
Reference period3

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

  • Run slowly to see the three distinct phases.
  • Notice that the center and diagonals stay empty.
  • The oscillator never emits debris despite a large active surface.

How to use it

Use it as the canonical visual example for bounded periodic motion.

Compare this pattern with its family

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.