GAME of LIFE

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The GAME of LIFE (GoL) is a cellular automaton devised by the British mathematician John Horton Conway in 1970. It is ‘played’ on an infinite two-dimensional grid of square cells; that used for Clarisse is constrained by screen-size. Each cell exists in one of two states: alive or dead. The game evolves in discrete steps called generations. At each step, every cell's status is updated simultaneously based on the states of its eight immediate neighbours - horizontal, vertical, and diagonal - and obeying the 4 rules below. In Clarisse, when a triggering event occurs, i.e. two or more ‘planets’ are eclipsed by the ‘moon’, the planets’ co-ordinates determine the initial seeding pattern for the ensuing GoL in response to a mouse-click. Each cell is assigned a musical pitch. The audio output reflects the life created - if you have the audio ON.

The 4 rules are:

  1. UNDERPOPULATION: Any live cell with fewer than two live neighbours dies.
  2. SURVIVAL: Any live cell with two or three live neighbours lives on to the next generation.
  3. OVERPOPULATION: Any live cell with more than three live neighbours dies.
  4. REPRODUCTION: Any dead cell with exactly three live neighbours becomes a live cell.

During GoL, patterns emerge which are categorised by their behaviour over time. Their taxonomy is extensive and complex. Here are some basics.

  • STILL LIFE. Constant and stable. Patterns that do not change from one generation to the next and are in a state of stable equilibrium. Examples are: Block, Beehive, Loaf, Boat.
  • OSCILLATORS. Cycle through states periodically, forming patterns that return to their initial configuration after a fixed number of generations (the period). Examples: Blinker (period 2), Toad (period 2), Pulsar (period 3).
  • SPACESHIPS. Move and are periodic and mobile. They form patterns that translate themselves across the grid over a set number of generations, maintaining their shape while changing position. Examples: Glider, Lightweight Spaceship.
  • METHUSELAHS. Expand and evolve long-term but are initially unstable. Small, initial patterns evolve into a large number of generations and stabilise into a mix of still lives, oscillators, and spaceships. Examples: R-pentomino, Acorn, Diehard.

If you want more, you can get it straight from the horse's mouth - John CONWAY For more on taxonomy try CATALOGUE of PATTERNS or GoL LEXICON.

“From so simple a beginning endless forms most beautiful and most wonderful have been, and are being, evolved.” Charles DARWIN: ’On the Origin of Species’

Duncan Linklater © 2026