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tlife rule
Rulestring 2-i34q/3
Character Chaotic

tlife is a non-totalistic Life-like cellular automaton devised by M. I. Wright on September 6, 2015. It is very closely related to the much more commonly known rule Conway's Game of Life, differing by only two transitions. It is likely the best-studied non-totalistic Life-like cellular automaton.


tlife is identical to Life in all transitions, save for two:

  • Cells with two adjacent cells in a straight line (as in blinker) will die, and
  • Cells with four adjacent cells (as in the dense phase of beacon) will survive.

The two differing transitions, illustrated:

000            110
111 -> 0       110 -> 1
000            001


Although many patterns from Conway Life still function identically in tlife, some do not; for example, the blinker dies in tlife, and the beacon evolves into an 8-cell still life. Conversely, some patterns from tlife work in normal Life, but some do not.

The glider exists in tlife, and there are two other basic elementary spaceships: a slightly bigger c/4 diagonal called ant and a c/5 orthogonal (the T-tetromino, usually called simply T).

Alongside these, other elementary spaceships have been discovered. One such spaceship, which travels at c/2 orthogonal, is dubbed the disemiMWSS, referencing the fact it looks like two middleweight spaceships interacting with each other. There is also another c/2 orthogonal spaceship that evolves from a phase of the queen bee. Other important spaceships include chains of interacting Ts, a small 2c/6 orthogonal ship, and a small-to-medium c/4 orthogonal ship.

There is also a statorless rotating period-160 oscillator that evolves from a loaf predecessor. Multiple copies of this oscillator can be combined to form guns for the T and for the glider.

External links