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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).

x=3, y = 2, rule = tlife bo$3o! #C [[ THEME 6 GRID COLOR GRID 229 229 229 COLOR GRIDMAJOR 229 229 229 ]] #C [[ AUTOSTART GPS 5 ZOOM 32 Y -6 THUMBNAIL LOOP 120 HEIGHT 800 ]]

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 a skewed variant. 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 exist eaters for the glider, T, and ant.

The only spaceship other than the glider known to function in both CGOL and tlife is the crab.


There is a common statorless rotating period-160 oscillator that often evolves from a loaf predecessor or a honey farm predecessor. Multiple copies of this oscillator can be combined to form interesting patterns such as guns, higher-period oscillators, and glider or T duplicators. A single copy can also reflect a glider or T, or convert it into the other. There is also a somewhat similar period 33, several p20s based on a failed replicator, a p14 shuttle, small rule-specific period 3, 4, 5, 6, and 8 oscillators, and an infinitely extensible family of oscillators consisting of replicating signals traveling up and down two diagonal lines of connected blocks.

Infinite growth

As mentioned above, multiple copies of the period 160 oscillator can interact to form guns. There exist guns for the glider and the T consisting of only two copies, as well as two double-barreled T guns. By combining multiple basic guns, larger guns have been formed for the ant, c/2, 2c/6, disemiMWSS and skewed variants, as well as pairs of interacting T's. A period 231 T gun is also known, using an over-unity reaction supported by reflectors formed from the p33 oscillator.

Several puffers are known, all traveling at c/2 orthogonal and using one of two known engines: one or more B-heptominoes escorted by at least two disemiMWSSs, or a Schick engine-like tagalong to a pair of disemiMWSSs. These engines can be perturbed by still more disemiMWSSs to form rakes for the glider and the T, as well as presumably for other spaceships.

A sawtooth has been constructed, Sawtooth 1761.

There is a breeder consisting of four Schick puffer-based glider rakes repeatedly synthesizing double-barreled T guns.

No wickstretchers or spacefillers are known.

Similar rules

Various rules similar to tlife have been constructed.


This rule is commonly known as "tHighLife" or "Thigh Life", due to it sharing a B6 transition with HighLife.

Very interestingly, it has a simple orthogonal replicator which replicates at 4c/11 orthogonal, very similarly to HighLife's own replicator. AbphzTa used this to construct a 4c/11 orthogonal spaceship.


This rule is commonly known as "tdrylife", taking its B7 from DryLife.

Unlike DryLife, it is not explosive, and has a lot of very interesting patterns.

Many interesting spaceships have been constructed in this rule. For example, there is a 2c/23 orthogonal spaceship involving the T trying to escape a pre-beehive. AbphzTa used this spaceship to create other patterns moving at this speed.

A c/2 orthogonal spaceship based on 2 B-heptominoes has been seen to occur naturally.

It has a ?c/240 diagonal glide symmetric pond puffer, which is actually the century. It parallels the R-pentomino based 9c/28 orthogonal pond puffer from DryLife. No spaceships have been made from this as of yet.

Most interestingly, there is a (2,6)c/21 (slope 3) ship puffer. This can be stabilised into various interesting patterns, such as the MTEK (Muzik's Two-Engine Knightship), an oblique spaceship. Also, Alexey Nigin has created a quadratic growth pattern which uses oblique spaceships to create pond puffers, based on a reaction discovered by Rhombic.

External links