Difference between revisions of "T-tetromino"

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{{Pattern|name=T-tetromino|pname=ttetromino|discoverer=John Conway|discoveryear=1970|c=4|bx=3|by=2|life105=true|life106=true|plaintext=true|rle=true}}
{{Pattern
'''T-tetromino''' is one of 5 [[Polyomino#Tetrominoes|tetrominoes]]. It is a common [[predecessor]] of the [[traffic light]], and when paired with another T-tetromino it can become a predecessor of the [[pulsar]].
|name         = T-tetromino
|pname       = ttetromino
|c            = 4
|bx          = 3
|by          = 2
|discoverer   = John Conway
|discoveryear = 1969
|rulemin      = B3/S23
|rulemax      = B37/S02378
|rulespecial  = [[Conway's Game of Life|Conway Life]]
|isorulemin  = B3aeijr/S23aeiy
|isorulemax  = B2ik34-cew5-e6-n7/S0234-aeinw5-eiy6-c78
|plaintext   = true
|rle         = true
|viewerconfig = #C [[ HEIGHT 400 THUMBSIZE 3 ZOOM 42 ]]
}}
'''T-tetromino''' is one of the five [[tetrominoes]]. In [[Game of Life]] it is a common [[predecessor]] of the [[traffic light]], and when paired with another T-tetromino it can become a [[pre-pulsar]].


In a cylindrical grid with a width of 6, the T-tetromino is always a [[replicator]].  It copies itself on the 15th and 40th generations of every 40 generations.  However, because it leaves behind [[block]]s, [[blinker]]s, and [[spark]]s, it does cleanly replicate itself until after 200 generations.  It acts much the same way as the replicator in [[Highlife]] because the two copies of the T-tetromino appear offset in opposite directions of the original.  Also, two replicators will destroy each other if they are next to each other.  The T-tetromino replicates orthogonally and 35 cells away from the original.
It is the one-tick descendant of the [[T-pentomino]] and a [[parent]] of [[bullet heptomino]].


==In other rules==
The T-tetromino can also be used as a [[still life component]] if the birth sites are blocked, however stabilisations of it tend to be quite large. The flat side can be suppressed via [[induction coil]]s such as a [[bookend]], and the two L-shaped regions can be stabilised similarly to an [[aircraft carrier]].
In the [[non-totalistic Life-like cellular automaton]] [[tlife]], the T-tetromino is an extremely common [[c/5 orthogonal]] [[spaceship]].


==See also==
== In other rules ==
*[[Pre-pulsar]]
The T-tetromino exhibits interesting behaviour in other [[Life-like rule]]s. It is a [[c/4 orthogonal]] [[spaceship]] in 32 totalistic rules, B345/S126 to B345678/S12678, with the tip of the T being the [[trailing edge]]; it is also a c/4 [[orthogonal]] spaceship in various [[isotropic non-totalistic rule]]s, though it evolves differently.


==External links==
In the non-totalistic rule {{rl|tlife}}, the T-tetromino is an extremely common [[c/5 orthogonal]] spaceship, with the tip of the T being the [[leading edge]].
{{LinkLexicon|lex_t.htm#ttetromino}}
 
{{LinkCatagolue|xq5_27|rule=b3s2-i34q}}
In some non-totalistic rules like B3/S23-a6c, the T-tetromino evolves into a 5-cell [[c/2 orthogonal]] spaceship with a dot spark behind the tip.
 
== External links ==
* {{LinkLexicon|lex_t.htm#ttetromino}}
* {{LinkCatagolue|xq5_27|rule=b3s2-i34q}}
* {{LinkCatagolue|xq4_27|rule=b345s126}}
* {{LinkEppstein|26}}
 
[[Category:Polyominoes]]
{{Symmetry|orthogonal2}}

Latest revision as of 16:04, 21 March 2023

T-tetromino
x = 3, y = 2, rule = B3/S23 3o$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THUMBSIZE 3 ZOOM 42 ]]
View static image
Pattern type Miscellaneous
Number of cells 4
Bounding box 3 × 2
Discovered by John Conway
Year of discovery 1969

T-tetromino is one of the five tetrominoes. In Game of Life it is a common predecessor of the traffic light, and when paired with another T-tetromino it can become a pre-pulsar.

It is the one-tick descendant of the T-pentomino and a parent of bullet heptomino.

The T-tetromino can also be used as a still life component if the birth sites are blocked, however stabilisations of it tend to be quite large. The flat side can be suppressed via induction coils such as a bookend, and the two L-shaped regions can be stabilised similarly to an aircraft carrier.

In other rules

The T-tetromino exhibits interesting behaviour in other Life-like rules. It is a c/4 orthogonal spaceship in 32 totalistic rules, B345/S126 to B345678/S12678, with the tip of the T being the trailing edge; it is also a c/4 orthogonal spaceship in various isotropic non-totalistic rules, though it evolves differently.

In the non-totalistic rule tlife, the T-tetromino is an extremely common c/5 orthogonal spaceship, with the tip of the T being the leading edge.

In some non-totalistic rules like B3/S23-a6c, the T-tetromino evolves into a 5-cell c/2 orthogonal spaceship with a dot spark behind the tip.

External links

Retrieved from "https://conwaylife.com/w/index.php?title=T-tetromino&oldid=127425"