Difference between revisions of "R-pentomino"
(it releases other gliders) |
(→External links: symmetry cat) |
||
| Line 30: | Line 30: | ||
{{LinkWeisstein|R-Pentomino.html}} | {{LinkWeisstein|R-Pentomino.html}} | ||
{{LinkLexicon|lex_r.htm#rpentomino}} | {{LinkLexicon|lex_r.htm#rpentomino}} | ||
[[Category:Asymmetric patterns]] | |||
Revision as of 06:31, 1 June 2011
| R-pentomino | |||||||
| View static image | |||||||
| Pattern type | Methuselah | ||||||
|---|---|---|---|---|---|---|---|
| Number of cells | 5 | ||||||
| Bounding box | 3 × 3 | ||||||
| Lifespan | 1103 generations | ||||||
| L/I | 220.6 | ||||||
| Discovered by | John Conway | ||||||
| Year of discovery | 1970 | ||||||
| |||||||
| |||||||
The R-pentomino is a methuselah that was found by John Conway in 1970.[1] It is by far the most active polyomino with less than six cells; all of the others stabilize in at most 10 generations, but the R-pentomino does not do so until generation 1103, by which time it has a population of 116. The glider it releases in generation 69, noticed by Richard K. Guy, was the first glider ever observed.
Predecessors
The R-pentomino has several different small predecessors which are of note because they naturally have a longer lifespan. There are three 5-cell grandparents of the R-pentomino (which each have a lifespan of 1105 generations) and three 6-cell predecessors that evolve into the R-pentomino after 5 generations (and thus have a total lifespan of 1108).
 The three 5-cell grandparents of the R-pentomino. |
 Three 6-cell predecessors that each evolve into the R-pentomino at generation 5. |
Stable pattern
The stable pattern that results from the R-pentomino has 116 cells and consists of eight blocks, six gliders, four beehives, four blinkers, one boat, one loaf, and one ship.
See also
References
- ↑ Gardner, M. (1983). "The Game of Life, Part III". Wheels, Life and Other Mathematical Amusements: 219, 223, W.H. Freeman.
External links
- New Methuselah Records at Game of Life News
- R-pentomino at the Life Lexicon