Difference between revisions of "R-pentomino"
m (→Stable pattern: added glider counts) |
m (Added a see also and bounding box) |
||
| Line 1: | Line 1: | ||
__NOTOC__{{Methuselah|name=R-pentomino|pname=rpentomino|l=1103|c=5|discoveryear=1970|life105=true|life106=true|plaintext=true|rle=true}} | __NOTOC__{{Methuselah|name=R-pentomino|pname=rpentomino|l=1103|c=5|bx=3|by=3|discoveryear=1970|life105=true|life106=true|plaintext=true|rle=true}} | ||
The '''R-pentomino''' is by far the most active [[polyomino]] with less than six [[cell]]s; all of the others stabilize in at most 10 [[generation]]s, but the R-pentomino does not do so until generation 1103, by which time it has a population of 116. | The '''R-pentomino''' is by far the most active [[polyomino]] with less than six [[cell]]s; all of the others stabilize in at most 10 [[generation]]s, but the R-pentomino does not do so until generation 1103, by which time it has a population of 116. | ||
| Line 18: | Line 18: | ||
==See also== | ==See also== | ||
*[[Glider]] | |||
*[[List of longest-lived methuselahs]] | *[[List of longest-lived methuselahs]] | ||
Revision as of 23:47, 9 February 2009
| 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 | Unknown | ||||||
| Year of discovery | 1970 | ||||||
| |||||||
The R-pentomino 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.
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 grandfathers 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 grandfathers 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.
Generation 1103
See also
External links
- New Methuselah Records at Game of Life News
- R-pentomino at the Life Lexicon