Bunnies

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Bunnies
x = 8, y = 4, rule = B3/S23 o5bo$2bo3bo$2bo2bobo$bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
Pattern type Methuselah
Number of cells 9
Bounding box 8×4
MCPS 11
Lifespan 17332 generations
Final population 1744
L/I 1925.8
F/I 193.8
F/L 0.101
L/MCPS 1575.6
Discovered by Robert Wainwright
Andrew Trevorrow
Year of discovery Unknown

Bunnies is a 9-cell methuselah found by Robert Wainwright. In 1986, Andrew Trevorrow independently discovered rabbits, the generation 1 of bunnies, that also has 9 cells and a smaller bounding box.

Stable pattern

Generation 17332 of bunnies, excluding escaped gliders

The stable pattern that results from bunnies has 1744 cells and consists of 136 blinkers (including 14 traffic lights), 109 blocks, 65 beehives (including three honey farms), 40 gliders, 18 boats, 18 loaves, seven ships, four tubs, three ponds and two toads.[1]

Variants

Generation 13 of bunnies
The common stage of other bunnies variants
Several methuselahs have been discovered later that converge to the bunnies sequence. The bottleneck stage at generation 13 of bunnies appears at generation 91 of bunnies 9, 104 of bunnies 10 (excluding an escaped glider), 106 of bunnies 10a, 112 of bunnies 10b and 146 of bunnies 11 (excluding an escaped glider), together with a hexaplet spark that dies off after another six generations. These methuselahs are tabulated below:
Lifespan (L) Pattern and
discovery information
Bounding box MCPS Initial population (I) Final population (F) L/I F/I F/L L/MCPS
17465
x = 4, y = 6, rule = B3/S23 2bo$2obo$3bo$bobo$o$b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 4 ZOOM 32 ]]
Bunnies 11
Tomas Rokicki, ?[1]
(click above to open LifeViewer)
RLE: here Plaintext: here
4×6 12 11 1749 1587.7 159 0.1 1455.4
17431
x = 9, y = 6, rule = B3/S23 3o$3bob2o$5bo$6bo$7bo$8bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 4 ZOOM 32 ]]
Bunnies 10b
Nick Gotts, November 8, 2019[2]
(click above to open LifeViewer)
RLE: here Plaintext: here
9×6 12 11 1744 1584.6 158.5 0.1 1452.6
17425
x = 7, y = 5, rule = B3/S23 bo$3obo$5bo$o3b2o$6bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 4 ZOOM 32 ]]
Bunnies 10a
Nick Gotts, June 4, 2019[3]
Bounding box reduction
from Aidan F. Pierce[4]
(click above to open LifeViewer)
RLE: here Plaintext: here
7×5 12 10 1744 1742.5 174.4 0.1 1452.1
17423
x = 6, y = 6, rule = B3/S23 3obo$4b2o2$2bobo$3bo$3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 4 ZOOM 32 ]]
Bunnies 10
Tomas Rokicki, ?[1]
(click above to open LifeViewer)
RLE: here Plaintext: here
6×6 12 10 1749 1742.3 174.9 0.1 1451.9
17410
x = 8, y = 7, rule = B3/S23 bo$2o5bo$6bo$6bo$5bo$4bo$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 4 ZOOM 32 ]]
Bunnies 9
Paul Callahan, ?[1]
(click above to open LifeViewer)
RLE: here Plaintext: here
8×7 12 9 1744 1934.4 193.8 0.1 1450.8
17332
x = 8, y = 4, rule = B3/S23 o5bo$2bo3bo$2bo2bobo$bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 4 ZOOM 32 ]]
Bunnies
Robert Wainwright, ?
(click above to open LifeViewer)
RLE: here Plaintext: here
8×4 11 9 1744 1925.8 193.8 0.101 1575.6
17331
x = 7, y = 3, rule = B3/S23 o3b3o$3o2bo$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 4 ZOOM 32 ]]
Rabbits
Andrew Trevorrow, 1986[1]
(click above to open LifeViewer)
RLE: here Plaintext: here
7×3 10 9 1744 1925.7 193.8 0.101 1733.1

Currently, bunnies 10b is the longest-lived known 10-cell methuselah while bunnies 9 is the longest-lived known with 9 or fewer cells. The original form of bunnies 10a has a slightly larger bounding box.

x = 8, y = 5, rule = B3/S23 2bo$ob2obo$6bo$o4b2o$7bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]
Original form of bunnies 10a (click above to open LifeViewer)
RLE: here Plaintext: here

See also

References

  1. 1.0 1.1 1.2 1.3 1.4 Koenig, H. (February 21, 2005). "New Methuselah Records". Game of Life News. Retrieved on January 24, 2009.
  2. Nick Gotts (November 8, 2019). Re: Long-lived methuselahs (discussion thread) at the ConwayLife.com forums
  3. Nick Gotts (June 4, 2019). Re: Systematic survey of small patterns (discussion thread) at the ConwayLife.com forums
  4. Aidan F. Pierce (June 4, 2019). Re: Systematic survey of small patterns (discussion thread) at the ConwayLife.com forums

External links