Die hard

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Die hard
x = 8, y = 3, rule = B3/S23 6bo$2o$bo3b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
Pattern type Methuselah
Number of cells 7
Bounding box 8×3
MCPS 11
Lifespan 130 generations
Final population 0
L/I 18.6
F/I 0
F/L 0
L/MCPS 11.8
Discovered by Unknown
Year of discovery Unknown

Die hard is a 7-cell methuselah (essentially a collision between a block and the traffic light sequence) that vanishes after 130 generations, which is conjectured to be the limit for vanishing patterns of 7 or fewer cells. Note that there is no limit for higher numbers of cells, as eight cells suffice to have a glider heading towards an arbitrarily distant blinker.

"Die hard" as a general term

Alternatively, "die hard" or "diehard" may refer to any methuselah that eventually vanishes. Soups in Conway's Game of Life lasting at least 500 generations before disappearing completely are reported by apgsearch versions v4.69 and above and referred to as "messless methuselahs" on Catagolue.[1]

As of early 2020, the longest-lasting diehard found in an asymmetric soup (and fitting inside a 16×16 bounding box) is a 1217-tick "C1" soup found by Rob Liston on January 10, 2020.[2] The longest-lasting symmetric diehard (fitting inside a 32×32 bounding box) is a 1638-tick "C4_1" soup found by carybe on March 29, 2019.[3]

[[:RLE:Diehard1217]] #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 600 ]]
Asymmetric 1217-tick diehard (click above to open LifeViewer)
RLE: here Plaintext: here
[[:RLE:Diehard1638]] #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 600 ]]
Symmetric 1638-tick diehard (click above to open LifeViewer)
RLE: here Plaintext: here

In other rules

In HighLife, despite the instability of the traffic light sequence, the die hard still works, disappearing after 119 generations.

References

  1. Ian07 (December 11, 2018). Re: apgsearch v4.0 (discussion thread) at the ConwayLife.com forums
  2. Billabob (January 10, 2020). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  3. Ian07 (April 6, 2019). Re: Soup search results (discussion thread) at the ConwayLife.com forums

External links