Die hard

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Die hard
Die hard image
Pattern type Methuselah
Number of cells 7
Bounding box 8×3
Lifespan 130 generations
L/I 18.6
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 2019, the longest-lasting diehard found in an asymmetric soup (and fitting inside a 16×16 bounding box) is a 1152-tick "C1" soup found by Adam P. Goucher on February 11, 2019.[2] The longest-lasting symmetric diehard (fitting inside a 32×32 bounding box) is a 1545-tick "C4_4" soup found by carybe on February 12.[3]

x = 16, y = 16, rule = B3/S23 bob4ob2o2bo$b5obo2b3o2bo$bo2b2o7bo$3obobobobob4o$o2b2obo4bob3o$2ob2o2b 3obob3o$b5ob4o$b2obobo2bo2b2o$3bob2ob3o2b2o$2b3o2bob3o$2obo2b3o2bobobo $b4obo4bob3o$bo4bo2b2o3bo$bob3o2b2o2bo$2bo2bobob2o4bo$bobo2bob3o2bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 600 ]]
Asymmetric 1152-tick diehard (click above to open LifeViewer)
x = 32, y = 32, rule = B3/S23 o2bobobob3ob2o2bo5b4o4bo$b2o4b3obob7ob2o2bobo2bo$3b4ob4o4bob3o2b2o5bo$ 3b3o2b2o3bob2obob2ob2o2b3obo$bob6obobob4o6b6o$o3bob2o3bob3o2bobo3b2ob 3obo$2o2b2o5b2ob4o8b2obo$ob4ob5o2bo2bobob4ob2o2b2o$ob2o3bob2ob3o2b4obo bo2b4o$bo5b2o3bo5b3o2b2o3b4o$bobo3bo3b3o2b2o2bo2b2o2bobobo$2b2obo2b3ob ob2o3bobo2b3o2b3o$b2o4b3obobo3bo2b4obobo$b3obo2b2o3bo2bob2obobo2bobob 2o$2o2bob3obobo7bo2b5o2b2o$b4obo3bo2bo6bo4b4obo$bob4o4bo6bo2bo3bob4o$ 2o2b5o2bo7bobob3obo2b2o$2obobo2bobob2obo2bo3b2o2bob3o$4bobob4o2bo3bobo b3o4b2o$3o2b3o2bobo3b2obob3o2bob2o$obobo2b2o2bo2b2o2b3o3bo3bobo$4o3b2o 2b3o5bo3b2o5bo$b4o2bobob4o2b3ob2obo3b2obo$2o2b2ob4obobo2bo2b5ob4obo$2b ob2o8b4ob2o5b2o2b2o$ob3ob2o3bobo2b3obo3b2obo3bo$2b6o6b4obobob6obo$ob3o 2b2ob2obob2obo3b2o2b3o$bo5b2o2b3obo4b4ob4o$bo2bobo2b2ob7obob3o4b2o$o4b 4o5bo2b2ob3obobobo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 600 ]]
Symmetric 1545-tick diehard (click above to open LifeViewer)

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. Re: apgsearch v4.0 (discussion thread) at the ConwayLife.com forums
  2. Dave Greene. Re: Soup search results (discussion thread) at the ConwayLife.com forums
  3. Ian07. Re: Soup search results (discussion thread) at the ConwayLife.com forums

External links