E-heptomino

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E-heptomino
b3o$2o$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
Pattern type Methuselah
Number of cells 7
Bounding box 4 × 3
MCPS 7
Lifespan 343 generations
Final population 52
L/I 49
F/I 7.4
F/L 0.152
L/MCPS 49
Static symmetry C1
Discovered by John Conway
Year of discovery 1970

E-heptomino (or E) is a semi-common heptomino named by John Conway.[1] It stabilizes at generation 343, leaving behind four beehives, five blocks, one blinker and one escaping glider.[2]

The following is a pattern that eventually becomes the immediate child of the E-heptomino sequence in 19 generations, putting them 18 generations apart. It has two six-cell great-great-grandparents (3bo$2b2o2$bo$2o! and 2bo$2b2o2$bo$2o!).

x = 4, y = 4, rule = B3/S23 3o$3bo$o2bo$2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 8 THUMBSIZE 2 ]]
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RLE: here Plaintext: here

The following is a pattern that converges to the E-heptomino sequence, but in a completely different way. Generation 22 of this pattern is generation 12 of the E-heptomino; both are a lumps of muck and a block, but the lumps of muck form in completely different ways.

x = 5, y = 5, rule = B3/S23 2bo$bob2o$o3bo$bobo$2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 8 THUMBSIZE 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here

Here is E-heptomino at generation 343, stabilized except for an escaping glider:

E-heptomino at generation 343

Hasslers

While census.rle places the most common E-heptomino predecessor at rank #52, the E-heptomino is more common than that in octo3obj, placing it somewhere between 15th and 20th. One E-heptomino hassler is known. It was found by Period1GliderGun on September 29, 2024 based on a partial by Nora Brown on October 29, 2022. It has period 412, and the large p4 sparkers only delete junk.

x = 79, y = 79, rule = B3/S23 58b2o$58bobo$55b2obo3bo$55bobobo$57bobob2o$57bob2o$24bo30b2obo2bo$17bo 4b3o31bo2bo$16bobo2bo34bobobo$15bo2bo2bob2o30b2o3b2o$15bobo4bobo28bo3b 2o3bo$14b2obob2obo12bo7bo8bob2o2b2o3bo$17bo4b2o11b3o4b2o8bobob2o3bobo$ 17bob3o16bo3b2o9bo8bo$16b2obo2bo14b2o3bo12b4o8bo$11b2o2bo7bo32bo6bo3b 3o$3bo6bobo3b3o3bo30bo8bobo5bo$2b2o3bo3bo6b8o26bo2bo6bob5o2bo$2bo2b3o 3bo14bo25bobo5bobo6b2o$o2b3o5b2o11b3o36b3o2bo$3o4b4ob2o7bo2b2o27bo3bo 4b2o2bobo$3b3o4bobob2o5b4obo28b3o11b2o$2bo3b4o2bo10bo2bo25b2ob3obo3bo 3b2o2bo$2b2o2bo2bobo3b2o4bobob2o34bobob2o2bobo$11bobo4bobo4b2o26b2o6bo 6b2ob2o$10bo2bo3b2ob2ob2obo14b3o8bo5b2obo$11b2o5bobobo2b2o14bobo7b2obo b2o2bo$24bobo14bob2o6b7o$42bo10b3o7$11b3o52b2o$12b3o51bo$64bobo$64b2o 2$13b2o$12bobo$12bo51b3o$11b2o52b3o7$23b3o10bo$21b7o6b2obo14bobo$18bo 2b2obob2o7bobo14b2o2bobobo5b2o$17bob2o5bo8b3o14bob2ob2ob2o3bo2bo$6b2ob 2o6bo6b2o26b2o4bobo4bobo$7bobo2b2obobo34b2obobo4b2o3bobo2bo2b2o$7bo2b 2o3bo3bob3ob2o25bo2bo10bo2b4o3bo$8b2o11b3o28bob4o5b2obobo4b3o$10bobo2b 2o4bo3bo27b2o2bo7b2ob4o4b3o$10bo2b3o36b3o11b2o5b3o2bo$8b2o6bobo5bobo 25bo14bo3b3o2bo$7bo2b5obo6bo2bo26b8o6bo3bo3b2o$8bo5bobo8bo30bo3b3o3bob o6bo$9b3o3bo6bo32bo7bo2b2o$11bo8b4o12bo3b2o14bo2bob2o$16bo8bo9b2o3bo 16b3obo$15bobo3b2obobo8b2o4b3o11b2o4bo$15bo3b2o2b2obo8bo7bo12bob2obob 2o$16bo3b2o3bo28bobo4bobo$17b2o3b2o30b2obo2bo2bo$18bobobo34bo2bobo$19b o2bo31b3o4bo$17bo2bob2o30bo$18b2obo$16b2obobo$19bobobo$16bo3bob2o$18bo bo$19b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 60 WIDTH 500 HEIGHT 500 ZOOM 6 ]]
As described above
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Catagolue: here

See also

References

  1. ↑ Robert Wainwright (March 1971). Lifeline, vol 1, page 1.
  2. ↑ Robert Wainwright (June 1971). Lifeline, vol 2, page 1.