Space nonfiller

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A space nonfiller is any pattern that expands indefinitely to affect all but finitely many cells in the Life plane, but leaves an expanding region of vacuum at its center. It is so named because the first known example is equivalent to a spacefiller that fills the plane with empty space.

The first nonfiller was discovered by Jason Summers on April 14, 1999:


x = 37, y = 31, rule = B3/S23 19b3o$18bo2bo$12b3o6bo4b3o$12bo2bobo3bo4bo2bo$12bo2bobo3bo4bo2bo$10bo 10bo2bobob3o$10b2o2b2o2bobo4bo5bo$8bo16b2o2b3o$8b3obob2o10bo6bo$6bo8bo 9bobo3b3o$6b3o5bo10bo8bo$3bobo25bob3o$2b5obo26bo$b2o6bo21b5o$2o4b2o18b obo$bobo3bo2bo15bo2bo3bobo$8bobo18b2o4b2o$b5o21bo6b2o$bo26bob5o$b3obo 25bobo$2bo8bo10bo5b3o$3b3o3bobo9bo8bo$3bo6bo10b2obob3o$5b3o2b2o16bo$5b o5bo4bobo2b2o2b2o$6b3obobo2bo10bo$7bo2bo4bo3bobo2bo$7bo2bo4bo3bobo2bo$ 8b3o4bo6b3o$15bo2bo$15b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 2 THEME 6 HEIGHT 640 WIDTH 640 ZOOM 16 GRID ]]
The first nonfiller, discovered by
Jason Summers on April 14, 1999
(click above to open LifeViewer)
RLE: here Plaintext: here

In August 2020, Adam P. Goucher found that, by placing a die hard inside the empty space whose evolution covers the center of the nonfiller, a pattern can be constructed with the property that every cell in the universe (as opposed to all but finitely many cells) is alive at some point in the pattern's evolution but eventually turns dead permanently.[1]

x = 63, y = 57, rule = B3/S23 32b3o$32bo2bo$25b3o4bo6b3o$24bo2bo4bo3bobo2bo$24bo2bo4bo3bobo2bo$23b3o bobo2bo10bo$22bo5bo4bobo2b2o2b2o$22b3o2b2o16bo$20bo6bo10b2obob3o$20b3o 3bobo9bo8bo$18bo9bo10bo5b3o$18b3o28bo$16bo6b2o4bo17b3o$16b3o5bob2obo 21bo$14bo9bo3b2o7b2o10b3o$14b3o8b2ob2o7b2o14bo$12bo8b3o2bob2o21b3o$12b 3o6b2o2b3o4b2o21bo$10bo19b2ob2o7b2o9b3o$10b3o11bobob4obo8b2o13bo$8bo 16b2o6bo9bo3bo7b3o$8b3o6b2o7bo5b2o6bo4b3o11bo$6bo10b2o20bo2bobo12b3o$ 6b3o29b3ob3obo13bo$3bobo25bo10bo3bo10bob3o$2b5obo12bo6bo3b3o5bo2b3o15b o$b2o6bo10b5o3bo11bo2b5o9b5o$2o4b2o12bo3bo3bo11b2o10bobo$bobo3bo2bo10b 2o4bo3bo3bo4b2o10bo2bo3bobo$8bobo10b2o11bo3bo3bo12b2o4b2o$b5o9b5o2bo 11bo3b5o10bo6b2o$bo15b3o2bo5b3o3bo6bo12bob5o$b3obo10bo3bo10bo25bobo$2b o13bob3ob3o29b3o$3b3o12bobo2bo20b2o10bo$3bo11b3o4bo6b2o5bo7b2o6b3o$5b 3o7bo3bo9bo6b2o16bo$5bo13b2o8bob4obobo11b3o$7b3o9b2o7b2ob2o19bo$7bo21b 2o4b3o2b2o6b3o$9b3o21b2obo2b3o8bo$9bo14b2o7b2ob2o8b3o$11b3o10b2o7b2o3b o9bo$11bo21bob2obo5b3o$13b3o17bo4b2o6bo$13bo28b3o$15b3o5bo10bo9bo$15bo 8bo9bobo3b3o$17b3obob2o10bo6bo$17bo16b2o2b3o$19b2o2b2o2bobo4bo5bo$19bo 10bo2bobob3o$21bo2bobo3bo4bo2bo$21bo2bobo3bo4bo2bo$21b3o6bo4b3o$27bo2b o$28b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 THEME 6 HEIGHT 640 WIDTH 640 ZOOM 10 GRID ]]
Space nonfiller plus die hard
(click above to open LifeViewer)
RLE: here Plaintext: here

In September 2021, Rocknlol found new patterns based on predecessors which separately break the records for smallest population (209) and bounding box (33x27) of a nonfiller.[2]

Also see

References

  1. Adam P. Goucher (August 5, 2020). Pure nonfillers (discussion thread) at the ConwayLife.com forums
  2. Rocknlol (September 19th, 2021). Pure nonfillers (discussion thread) at the ConwayLife.com forums

External links