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Revision as of 10:02, 16 February 2020 by Dvgrn (talk | contribs) (Mention spacefillers with smaller bounding boxes)
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x = 27, y = 27, rule = B3/S23 18bo$17b3o$12b3o4b2o$11bo2b3o2bob2o$10bo3bobo2bobo$10bo4bobobobob2o$ 12bo4bobo3b2o$4o5bobo4bo3bob3o$o3b2obob3ob2o9b2o$o5b2o5bo$bo2b2obo2bo 2bob2o$7bobobobobobo5b4o$bo2b2obo2bo2bo2b2obob2o3bo$o5b2o3bobobo3b2o5b o$o3b2obob2o2bo2bo2bob2o2bo$4o5bobobobobobo$10b2obo2bo2bob2o2bo$13bo5b 2o5bo$b2o9b2ob3obob2o3bo$2b3obo3bo4bobo5b4o$2b2o3bobo4bo$2b2obobobobo 4bo$5bobo2bobo3bo$4b2obo2b3o2bo$6b2o4b3o$7b3o$8bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
Pattern type Spacefiller
Number of cells 187
Bounding box 27×27
Discovered by Tim Coe
Year of discovery 1995

Max is a spacefiller that was found by Tim Coe[1] in October 1995 that fills the plane with zebra stripes. In terms of its 187 cells, it is tied with spacefiller 2 as the smallest known spacefiller, and in terms of its 27×27 bounding box it was the outright smallest for many years.[2]

On February 16, 2020, Alex Greason and Adam P. Goucher found 26x26 and 25x25 predecessors to Max that improved on the bounding box at the cost of increased population.[3]

x = 25, y = 25, rule = B3/S23 6bo5bo3b3o2bo$7bob4obo2b2o2b3o$8b2ob2o2bo3bob2o$9bo4b3obo3bo$6bo7bobob obobobo$bo2bo3bo3b3obo2b5o$o4b3o2bo2bo2bo$o2bobob4o2bobo3bo3b2o$3ob2o 7bo$3bo2b4obo3bo2bo4bo$6bobobo2bo2bo7bo$3bo2b5obobobo2bobo2bo$3ob2o6bo 6b2ob3o$o2bobo2bobobob5o2bo$o7bo2bo2bobobo$bo4bo2bo3bob4o2bo$11bo7b2ob 3o$2o3bo3bobo2b4obobo2bo$8bo2bo2bo2b3o4bo$b5o2bob3o3bo3bo2bo$obobobobo bo7bo$2bo3bob3o4bo$2b2obo3bo2b2ob2o$b3o2b2o2bob4obo$3bo2b3o3bo5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBLAUNCH THUMBSIZE 2 ]]
A smaller but higher-population grandparent
of the Max spacefiller, by Adam P. Goucher
(click above to open LifeViewer)
RLE: here Plaintext: here

Alternatively, the term Max may be used to describe whatever the smallest-known spacefiller is at the current time. The term represents the fact that the growth rate is the fastest possible of any pattern in Conway's Game of Life.[4]

Image gallery

Max at generation 50

See also


  1. "Coe's improvements on the spacefiller". Paul Callahan. Retrieved on June 10, 2011.
  2. Spacefiller.lif in Alan Hensel's pattern collection.
  3. Adam P. Goucher. "Discord #cgol board". Conwaylife Lounge. Retrieved on February 16, 2020.
  4. "Max". The Life Lexicon. Stephen Silver. Retrieved on May 24, 2009.

External links