Max

Max
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 ]]
View static image
Pattern type	Spacefiller
Number of cells	187
Bounding box	27 × 27
Static symmetry	Unspecified
Discovered by	Tim Coe
Year of discovery	1995
Rules Outer-totalistic rules B3/S23 – B38/S238 # of rules 22 = 4 Isotropic rules B3-c/S23 – B34q5k6e7e8/S234eqt5ack6cei7e8
Pattern files Plaintext max.cells RLE max.rle

Max is a spacefiller that was found by Tim Coe in October 1995 that fills the plane with zebra stripes. In terms of its 187 cells, it was formerly 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.

In February 2020, Alex Greason and Adam P. Goucher found 26×26 and 25×25 predecessors to Max that improved on the bounding box at the cost of increased population. In April, Mateusz Naściszewski found a 25×25 predecessor with a population of only 215, as well as a Max variant with a 27×27 bounding box but a population of only 183 cells. In November 2021, Rocknlol found several new patterns with LogicLifeSearch which separately break the records for smallest population (151) and bounding box (23×23) of known Max predecessors.

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 Mateusz Naściszewski (click above to open LifeViewer) RLE: here Plaintext: here	x = 27, y = 27, rule = B3/S23 18bo$17b3o$12b3o4b2o$11bo2b3o2bob2o$10bo3bobo2bobo$10bo4bobobobob2o$ 12bo4bobo3b2o$4obobobobo4bo3bob3o$o3bo4b3ob2o9b2o$o5b2o3bobo$bo2bo4b2o 3b2o$8b2obobobobobobob4o$bo2bo4b2o2bo2b2o4bo3bo$o5b2o3bobobo3b2o5bo$o 3bo4b2o2bo2b2o4bo2bo$4obobobobobobob2o$11b2o3b2o4bo2bo$13bobo3b2o5bo$b 2o9b2ob3o4bo3bo$2b3obo3bo4bobobobob4o$2b2o3bobo4bo$2b2obobobobo4bo$5bo bo2bobo3bo$4b2obo2b3o2bo$6b2o4b3o$7b3o$8bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBLAUNCH THUMBSIZE 2 ]] 183-cell Max variant, by Mateusz Naściszewski (click above to open LifeViewer) RLE: here Plaintext: here	x = 27, y = 23, rule = B3/S23 17b2o$17bob2o$12b3o3b2obob2o$11bo2b3o2bobobo$4b2o4bo3b2o5b3o$4bo5bo5bo bobo2bo$b4o7bo5bo$bo7bobo9bo2bobo$3bo2b2ob3ob2o6bobobo$o4bo3bobobo$bob o3bobo2bo2b2o7bo$2bob2o2bo2bobobo2bo2b2obo$2bo7b2o2bo2bobo3bobo$13bobo bo3bo4bo$bobobo6b2ob3ob2o2bo$obo2bo9bobo7bo$8bo5bo7b4o$3bo2bobobo5bo5b o$3b3o5b2o3bo4b2o$3bobobo2b3o2bo$2b2obob2o3b3o$6b2obo$8b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBLAUNCH THUMBSIZE 2 ]] 151-cell 27×23 predecessor, by Rocknlol (click above to open LifeViewer) RLE: here Plaintext: here
x = 25, y = 23, rule = B3/S23 16b2o$11bo5b2o3b2o$4b2o6b2o4b2o$2bo5bobo2b4ob3o2bo$3b3o3b2o2bo8bo$15bo 3bo3bo$4o7bo3bobobobo$o2bo4b3o10bobo$6bobobob2o6bo2b2o$4bobobo3bobo7bo $3obo2b2ob2o3bo$bobo4bobobobobo4bobo$9bo3b2ob2o2bob3o$2bo7bobo3bobobo$ 2o2bo6b2obobobo$bobo10b3o4bo2bo$3bobobobo3bo7b4o$bo3bo3bo$2bo8bo2b2o3b 3o$bo2b3ob4o2bobo5bo$5b2o4b2o6b2o$b2o3b2o5bo$7b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBLAUNCH THUMBSIZE 2 ]] 155-cell 25×23 predecessor, by Rocknlol (click above to open LifeViewer) RLE: here Plaintext: here	x = 25, y = 21, rule = B3/S23 11bo2bob3obobo$16bobo2b2o$2bo6b3ob3obo4bobo$14bobo2bobo2bo$3b3o3bo11bo $2o8b2o4b3o5bo$obo3bobo7bobobo$5b2o4b2o6bo2b2o$2bo3b3o3bo2b2o4bob2o$2b ob2o2b3obobo2bob3ob2o$bo2bo5bobobo5bo2bo$2ob3obo2bobob3o2b2obo$2obo4b 2o2bo3b3o3bo$b2o2bo6b2o4b2o$4bobobo7bobo3bobo$o5b3o4b2o8b2o$3bo11bo3b 3o$o2bobo2bobo$obo4bob3ob3o6bo$2b2o2bobo$2bobob3obo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBLAUNCH THUMBSIZE 2 THUMBZOOM 7.5 ]] 161-cell 25×21 predecessor, by Rocknlol (click above to open LifeViewer) RLE: here Plaintext: here	x = 23, y = 23, rule = B3/S23 14bobobobo$b2o13b2o3b2o$4bo2bo2b2o5bo$b2obo4bo2b2obobo2bobo$4b2obobo2b o2bo2b2o$bo2b3o6bobo3bob2o$o2bo2bob2o2b2o2b2obo2bo$o4b2o2bo5bobo2bobo$ 3o4bobob2o2b2o3bobo$5b3o6bo3b2o$ob3o2bob2o4bo2b2ob2o$obo5b2obob2o5bobo $2ob2o2bo4b2obo2b3obo$3b2o3bo6b3o$obo3b2o2b2obobo4b3o$obo2bobo5bo2b2o 4bo$o2bob2o2b2o2b2obo2bo2bo$2obo3bobo6b3o2bo$3b2o2bo2bo2bobob2o$obo2bo bob2o2bo4bob2o$5bo5b2o2bo2bo$2o3b2o13b2o$2bobobobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBLAUNCH THUMBSIZE 2 ]] 189-cell 23×23 predecessor, by Rocknlol (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.

Image gallery

Max at generation 50

See also

• Halfmax
• Quartermax
• Spacefiller 1

External links

• Max at the Life Lexicon