Integer construction

The integer construction of a pattern is a string of Life Digits, separated by an empty column, that evolves into the pattern. "Life Digits" is a Game of Life font developed by Eric Angelini in 2007. Angelini and Dean Hickerson collaborated, leading to the discovery of many integer constructions.

x = 37, y = 5, rule = B3/S23 3obob3ob3obobob3ob3ob3ob3ob3o$obobo3bo3bobobobo3bo5bobobobobo$obobob3o b3ob3ob3ob3o3bob3ob3o$obobobo5bo3bo3bobobo3bobobo3bo$3obob3ob3o3bob3ob 3o3bob3ob3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]

The Life Digits font (click above to open LifeViewer) RLE: here Plaintext: here

Examples

x = 23, y = 20, rule = B3/S23 3ob3o13bo$obobobo13bo$3obobo13bo$2bobobo13bo$3ob3o13bo11$3o17b3o$2bo 17bobo$3o17bobo$o19bobo$3o17b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 GPS 6 PAUSE 3 LOOP 66 AUTOSTART HEIGHT 500 ]] Integer construction for glider (90), traffic light (1), pulsar (0), and two boats (2). (click above to open LifeViewer)

x = 67, y = 25, rule = B3/S23 3ob3ob3ob3o$2bo3bobobo3bo$3ob3obobo3bo$2bobo3bobo3bo$3ob3ob3o3bo16$50b 3obobobob3obobo$50bobobobobo3bobobo$50b3ob3obo3bob3o$52bo3bobo3bo3bo$ 50b3o3bobo3bo3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 GPS 11 PAUSE 3 LOOP 121 AUTOSTART HEIGHT 500 ]] Integer construction for LWSS (3207) and MWSS (94174). (click above to open LifeViewer)

x = 15, y = 5, rule = B3/S23 obob3ob3ob3o$obo3bobobobobo$obob3obobobobo$obo3bobobobobo$obob3ob3ob3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 GPS 5 PAUSE 3 LOOP 55 AUTOSTART ]] Integer construction for four eaters. (click above to open LifeViewer)

x = 23, y = 5, rule = B3/S23 ob3ob3ob3ob3ob3obo$obo5bobo3bo3bo3bo$ob3ob3ob3ob3ob3obo$obobo3bo3bobob obobobo$ob3ob3ob3ob3ob3obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 GPS 6 PAUSE 3 LOOP 66 AUTOSTART ]] Integer construction for land of lakes. (click above to open LifeViewer)

External Links

• Syntheses/life-integer-constructions.rle from Golly's pattern collection
•  A126803 - Integers that die when submitted to the rules of the Game of Life