Integer construction: Difference between revisions

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Created page with "{{Glossary}} 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.<ref>{{cite web|url=http://oeis.org/A126803/a126803.pdf|title=Une suite pour la vie|author=Eric Angelini}}</ref><ref>{{cite web|url=https://conwayl..."
 
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|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 GPS 11 PAUSE 3 LOOP 121 AUTOSTART HEIGHT 500 ]]
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 GPS 11 PAUSE 3 LOOP 121 AUTOSTART HEIGHT 500 ]]
|caption      = Integer construction for [[LWSS]] (3207) and [[MWSS]] (94714).
|caption      = Integer construction for [[LWSS]] (3207) and [[MWSS]] (94174).
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Revision as of 00:24, 17 February 2023

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.[1][2][3][4][5]

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)

References

  1. ↑ Eric Angelini. "Une suite pour la vie".
  2. ↑ "Dean Hickerson's Life Page: Digits in Life".
  3. ↑ Lewis Patterson (June 7, 2009). 'Life Digits' (discussion thread) at the ConwayLife.com forums
  4. ↑ Life Digits at Game of Life News. Posted by Heinrich Koenig on March 03, 2007.
  5. ↑ Life Digits update at Game of Life News. Posted by Heinrich Koenig on April 03, 2007.
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