Torus: Difference between revisions
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{{Glossary}} | {{Glossary}} | ||
[[Image:torus_glider.gif|framed|right|A [[glider]] travelling on an 8×8 torus]]A '''torus''', as it applies to [[Conway's Game of Life|Life]], usually refers to a finite Life [[universe]] (i.e. one of the [[bounded grids]]) that takes the form of an m × n rectangle with the bottom edge considered to be joined to the top edge and the left edge joined to the right edge, so that the universe is topologically a torus. There are also other less obvious ways of obtaining a toroidal universe. | [[Image:torus_glider.gif|framed|right|A [[glider]] travelling on an 8×8 torus]] | ||
A '''torus''', as it applies to [[Conway's Game of Life|Life]], usually refers to a finite Life [[universe]] (i.e. one of the [[bounded grids]]) that takes the form of an m × n rectangle with the bottom edge considered to be joined to the top edge and the left edge joined to the right edge, so that the universe is topologically a torus. There are also other less obvious ways of obtaining a toroidal universe. | |||
The following pattern demonstrates how diagonal and orthogonal | The following pattern demonstrates how diagonal and orthogonal [[spaceship]]s travel in a toroidal universe. | ||
{{EmbedViewer | {{EmbedViewer | ||
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==External links== | ==External links== | ||
{{LinkLexicon|lex_t.htm#torus}} | * {{LinkLexicon|lex_t.htm#torus}} | ||
{{LinkWikipedia|Torus}} | * {{LinkWikipedia|Torus}} | ||
{{LinkGollyHelp|bounded.html|title=Bounded grids}} | * {{LinkGollyHelp|bounded.html|title=Bounded grids}} | ||
[[Category:Topologies]] | [[Category:Topologies]] | ||
Revision as of 09:01, 3 June 2022
A torus, as it applies to Life, usually refers to a finite Life universe (i.e. one of the bounded grids) that takes the form of an m × n rectangle with the bottom edge considered to be joined to the top edge and the left edge joined to the right edge, so that the universe is topologically a torus. There are also other less obvious ways of obtaining a toroidal universe.
The following pattern demonstrates how diagonal and orthogonal spaceships travel in a toroidal universe.
| (click above to open LifeViewer) RLE: here Plaintext: here |
External links
- Torus at the Life Lexicon
- Torus at Wikipedia
- Bounded grids at Golly's online help