Torus: Difference between revisions
Jump to navigation
Jump to search
link spaceship; consistent formatting for bulleted lists |
see also, t3383, formatting |
||
| Line 1: | Line 1: | ||
{{Glossary}} | {{Glossary}} | ||
[[Image:torus_glider.gif|framed|right|A [[glider]] travelling on an 8 | [[Image:torus_glider.gif|framed|right|A [[glider]] travelling on an {{times|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 | 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 {{times|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 [[spaceship]]s travel in a toroidal universe. | The following pattern demonstrates how diagonal and orthogonal [[spaceship]]s travel in a toroidal universe. | ||
{{EmbedViewer | {{EmbedViewer | ||
|pname = torus | |pname = torus | ||
|viewerconfig = #C [[ AUTOSTART THUMBSIZE 2 ZOOM 4 WIDTH 600 HEIGHT 600 GPS 60 LOOP 801 ]] | |viewerconfig = #C [[ AUTOSTART THUMBSIZE 2 ZOOM 4 WIDTH 600 HEIGHT 600 GPS 60 LOOP 801 ]] | ||
|position = center | |||
|style = width:300px; | |||
}} | }} | ||
==See also== | |||
* [[Achim Flammenkamp's census]] | |||
==External links== | ==External links== | ||
| Line 15: | Line 19: | ||
* {{LinkWikipedia|Torus}} | * {{LinkWikipedia|Torus}} | ||
* {{LinkGollyHelp|bounded.html|title=Bounded grids}} | * {{LinkGollyHelp|bounded.html|title=Bounded grids}} | ||
* {{LinkForumThread|f=7|t=3383|title=Small Tori in B3/S23}} | |||
[[Category:Topologies]] | [[Category:Topologies]] | ||
Revision as of 13:04, 22 March 2023
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 |
See also
External links
- Torus at the Life Lexicon
- Torus at Wikipedia
- Bounded grids at Golly's online help
- Small Tori in B3/S23 (discussion thread) at the ConwayLife.com forums