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 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 [[LifeViewer]] demonstrates how diagonal and orthogonal spaceships travel in a toroidal universe.
The following pattern demonstrates how diagonal and orthogonal spaceships travel in a toroidal universe.


{{EmbedViewer
{{EmbedViewer
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|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 ]]
}}
}}
==See also==
*[[Topology]]
*[[Finite plane]]
*[[Cylinder]]
*[[Klein bottle]]
*[[Cross-surface]]
*[[Sphere]]
*[[Bounded grids]]


==External links==
==External links==

Revision as of 06:27, 6 November 2021

A glider travelling on an 8×8 torus

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.

x = 98, y = 98, rule = B3/S23:T100,100 10b2o6bo4b2o8b2o9b2o$10bobo4b2o4bobo7b2o9b2o$11b2o4bobo4b2o50$38b3o$ 38bo2bo$38bo$38bo$39bobo15$94b2o$94bobo$95bobo$96b2o3$2o$obo$bobo$2b2o 4$94b2o$94bobo$95bobo$96b2o3$2o$obo$bobo$2b2o2$5b2o11b2o$5bobo10bobo 12b2o9b2o$6b2o11b2o12b2o9b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART THUMBSIZE 2 ZOOM 4 WIDTH 600 HEIGHT 600 GPS 60 LOOP 801 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here

Bounded grids at Golly's online help