Sphere: Difference between revisions
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{{Glossary}} | {{Glossary}} | ||
A '''sphere''' is a possible finite [[Conway's Game of Life|Life]] universe in the form of a sphere. The simplest way to do this is to use an m × n rectangle with the top edge joined to the left edge and the bottom edge joined to the right edge. It is similar to a [[torus]] except that it has adjacent pairs of sides joined instead of opposite pairs. With this configuration, the top-left and bottom-right corner cells become the "poles" of the sphere which have themselves as three of their neighbors. The other two corner cells have only one of themselves as a neighbor. | A '''sphere''' is a possible finite [[Conway's Game of Life|Life]] [[universe]] (i.e. one of the [[bounded grids]]) in the form of a sphere. The simplest way to do this is to use an m × n rectangle with the top edge joined to the left edge and the bottom edge joined to the right edge. It is similar to a [[torus]] except that it has adjacent pairs of sides joined instead of opposite pairs. With this configuration, the top-left and bottom-right corner cells become the "poles" of the sphere which have themselves as three of their neighbors. The other two corner cells have only one of themselves as a neighbor. | ||
The following | The following pattern demonstrates how diagonal and orthogonal spaceships travel in a spherical 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 ]] | ||
}} | }} | ||
==External links== | ==External links== | ||
Revision as of 06:29, 6 November 2021
A sphere is a possible finite Life universe (i.e. one of the bounded grids) in the form of a sphere. The simplest way to do this is to use an m × n rectangle with the top edge joined to the left edge and the bottom edge joined to the right edge. It is similar to a torus except that it has adjacent pairs of sides joined instead of opposite pairs. With this configuration, the top-left and bottom-right corner cells become the "poles" of the sphere which have themselves as three of their neighbors. The other two corner cells have only one of themselves as a neighbor.
The following pattern demonstrates how diagonal and orthogonal spaceships travel in a spherical universe.
| (click above to open LifeViewer) RLE: here Plaintext: here |
External links
- Sphere at Wikipedia
Bounded grids at Golly's online help