Sphere: Difference between revisions
Jump to navigation
Jump to search
link cleanup |
links; consistent formatting for bulleted lists |
||
| Line 2: | Line 2: | ||
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. | 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 pattern demonstrates how diagonal and orthogonal | The following pattern demonstrates how diagonal and orthogonal [[spaceship]]s travel in a spherical universe. | ||
{{EmbedViewer | {{EmbedViewer | ||
| Line 11: | Line 11: | ||
==External links== | ==External links== | ||
{{LinkWikipedia|Sphere}} | * {{LinkWikipedia|Sphere}} | ||
{{LinkGollyHelp|bounded.html|title=Bounded grids}} | * {{LinkGollyHelp|bounded.html|title=Bounded grids}} | ||
[[Category:Topologies]] | [[Category:Topologies]] | ||
Revision as of 09:22, 3 June 2022
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