Difference between revisions of "Sphere"
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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 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 [[LifeViewer]] demonstrates how diagonal and orthogonal spaceships travel in a | The following [[LifeViewer]] demonstrates how diagonal and orthogonal spaceships travel in a spherical universe. | ||
{{EmbedViewer | {{EmbedViewer | ||
Revision as of 03:19, 11 October 2020
A sphere is a possible finite 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.
The following LifeViewer demonstrates how diagonal and orthogonal spaceships travel in a spherical universe.
| (click above to open LifeViewer) RLE: here Plaintext: here |
See also
External links
- Sphere at Wikipedia
Bounded grids at Golly's online help