Below are 3 ways all opposite edges can connect. In brackets, the x represents that this direction's connection is flipped.
Below are 3 ways all opposite edges can connect. In brackets, the x represents that this direction's connection is flipped.
Torus: (XY)
[[Torus]]: (XY)
{{EmbedViewer
{{EmbedViewer
|position = center
|position = center
Line 27:
Line 27:
}}
}}
Klein bottle: (XxY)
[[Klein bottle]]: (XxY)
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{{EmbedViewer
|position = center
|position = center
Line 34:
Line 34:
}}
}}
Cross surface: (XxYx)
[[Cross surface]]: (XxYx)
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{{EmbedViewer
|position = center
|position = center
Line 41:
Line 41:
}}
}}
The sphere connects the north with west edge, and south with east. The corners have themselves as neighbors.
The [[sphere]] connects the north with west edge, and south with east. The corners have themselves as neighbors.
{{EmbedViewer
{{EmbedViewer
|position = center
|position = center
Revision as of 00:41, 4 October 2019
A bounded grid is a finite grid. In this page, it shows where diagonal-moving objects (represented as gliders) and orthogonal-moving objects (represented as lightweight spaceships) will go after reaching the edge. On a sphere, an object too close to the corners will have affected evolution.
This page uses the following gates:
For orthogonal:
The gates with 2 singular blocks correspond to each other.
The gates with 2 bi-blocks correspond to each other.
For diagonal:
The methyl gates (ships) correspond to each other.
The ethyl gates (long ships) correspond to each other.
The propyl gates (very long ships) correspond to each other.