Cross-surface: Difference between revisions
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{{Glossary}} | {{Glossary}} | ||
A '''cross-surface''' (or '''real projective plane''') is a possible finite [[Conway's Game of Life|Life]] universe in the form of a real projective plane. The simplest way to do this is to use an m × n rectangle with the top edge twisted and joined to the bottom edge and the left edge twisted and joined to the right edge. It is similar to the [[Klein bottle]] except it has both pairs of sides twisted instead of just one. | A '''cross-surface''' (or '''real projective plane''') is a possible finite [[Conway's Game of Life|Life]] [[universe]] (i.e. one of the [[bounded grids]]) in the form of a real projective plane. The simplest way to do this is to use an m × n rectangle with the top edge twisted and joined to the bottom edge and the left edge twisted and joined to the right edge. It is similar to the [[Klein bottle]] except it has both pairs of sides twisted instead of just one. | ||
The following | The following pattern demonstrates how diagonal and orthogonal spaceships travel in a cross-surface universe. | ||
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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 ]] | ||
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==External links== | ==External links== | ||
Revision as of 06:29, 6 November 2021
A cross-surface (or real projective plane) is a possible finite Life universe (i.e. one of the bounded grids) in the form of a real projective plane. The simplest way to do this is to use an m × n rectangle with the top edge twisted and joined to the bottom edge and the left edge twisted and joined to the right edge. It is similar to the Klein bottle except it has both pairs of sides twisted instead of just one.
The following pattern demonstrates how diagonal and orthogonal spaceships travel in a cross-surface universe.
| (click above to open LifeViewer) RLE: here Plaintext: here |
External links
- Real projective plane at Wikipedia
Bounded grids at Golly's online help