Cross-surface
A cross-surface (or real projective plane) is a possible finite 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.
The following LifeViewer demonstrates how diagonal and orthogonal spaceships travel in a cross-surface universe.
| <html><div class="rle"><div class="codebox"><div style="display:none;"><code></html>x = 86, y = 98, rule = B3/S23:C100,100
6b2o9b2o48b2o9b2o$6b2o9b2o48b2o9b2o2$67b2o9b2o$67b2o9b2o2$23b2o11b2ob
2o11b2o$22bobo10bobobobo10bobo$21bobo10bobo3b2o11b2o$21b2o11b2o16$4b2o
$3bobo$2bobo$bobo$obo$2o4$80b2o$80bobo$81bobo$82bobo$4b2o77bobo$3bobo
78b2o$2bobo$bobo$obo$2o2$2o$obo$bobo76b2o$2bobo75bobo$3b2o76bobo$82bob
o$83bobo$84b2o2$84b2o$83bobo$82bobo$81bobo$2o79b2o$obo$bobo$2bobo$3b2o
5$84b2o$83bobo$82bobo$81bobo$81b2o4$11b3o$11bo2bo$11bo$11bo$12bobo9$
30b2o6bo4b2o$30bobo4b2o4bobo3b2o11b2o$31bobo3bobo4bobobobo10bobo$32b2o
11b2ob2o11b2o2$6b2o9b2o$6b2o9b2o$67b2o9b2o$6b2o9b2o48b2o9b2o$6b2o9b2o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ AUTOSTART THUMBSIZE 2 ZOOM 4 WIDTH 600 HEIGHT 600 GPS 60 LOOP 801 ]]<html></code></div></div><canvas width="200" height="300" style="margin-left:1px;"><noscript></html> Please enable Javascript to view this LifeViewer. <html></noscript></canvas></div></html> |
| (click above to open LifeViewer) RLE: here Plaintext: here |
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