Bounded grids

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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:

For finite plane and cylinder, please see the links mentioned.

Below are 3 ways all opposite edges can connect. In brackets, the x represents that this direction's connection is flipped.

Torus: (XY)

x = 100, y = 100, rule = B3/S23:T100,100 $11b2o6bo4b2o8b2o9b2o$11bobo4b2o4bobo7b2o9b2o$12b2o4bobo4b2o50$39b3o$ 39bo2bo$39bo$39bo$40bobo15$95b2o$95bobo$96bobo$97b2o3$b2o$bobo$2bobo$ 3b2o4$95b2o$95bobo$96bobo$97b2o3$b2o$bobo$2bobo$3b2o2$6b2o11b2o$6bobo 10bobo12b2o9b2o$7b2o11b2o12b2o9b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART THUMBSIZE 2 ZOOM 4 WIDTH 600 HEIGHT 600 GPS 60 LOOP 801 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here

Klein bottle: (XxY)

x = 100, y = 100, rule = B3/S23:K100,100* $74b2o9b2o$74b2o9b2o5$39b2o11b2ob2o11b2o$38bobo10bobobobo10bobo$37bobo 10bobo3bobo10bobo$36bobo10bobo5bobo10bobo$35bobo10bobo7b2o11b2o$35b2o 11b2o5$b2ob2o85b2ob2ob2o$b2ob2o85b2ob2ob2o10$b2ob2o85b2ob2ob2o$b2ob2o 85b2ob2ob2o3$14b2o77b2o$13bobo77bobo$12bobo79bobo$12b2o81b2o10$14b2o 77b2o$13bobo77bobo$12bobo79bobo$12b2o81b2o3$12b2o81b2o$12bobo79bobo$ 13b2o79b2o11$12b2o65b3o13b2o$12bobo63bo2bo12bobo$13b2o66bo12b2o$81bo$ 78bobo2$b2ob2ob2o85b2ob2o$b2ob2ob2o85b2ob2o4$19b4o$18bo3bo$22bo$18bo2b o3$b2ob2ob2o85b2ob2o$b2ob2ob2o85b2ob2o5$59b2o11b2o$36b2o11b2o7bobo10bo bo$36bobo6bo3bobo5bobo10bobo$37bobo4b2o4bobo3bobo10bobo$38bobo3bobo4bo bobobo10bobo$39b2o11b2ob2o11b2o5$74b2o9b2o$74b2o9b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART THUMBSIZE 2 ZOOM 4 WIDTH 600 HEIGHT 600 GPS 60 LOOP 801 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here

Cross surface: (XxYx)

x = 100, y = 100, rule = B3/S23:C100,100 $13b2o9b2o48b2o9b2o$13b2o9b2o48b2o9b2o2$74b2o9b2o$74b2o9b2o2$30b2o11b 2ob2o11b2o$29bobo10bobobobo10bobo$28bobo10bobo3b2o11b2o$28b2o11b2o16$ 11b2o$10bobo$9bobo$8bobo$7bobo$7b2o4$87b2o$87bobo$88bobo$89bobo$11b2o 77bobo$10bobo78b2o$9bobo$8bobo$7bobo$7b2o2$7b2o$7bobo$8bobo76b2o$9bobo 75bobo$10b2o76bobo$89bobo$90bobo$91b2o2$91b2o$90bobo$89bobo$88bobo$7b 2o79b2o$7bobo$8bobo$9bobo$10b2o5$91b2o$90bobo$89bobo$88bobo$88b2o4$18b 3o$18bo2bo$18bo$18bo$19bobo9$37b2o6bo4b2o$37bobo4b2o4bobo3b2o11b2o$38b obo3bobo4bobobobo10bobo$39b2o11b2ob2o11b2o2$13b2o9b2o$13b2o9b2o$74b2o 9b2o$13b2o9b2o48b2o9b2o$13b2o9b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART THUMBSIZE 2 ZOOM 4 WIDTH 600 HEIGHT 600 GPS 60 LOOP 801 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here

The sphere connects the north with west edge, and south with east. The corners have themselves as neighbors.

x = 100, y = 100, rule = B3/S23:S100 $12b2o9b2o$12b2o9b2o5$30b2o11b2ob2o11b2o$29bobo10bobobobo10bobo$28bobo 10bobo3b2o11b2o$27bobo10bobo$27b2o11b2o$b2o91b2ob2o$b2o91b2ob2o10$b2o 91b2ob2o$b2o91b2ob2o5$8b2o$7bobo$7b2o4$87b2o$87bobo$88bobo$89bobo$90bo bo$91b2o2$8b2o$7bobo$7b2o2$7b2o$7bobo$8bobo76b2o$9bobo75bobo$10b2o76bo bo$89bobo$90bobo$91b2o2$91b2o$90bobo$89bobo$89b2o$7b2o$7bobo$8bobo$9bo bo$10b2o5$91b2o$90bobo$89bobo$89b2o6$17b3o$16bo2bo$19bo$19bo$16bobo6$ 59b2o11b2o$58bobo10bobo$37b2o6bo4b2o5bobo10bobo$37bobo4b2o4bobo3bobo 10bobo$38bobo3bobo4bobobobo10bobo$39b2o11b2ob2o11b2o2$12b2o9b2o$12b2o 9b2o2$12b2o9b2o$12b2o9b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART THUMBSIZE 2 ZOOM 4 WIDTH 600 HEIGHT 600 GPS 60 LOOP 801 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here