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 = 98, y = 98, rule = B3/S23:T100,100 10b2o6bo4b2o8b2o9b2o$10bobo4b2o4bobo7b2o9b2o$11b2o4bobo4b2o50$38b3o$ 38bo2bo$38bo$38bo$39bobo15$94b2o$94bobo$95bobo$96b2o3$2o$obo$bobo$2b2o 4$94b2o$94bobo$95bobo$96b2o3$2o$obo$bobo$2b2o2$5b2o11b2o$5bobo10bobo 12b2o9b2o$6b2o11b2o12b2o9b2o! #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 = 98, y = 98, rule = B3/S23:K100,100* 73b2o9b2o$73b2o9b2o5$38b2o11b2ob2o11b2o$37bobo10bobobobo10bobo$36bobo 10bobo3bobo10bobo$35bobo10bobo5bobo10bobo$34bobo10bobo7b2o11b2o$34b2o 11b2o5$2ob2o85b2ob2ob2o$2ob2o85b2ob2ob2o10$2ob2o85b2ob2ob2o$2ob2o85b2o b2ob2o3$13b2o77b2o$12bobo77bobo$11bobo79bobo$11b2o81b2o10$13b2o77b2o$ 12bobo77bobo$11bobo79bobo$11b2o81b2o3$11b2o81b2o$11bobo65bo13bobo$12b 2o64b3o12b2o$77b2obo$77b3o$78b2o8$11b2o81b2o$11bobo79bobo$12b2o79b2o4$ 2ob2ob2o85b2ob2o$2ob2ob2o85b2ob2o4$31b2o$29b2ob2o$29b4o$30b2o3$2ob2ob 2o85b2ob2o$2ob2ob2o85b2ob2o2$37b3o$37bo$38bo$58b2o11b2o$35b2o11b2o7bob o10bobo$35bobo10bobo5bobo10bobo$36bobo10bobo3bobo10bobo$37bobo10bobobo bo10bobo$38b2o11b2ob2o11b2o5$73b2o9b2o$73b2o9b2o! #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 = 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 ]]
(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 = 98, y = 98, rule = B3/S23:S100 11b2o9b2o$11b2o9b2o5$29b2o11b2ob2o11b2o$28bobo10bobobobo10bobo$27bobo 10bobo3b2o11b2o$26bobo10bobo$26b2o11b2o$2o91b2ob2o$2o91b2ob2o10$2o91b 2ob2o$2o91b2ob2o5$7b2o$6bobo$6b2o4$86b2o$86bobo$87bobo$88bobo$89bobo$ 90b2o2$7b2o$6bobo$6b2o2$6b2o$6bobo$7bobo76b2o$8bobo75bobo$9b2o76bobo$ 88bobo$89bobo$90b2o2$90b2o$89bobo$88bobo$17bo70b2o$6b2o8b3o$6bobo7bob 2o$7bobo7b3o$8bobo6b2o$9b2o5$90b2o$89bobo$88bobo$88b2o9$34b2o$34bobo$ 34bo5$58b2o11b2o$57bobo10bobo$36b2o11b2o5bobo10bobo$36bobo10bobo3bobo 10bobo$37bobo10bobobobo10bobo$38b2o11b2ob2o11b2o2$11b2o9b2o$11b2o9b2o 2$11b2o9b2o$11b2o9b2o! #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