Finite plane

A finite plane is a type of bounded Life universe that takes the form of an m × n rectangle. Unlike other topologies such as a torus, the edges are not joined together, and the outside cells are always treated as dead.

x = 100, y = 100, rule = B3/S23:P100,100 16bo47bo5bo11bo$b3o3bo16bo24b2o18b3o4b3o18b2o$bobo12bo6bobo6b2o16b2o 12bo6b2o3bobo3bo3bo4bo5b2o$b3o3bo14bo3bo5b2o15b2o25bobo7b2o3b2o$16bo6b 3o23bo8b2o4bo17bo2bobo2bobo$7bo13b2o3b2o30bobo$16bo43bo3bo17bo$bobobob o52b2o$16bo47bobobobobobobobobobobobobobobobobobo2$16bo47bo$91bo$16bo 47bo$91bo$16bo47bo$91bo5bo$16bo7b2o38bo31bobo$24b2o65bo4bo2bo$16bo47bo 33bo$91bo6b2o$obobobobobobobobobobobobobobobobobobobobobobobobobobobob obobobobo$91bo$20bo$91bo$20bo$14b2o75bo4b2o$13b3o4bo75b2o$13b3o75bo$ 13b3o4bo$b3o9b2obo74bo4bo$4bo9b3o3bo74b3o$o4bo9bo75bo3bo$2o3bo14bo75b 3o$2o2bo86bo$2o18bo78bo$3o3bo84bo$2o3bobo12bo$3o2bobo83bo$3ob3o2bobo8b o75b2o$3o9bo78bo4b2o$8bo3bo7bo$8bo3bo78bo$12bo7bo$9bo2bo78bo$10b3o7bo$ 91bo$2bo17bo77bo$b2o88bo4b2obo$obo17bo74bo3bo$2o89bo2bo3b2o$20bo73bobo $91bo3bo$9b2o9bo$8b3o80bo6b2o$bob2o3b3o9bo76bobo$b3o4b2obo79bo6bo$2bo 6b3o8bo$10bo80bo$20bo57bo$78b3o10bo$20bo60bo14b2o$80b2o9bo3bo2bo$20bo$ 91bo6bo$20bo75bo$91bo4b2o$20bo78bo$91bo3bo2b2o$20bo73bobo2bo$91bo2bo2b obo$20bo77bo$91bo$20bo$77bobobobobobobobobobobobo$20bo$77bo$20bo$77bo 9bo2bo$20bo70bo$77bo9bo3bo$20bo67b4o$77bo$20bo$77bo$20bo67bo$obobobobo bobobobobo58bo8bo3bo$91bo$16bo60bo8bo4bo$87b5o$8bo2bo4bo60bo$7bo$7bo3b o4bo7bobobobobobobobobobobobobo28bo$7b4o76b2o$16bo7bo23bo28bo7bo4bo$ 91bo$16bo7bo4bo14bo3bo28bo7bo5bo$5b7o16bobo3b3o6bobo40b6o$5bo6bo3bo7bo 4bo4bobo7bo3bo28bo$5bo28b3o$6bo5bo3bo7bo23bo28bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART THUMBSIZE 2 ZOOM 4 WIDTH 600 HEIGHT 600 GPS 60 PAUSE 2 T 400 PAUSE 2 LOOP 401 ]]

(click above to open LifeViewer) RLE: here Plaintext: here

• Top, Very Left: the traffic light predecessor evolves into a pulsar quadrant.
• Top, Middle Left: The queen bee shuttle's beehive is surpressed by the edge. The edge also allows one Bee of the twin bees shuttle to survive alone.
• Top, Middle Right: The century and pi-heptomino stablise into the stable bookend and house due to the absence of cells on the edge.
• Top, Very Right: When a glider hits the edge, it turns into a block. Near the edge, a block can cleanly eat a glider.
• Left: A B-heptomino becomes a spaceship on the edge with the support of other spaceships on the non-edge side.
• Bottom Left: The overweight spaceship can be supported by the edge.
• Bottom: Half of a eureka can be stabilised by the edge.
• Bottom Right: a LWSS turns into a glider, a MWSS turns into a semi-pulsar, and HWSS dies when hitting the edge.
• Right: Halves of many gutter-containing oscillators (and spaceships) (like the tumbler, 34p14 shuttle, Rich's p16 and 38P7.2) can be stabilised by the edge.

See also

• Topology
• Torus
• Cylinder
• Klein bottle
• Cross-surface
• Sphere

External links

• Finite geometry at Wikipedia

Bounded grids at Golly's online help