Halfmax

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Halfmax
x = 65, y = 80, rule = B3/S23 5bobo49bobo$4bo2bo49bo2bo$3b2o55b2o$2bo59bo$b4o55b4o$o4bo53bo4bo$o2bo 24b3o3b3o24bo2bo$o2bo24bo2bobo2bo24bo2bo$bo26bo7bo26bo$2b4obo20bo7bo 20bob4o$3bo3bo21bobobobo21bo3bo$4bo24bobobobo24bo$4bobo23bo3bo23bobo$ 29b3ob3o$3b3o26bo26b3o$3b2o23b9o23b2o$3b3o21bo9bo21b3o$26b13o$4bobo18b o13bo18bobo$4bo19b17o19bo$3bo3bo15bo17bo15bo3bo$2b4obo14b21o14bob4o$bo 19bo21bo19bo$o2bo16b25o16bo2bo$o2bo15bo25bo15bo2bo$o4bo12b29o12bo4bo$b 4o12bo29bo12b4o$2bo13b33o13bo$3b2o10bo33bo10b2o$4bo2bobo4b37o4bobo2bo$ 5bobo2bo2bo37bo2bo2bobo$8bo3b20ob20o3bo$9bo21bobo21bo$10b21o3b21o2$8b 21o3bo3b21o$7bo21bobobobo21bo$6bo3b2o2bob2ob2ob2ob5obobob5ob2ob2ob2obo 2b2o3bo$6bo4bobo2b2o4b2o7bobo7b2o4b2o2bobo4bo$6bo8bo5bo5b3obobob3o5bo 5bo8bo$7b3o20b2ob2o20b3o$9bo17b2o3bo3b2o17bo$6b2o2bo3b2o11b4obob4o11b 2o3bo2b2o$4bo5b2obo17bobo17bob2o5bo$3bo6bo18bobobobo18bo6bo$3bo4b2obo 2bo10b2o2b3ob3o2b2o10bo2bob2o4bo$3b5o3b2o5bo6b2o2b2o3b2o2b2o6bo5b2o3b 5o$13b2o4bo25bo4b2o$10b2o3b2ob2obo7b3ob3o7bob2ob2o3b2o$13bo4bobo23bobo 4bo$9bo4b5obo4bo3b3ob3o3bo4bob5o4bo$8b2o2b2o4bo3b3o3bo7bo3b3o3bo4b2o2b 2o$9b2o3bo4b2o7b4ob4o7b2o4bo3b2o$10b2o8bo10bobo10bo8b2o$30b2ob2o$22bo 3bob2obobob2obo3bo$21bobobobob2o3b2obobobobo$21bobobobo9bobobobo$22bob ob3o7b3obobo$24bobo3b5o3bobo$24b2o6bo6b2o2$27bo2bobobo2bo$27b11o2$29bo 5bo$28bobo3bobo$28bob2ob2obo$26bobob2ob2obob2o$25bobo9bobo$25bo2b3o3b 3o$26b2o$29bo2bo2b2o$26b3obobobo2bo$26bo3bobobob2o$27bobo4bo$28b2obo2b ob2o$30bobobobo$30bobobobo$31b2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 6 ]]
View static image
Pattern type Spacefiller
Number of cells 904
Bounding box 65 × 80
Discovered by Jason Summers
Year of discovery 2005

Halfmax (or half-spacefiller[1]) is a pattern that acts as a spacefiller in half of the Life plane. It was found by Jason Summers in May 2005. It expands in three directions at c/2, producing a triangular region that grows to fill half the plane. All previously-known spacefillers had been diamond-shaped, expanding at c/2 in all four cardinal directions to fill the entire plane.[2]

The version shown in the infobox was found by Summers on May 21, 2005. Two less compact versions, shown below, were also found earlier that same month.

x = 117, y = 112, rule = b3/s23 55bo5bo55b$54b3o3b3o54b$53b2obo3bob2o53b$53b3o5b3o53b$54b2o5b2o54b$54b 2o5b2o54b$55bobobobo55b2$55b7o55b$54bo7bo54b$54b9o54b$52bo11bo52b$52b 13o52b$50bo15bo50b$50b17o50b$48bo19bo48b$48b21o48b$46bo23bo46b$46b25o 46b$44bo27bo44b$44b29o44b$21bobo18bo31bo18bobo21b$20bo2bo18b33o18bo2bo 20b$19b2o19bo35bo19b2o19b$18bo3bo17b37o17bo3bo18b$17b3obo16bo39bo16bob 3o17b$14b2o22b41o22b2o14b$13bo3b5o14bo43bo14b5o3bo13b$12bo3bo19b45o19b o3bo12b$12bo5b2o14bo47bo14b2o5bo12b$12b3o3b4o12b49o12b4o3b3o12b$13bo7b o10bo51bo10bo7bo13b$13b4o15b53o15b4o13b$12bo4bo12bo55bo12bo4bo12b$13bo bo14b57o14bobo13b$13bo3bo10bo59bo10bo3bo13b$14b3o11b61o11b3o14b$15bo 10bo63bo10bo15b$16b3obobo3b65o3bobob3o16b$17bob2obobo67bobob2obo17b$ 18bobobo2b67o2bobobo18b$18b3o3bo67bo3b3o18b$11bo7bo2bo2b67o2bo2bo7bo 11b$8b2obobo6b2o73b2o6bobob2o8b$8bo6b2o3bo6b63o6bo3b2o6bo8b$7bo2b4o5b 3o4bo63bo4b3o5b4o2bo7b$7b2o6bobo2b2o3bo3b59o3bo3b2o2bobo6b2o7b$5bobo3b obo3bo7bo3bo57bo3bo7bo3bobo3bobo5b$4b6obo5bo7bo3b59o3bo7bo5bob6o4b$3b 2o13bobo5bo63bo5bobo13b2o3b$2b2o4b3o7bo8b63o8bo7b3o4b2o2b$3bo4bo11bo 75bo11bo4bo3b$6bobo9b3o8b59o8b3o9bobo6b$3b2obobo8b3o8bo59bo8b3o8bobob 2o3b$2bo6bobo6b3o6bo3b55o3bo6b3o6bobo6bo2b$2b4o3bo10bo6bo3bo53bo3bo6bo 10bo3b4o2b$bo9bo6bo8bo3b27ob27o3bo8bo6bo9bob$3o2bo3b5o4bobo7bo28bobo 28bo7bobo4b5o3bo2b3o$b3o5b2o6bo11b28o3b28o11bo6b2o5b3ob$2bo6bo8bobo75b obo8bo6bo2b$3b3obobo8bo12b24o3bo3b24o12bo8bobob3o3b$3bo2b2o12bo9bo24bo bobobo24bo9bo12b2o2bo3b$4b2o3bo8b3o8bo3b2ob2ob2ob2ob2ob2ob5obobob5ob2o b2ob2ob2ob2ob2o3bo8b3o8bo3b2o4b$5b4o8bo2b2o7bo2b3ob2o4b2o4b2o7bobo7b2o 4b2o4b2ob3o2bo7b2o2bo8b4o5b$17b3obo7bo4b2o5bo5bo5b3obobob3o5bo5bo5b2o 4bo7bob3o17b$5b4o7bo13bo3bo21b2ob2o21bo3bo13bo7b4o5b$4b2o3bo5b3o13bo3b o17b2o3bo3b2o17bo3bo13b3o5bo3b2o4b$3bo2b2o6b3o2bo12bo20b4obob4o20bo12b o2b3o6b2o2bo3b$3b3obobo5bo17bo2b2o19bobo19b2o2bo17bo5bobob3o3b$2bo6bo 6b4o6b6o4b2o17bobobobo17b2o4b6o6b4o6bo6bo2b$b3o5b2o5bo9bo6bo17b2o2b3ob 3o2b2o17bo6bo9bo5b2o5b3ob$3o2bo4b3o5b2o6bo11b2o11b2o2b2o3b2o2b2o11b2o 11bo6b2o5b3o4bo2b3o$bo10bo5b4o5bo5b2o4bobobo29bobobo4b2o5bo5b4o5bo10bo b$2b4o15bo7bo5b3obob2o2bo9b3ob3o9bo2b2obob3o5bo7bo15b4o2b$2bo30bob2o5b 5o23b5o5b2obo30bo2b$4b2o26b2o3b4o6b2o6b3ob3o6b2o6b4o3b2o26b2o4b$4b4o 23b2o7bobo11bo7bo11bobo7b2o23b4o4b$7bo24bob4o4bo4b2o5b4ob4o5b2o4bo4b4o bo24bo7b$33b4o6bobo11bobo11bobo6b4o33b$34bo21b2ob2o21bo34b$48bo3bob2ob obob2obo3bo48b$47bobobobob2o3b2obobobobo47b$47bobobobo9bobobobo47b$48b obob3o7b3obobo48b$50bobo3b5o3bobo50b$50b2o6bo6b2o50b2$56bobobo56b$54b 9o54b$53bo9bo53b$53bobo5bobo53b$51b2obobo3bobob2o51b$52bobob2ob2obobo 52b$51bo2bob2ob2obo2bo51b$51b3o9b3o51b$54b3o3b3o54b$53bo9bo53b$53b3o2b o2b3o53b$56bobobo56b$53b2obobobob2o53b$52bo2bob3obo2bo52b$52b2obo5bob 2o52b$55bobobobo55b$55bo5bo55b$53b2obobobob2o53b$54bobobobobo54b$54bob 5obo54b$55bo5bo55b$56b2ob2o56b$57bobo57b$57bobo57b$58bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 4 ]]
The earliest version of halfmax, found by Jason Summers
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 111, y = 84, rule = b3/s23 51b3o3b3o51b$50bo2bo3bo2bo50b$53bo3bo53b$53bo3bo53b$53bo3bo53b2$51b3o 3b3o51b$52bo5bo52b$52b7o52b$51bo7bo51b$9bobo38b11o38bobo9b$8bo2bo37bo 11bo37bo2bo8b$7b2o39b15o39b2o7b$6bo4bo35bo15bo35bo4bo6b$5b5obo34b19o 34bob5o5b$2b2o41bo19bo41b2o2b$bo3b3o36b23o36b3o3bob$o3bo38bo23bo38bo3b o$o5bo35b27o35bo5bo$3o3bo34bo27bo34bo3b3o$bo4b2obo30b31o30bob2o4bob$b 2o6bo29bo31bo29bo6b2ob$bobo34b35o34bobob$b2o2b2obo8bobo17bo35bo17bobo 8bob2o2b2ob$2bob3obo3bob4obobo14b39o14bobob4obo3bob3obo2b$9b2obob2o2bo 2bo13bo39bo13bo2bo2b2obob2o9b$4b6ob2o3b4obobo3bobo4b43o4bobo3bobob4o3b 2ob6o4b$5bo4b3o6bo3b3obo2bo2bo43bo2bo2bob3o3bo6b3o4bo5b$6b2o5b2o2b2o2b obo4bo3b23ob23o3bo4bobo2b2o2b2o5b2o6b$7bo2bo5b4obobo5bo24bobo24bo5bobo b4o5bo2bo7b$8bobob2o5bobo8b24o3b24o8bobo5b2obobo8b2$28b24o3bo3b24o28b$ 27bo24bobobobo24bo27b$26bo3b2ob2ob2ob2ob2ob2ob5obobob5ob2ob2ob2ob2ob2o b2o3bo26b$26bo2b3ob2o4b2o4b2o7bobo7b2o4b2o4b2ob3o2bo26b$26bo4b2o5bo5bo 5b3obobob3o5bo5bo5b2o4bo26b$27bo3bo21b2ob2o21bo3bo27b$28bo3bo17b2o3bo 3b2o17bo3bo28b$29bo20b4obob4o20bo29b$30bo2b2o19bobo19b2o2bo30b$23b6o4b 2o17bobobobo17b2o4b6o23b$23bo6bo17b2o2b3ob3o2b2o17bo6bo23b$23bo11b2o 11b2o2b2o3b2o2b2o11b2o11bo23b$24bo5b2o4bobobo29bobobo4b2o5bo24b$26bo5b 3obob2o2bo9b3ob3o9bo2b2obob3o5bo26b$30bob2o5b5o23b5o5b2obo30b$29b2o3b 4o6b2o6b3ob3o6b2o6b4o3b2o29b$28b2o7bobo11bo7bo11bobo7b2o28b$29bob4o4bo 4b2o5b4ob4o5b2o4bo4b4obo29b$30b4o6bobo11bobo11bobo6b4o30b$31bo21b2ob2o 21bo31b$45bo3bob2obobob2obo3bo45b$44bobobobob2o3b2obobobobo44b$44bobob obo9bobobobo44b$45bobob3o7b3obobo45b$47bobo3b5o3bobo47b$47b2o6bo6b2o 47b2$53bobobo53b$51b9o51b$50bo9bo50b$50bobo5bobo50b$48b2obobo3bobob2o 48b$49bobob2ob2obobo49b$48bo2bob2ob2obo2bo48b$48b3o9b3o48b$51b3o3b3o 51b$50bo9bo50b$50b3o2bo2b3o50b$53bobobo53b$50b2obobobob2o50b$49bo2bob 3obo2bo49b$49b2obo5bob2o49b$52bobobobo52b$52bo5bo52b$50b2obobobob2o50b $51bobobobobo51b$51bob5obo51b$52bo5bo52b$53b2ob2o53b$54bobo54b$54bobo 54b$55bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 4 ]]
The next version of halfmax, found by Hartmut Holzwart
(click above to open LifeViewer)
RLE: here Plaintext: here


Gallery

Halfmax at generation 70
Click to load content
Halfmax expanding over about 200 generations

See also

References

  1. ↑ Jason Summers' jslife pattern collection.
  2. ↑ Extensible Wickstretchers and HALFMAX at Game of Life News. Posted by Dave Greene on May 9, 2005.

External links


Retrieved from "https://conwaylife.com/w/index.php?title=Halfmax&oldid=137291"