Halfmax

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]

Halfmax
<html><div class="rle"><div class="codebox"><div style="display:none;"><code></html>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 ]] <nowiki></nowiki> <html></code></div></div><canvas width="200" height="300" style="margin-left:1px;"><noscript></html> <html></noscript></canvas></div></html>
View static image
Pattern type Spacefiller
Number of cells 904
Bounding box 65×80
Discovered by Jason Summers
Year of discovery 2005

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

Halfmax at generation 70
The earliest version of halfmax, found by Jason Summers
RLE: here
The next version of halfmax, found by Hartmut Holzwart
RLE: here

Videos
<iframe src='//www.youtube.com/embed/X-Q-TjgQhJg?' width='300' height='169' frameborder='0' allowfullscreen='true'></iframe>
Halfmax expanding over about 200 generations
gollark: Hmm. Oops.
gollark: ++magic py (await bot.get_channel(412764872816852994).fetch_message(785111865402720256)).content
gollark: ++magic py bot.get_channel(412764872816852994).fetch_message(785111865402720256).content
gollark: ++magic py bot.get_guild(346530916832903169).fetch_message(785111865402720256).content
gollark: LyricLy, you are NOT AT ALL based, your pH is 2.

See also

References
  1. Jason Summers' jslife pattern collection.
  2. Dave Greene (May 9, 2005). "Extensible Wickstretchers and HALFMAX". Game of Life News. Retrieved on May 26, 2009.
This article is issued from Conwaylife. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.