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
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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: These are hard...
gollark: - which is why I think all government workers should be randomly selected, similarly to jury duty
gollark: - which is why I think anyone in government who makes a mistake of any kind should be immediately fired
gollark: - I support an efficient and adaptable government- which is why I think we should replace all civil servants with small swarms of bees in balloons
gollark: - I support the right to free speech!- In order to preserve freedom of speech and ensure disagreeing views can be heard, I will ban anyone who agrees with me from this website and promote anyone who disagrees.

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.
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