Halfmax

Halfmax
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Pattern type	Spacefiller
Number of cells	904
Bounding box	65 × 80
Static symmetry	Unspecified
Discovered by	Jason Summers
Year of discovery	2005
Pattern files Plaintext halfmax.cells RLE halfmax.rle

Halfmax is a half spacefiller that 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 previoiusly-known spacefillers had been diamond-shaped, expanding at c/2 in all four cardinal directions to fill the entire plane.

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.

Image gallery

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

See also

• Max