This blog is still alive, just in semi-hibernation.
When I want to write something longer than a tweet about something other than math or sci-fi, here is where I'll write it.

Sunday, July 3, 2011

Penrose patterns #2a and 2b, 3/7/11:
The Aster Fields


Title: Aster Field #1
Date: 3 July 2011
Type: Pattern
Number of tiles: 290
Color breakdown: 100 blue, 90 yellow, 90 blue
Shape breakdown: all kites
Kosher Penrose tiling rules: no



Title: Aster Field #2
Date: 3 July 2011
Type: Pattern
Number of tiles: 375
Color breakdown: 135 blue, 120 yellow, 120 blue
Shape breakdown: all kites
Kosher Penrose tiling rules: no
Supplier: SeriousPuzzles.com

I'm going to be doing more work with the aster pattern, the rounded shape made from 15 kites with the star shaped gap in the middle. If five darts were added, it would be a star with a star shaped gap in the middle, but by rounding the shape, the outside corners fit exactly into the dents and allow for infinite replication, though it does not count as a tesselation because of the arrow shaped gaps.

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