Planar acron
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A planar acron is an acron with an angular defect of 0. There are exactly 21 planar acra, 6 of which cannot appear in any CRF tiling.
List of planar acra[edit | edit source]
Acron | Image | Example CRF tiling | Tiling type |
---|---|---|---|
3-3-3-3-3-3 | Triangular tiling | Regular | |
4-4-3-3-3 | Elongated triangular tiling | Uniform | |
4-3-4-3-3 | Snub square tiling | Uniform | |
4-4-4-4 | Square tiling | Regular | |
6-3-3-3-3 | Snub trihexagonal tiling | Uniform | |
6-6-3-3 | Augmented hexagonal tiling | 2-uniform | |
6-3-6-3 | Trihexagonal tiling | Uniform | |
6-6-6 | Hexagonal tiling | Regular | |
6-4-4-3 | Elongated trihexagonal tiling | 2-uniform | |
6-4-3-4 | Small rhombitrihexagonal tiling | Uniform | |
8-8-4 | Truncated square tiling | Uniform | |
10-5-5 | None | ||
12-4-3-3 | Augmented great rhombitrihexagonal tiling | 2-uniform | |
12-3-4-3 | Sesquitruncated square tiling | 2-uniform | |
12-6-4 | Great rhombitrihexagonal tiling | Uniform | |
12-12-3 | Truncated hexagonal tiling | Uniform | |
15-10-3 | None | ||
18-9-3 | None | ||
20-5-4 | None | ||
24-8-3 | None | ||
42-7-3 | None |