Acronym | grothaph (old: otathaph) |
Name |
great rhombitrihexagonal prismatic honeycomb, omnitruncated triangular-hexagonal prismatic honeycomb |
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Incidence matrix according to Dynkin symbol
x∞o x3x6x (N → ∞) . . . . . | 12N | 2 1 1 1 | 2 2 2 1 1 1 | 2 2 2 ----------+-----+--------------+------------------+-------- x . . . . | 2 | 12N * * * | 1 1 1 0 0 0 | 1 1 1 . . x . . | 2 | * 6N * * | 2 0 0 1 1 0 | 2 2 0 . . . x . | 2 | * * 6N * | 0 2 0 1 0 1 | 2 0 2 . . . . x | 2 | * * * 6N | 0 0 2 0 1 1 | 0 2 2 ----------+-----+--------------+------------------+-------- x . x . . | 4 | 2 2 0 0 | 6N * * * * * | 1 1 0 x . . x . | 4 | 2 0 2 0 | * 6N * * * * | 1 0 1 x . . . x | 4 | 2 0 0 2 | * * 6N * * * | 0 1 1 . . x3x . | 6 | 0 3 3 0 | * * * 2N * * | 2 0 0 . . x . x | 4 | 0 2 0 2 | * * * * 3N * | 0 2 0 . . . x6x | 12 | 0 0 6 6 | * * * * * N | 0 0 2 ----------+-----+--------------+------------------+-------- x . x3x . ♦ 12 | 6 6 6 0 | 3 3 0 2 0 0 | 2N * * x . x . x ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 | * 3N * x . . x6x ♦ 24 | 12 0 12 12 | 0 6 6 0 0 2 | * * N snubbed forms: s∞o2x3x6s, s∞o2s3s6x, s∞o2s3s6s
x∞x x3x6x (N → ∞) . . . . . | 24N | 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 1 ----------+-----+---------------------+----------------------------+---------------- x . . . . | 2 | 12N * * * * | 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 0 . x . . . | 2 | * 12N * * * | 0 0 0 1 1 1 0 0 0 | 0 0 0 1 1 1 . . x . . | 2 | * * 12N * * | 1 0 0 1 0 0 1 1 0 | 1 1 0 1 1 0 . . . x . | 2 | * * * 12N * | 0 1 0 0 1 0 1 0 1 | 1 0 1 1 0 1 . . . . x | 2 | * * * * 12N | 0 0 1 0 0 1 0 1 1 | 0 1 1 0 1 1 ----------+-----+---------------------+----------------------------+---------------- x . x . . | 4 | 2 0 2 0 0 | 6N * * * * * * * * | 1 1 0 0 0 0 x . . x . | 4 | 2 0 0 2 0 | * 6N * * * * * * * | 1 0 1 0 0 0 x . . . x | 4 | 2 0 0 0 2 | * * 6N * * * * * * | 0 1 1 0 0 0 . x x . . | 4 | 0 2 2 0 0 | * * * 6N * * * * * | 0 0 0 1 1 0 . x . x . | 4 | 0 2 0 2 0 | * * * * 6N * * * * | 0 0 0 1 0 1 . x . . x | 4 | 0 2 0 0 2 | * * * * * 6N * * * | 0 0 0 0 1 1 . . x3x . | 6 | 0 0 3 3 0 | * * * * * * 4N * * | 1 0 0 1 0 0 . . x . x | 4 | 0 0 2 0 2 | * * * * * * * 6N * | 0 1 0 0 1 0 . . . x6x | 12 | 0 0 0 6 6 | * * * * * * * * 2N | 0 0 1 0 0 1 ----------+-----+---------------------+----------------------------+---------------- x . x3x . ♦ 12 | 6 0 6 6 0 | 3 3 0 0 0 0 2 0 0 | 2N * * * * * x . x . x ♦ 8 | 4 0 4 0 4 | 2 0 2 0 0 0 0 2 0 | * 3N * * * * x . . x6x ♦ 24 | 12 0 0 12 12 | 0 6 6 0 0 0 0 0 2 | * * N * * * . x x3x . ♦ 12 | 0 6 6 6 0 | 0 0 0 3 3 0 2 0 0 | * * * 2N * * . x x . x ♦ 8 | 0 4 4 0 4 | 0 0 0 2 0 2 0 2 0 | * * * * 3N * . x . x6x ♦ 24 | 0 12 0 12 12 | 0 0 0 0 6 6 0 0 2 | * * * * * N snubbed forms: s∞x2s3s6s
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