Acronym | hexatip |
Name | hexagonal tiling prism |
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This euclidean honeycomb uses hexat (for cells) in the sense of an infinite horohedron.
Incidence matrix according to Dynkin symbol
x o3o6x (N → ∞) . . . . | 4N | 1 3 | 3 3 | 3 1 --------+----+-------+-------+---- x . . . | 2 | 2N * | 3 0 | 3 0 . . . x | 2 | * 6N | 1 2 | 2 1 --------+----+-------+-------+---- x . . x | 4 | 2 2 | 3N * | 2 0 . . o6x | 6 | 0 6 | * 2N | 1 1 --------+----+-------+-------+---- x . o6x ♦ 12 | 6 12 | 6 2 | N * . o3o6x ♦ 2N | 0 3N | 0 N | * 2 snubbed forms: s2o3o6s
x x3x6o (N → ∞) . . . . | 12N | 1 1 2 | 1 2 2 1 | 2 1 1 --------+-----+-----------+-------------+------- x . . . | 2 | 6N * * | 1 2 0 0 | 2 1 0 . x . . | 2 | * 6N * | 1 0 2 0 | 2 0 1 . . x . | 2 | * * 12N | 0 1 1 1 | 1 1 1 --------+-----+-----------+-------------+------- x x . . | 4 | 2 2 0 | 3N * * * | 2 0 0 x . x . | 4 | 2 0 2 | * 6N * * | 1 1 0 . x3x . | 6 | 0 3 3 | * * 4N * | 1 0 1 . . x6o | 6 | 0 0 6 | * * * 2N | 0 1 1 --------+-----+-----------+-------------+------- x x3x . ♦ 12 | 6 6 6 | 3 3 2 0 | 2N * * x . x6o ♦ 12 | 6 0 12 | 0 6 0 2 | * N * . x3x6o ♦ 6N | 0 3N 6N | 0 0 2N N | * * 2 snubbed forms: s2s3s6o
x x3x3x3*b (N → ∞) . . . . | 12N | 1 1 1 1 | 1 1 1 1 1 1 | 1 1 1 1 -----------+-----+-------------+-------------------+-------- x . . . | 2 | 6N * * * | 1 1 1 0 0 0 | 1 1 1 0 . x . . | 2 | * 6N * * | 1 0 0 1 1 0 | 1 1 0 1 . . x . | 2 | * * 6N * | 0 1 0 1 0 1 | 1 0 1 1 . . . x | 2 | * * * 6N | 0 0 1 0 1 1 | 0 1 1 1 -----------+-----+-------------+-------------------+-------- x x . . | 4 | 2 2 0 0 | 3N * * * * * | 1 1 0 0 x . x . | 4 | 2 0 2 0 | * 3N * * * * | 1 0 1 0 x . . x | 4 | 2 0 0 2 | * * 3N * * * | 0 1 1 0 . x3x . | 6 | 0 3 3 0 | * * * 2N * * | 1 0 0 1 . x . x3*b | 6 | 0 3 0 3 | * * * * 2N * | 0 1 0 1 . . x3x | 6 | 0 0 3 3 | * * * * * 2N | 0 0 1 1 -----------+-----+-------------+-------------------+-------- x x3x . ♦ 12 | 6 6 6 0 | 3 3 0 2 0 0 | N * * * x x . x3*b ♦ 12 | 6 6 0 6 | 3 0 3 0 2 0 | * N * * x . x3x ♦ 12 | 6 0 6 6 | 0 3 3 0 0 2 | * * N * . x3x3x3*b ♦ 6N | 0 3N 3N 3N | 0 0 0 N N N | * * * 2
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