| Acronym | batch |
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bitruncated cubic honeycomb, truncated-octahedral honeycomb, Voronoi complex of body-centered cubic (bcc) lattice |
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| Vertex figure |
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| Confer | |
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Incidence matrix according to Dynkin symbol
o4x3x4o (N→∞) . . . . | 12N | 2 2 | 1 4 1 | 2 2 --------+-----+---------+----------+---- . x . . | 2 | 12N * | 1 2 0 | 2 1 . . x . | 2 | * 12N | 0 2 1 | 1 2 --------+-----+---------+----------+---- o4x . . | 4 | 4 0 | 3N * * | 2 0 . x3x . | 6 | 3 3 | * 8N * | 1 1 . . x4o | 4 | 0 4 | * * 3N | 0 2 --------+-----+---------+----------+---- o4x3x . ♦ 24 | 24 12 | 6 8 0 | N * . x3x4o ♦ 24 | 12 24 | 0 8 6 | * N or . . . . | 6N | 4 | 2 4 | 4 -----------+----+-----+-------+-- . x . . & | 2 | 12N | 1 2 | 3 -----------+----+-----+-------+-- o4x . . & | 4 | 4 | 3N * | 2 . x3x . | 6 | 6 | * 4N | 2 -----------+----+-----+-------+-- o4x3x . & ♦ 24 | 36 | 6 8 | N
x3x3x *b4o (N→∞) . . . . | 24N | 1 2 1 | 2 1 2 1 | 2 1 1 -----------+-----+-------------+-------------+------- x . . . | 2 | 12N * * | 2 1 0 0 | 2 1 0 . x . . | 2 | * 24N * | 1 0 1 1 | 1 1 1 . . x . | 2 | * * 12N | 0 1 2 0 | 2 0 1 -----------+-----+-------------+-------------+------- x3x . . | 6 | 3 3 0 | 8N * * * | 1 1 0 x . x . | 4 | 2 0 2 | * 6N * * | 2 0 0 . x3x . | 6 | 0 3 3 | * * 8N * | 1 0 1 . x . *b4o | 4 | 0 4 0 | * * * 6N | 0 1 1 -----------+-----+-------------+-------------+------- x3x3x . ♦ 24 | 12 12 12 | 4 6 4 0 | 2N * * x3x . *b4o ♦ 24 | 12 24 0 | 8 0 0 6 | * N * . x3x *b4o ♦ 24 | 0 24 12 | 0 0 8 6 | * * N
x3x3x3x3*a (N→∞) . . . . | 24N | 1 1 1 1 | 1 1 1 1 1 1 | 1 1 1 1 -----------+-----+-----------------+-------------------+-------- x . . . | 2 | 12N * * * | 1 1 1 0 0 0 | 1 1 1 0 . x . . | 2 | * 12N * * | 1 0 0 1 1 0 | 1 1 0 1 . . x . | 2 | * * 12N * | 0 1 0 1 0 1 | 1 0 1 1 . . . x | 2 | * * * 12N | 0 0 1 0 1 1 | 0 1 1 1 -----------+-----+-----------------+-------------------+-------- x3x . . | 6 | 3 3 0 0 | 4N * * * * * | 1 1 0 0 x . x . | 4 | 2 0 2 0 | * 6N * * * * | 1 0 1 0 x . . x3*a | 6 | 3 0 0 3 | * * 4N * * * | 0 1 1 0 . x3x . | 6 | 0 3 3 0 | * * * 4N * * | 1 0 0 1 . x . x | 4 | 0 2 0 2 | * * * * 6N * | 0 1 0 1 . . x3x | 6 | 0 0 3 3 | * * * * * 4N | 0 0 1 1 -----------+-----+-----------------+-------------------+-------- x3x3x . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 | N * * * x3x . x3*a ♦ 24 | 12 12 0 12 | 4 0 4 0 6 0 | * N * * x . x3x3*a ♦ 24 | 12 0 12 12 | 0 6 4 0 0 4 | * * N * . x3x3x ♦ 24 | 0 12 12 12 | 0 0 0 4 6 4 | * * * N
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