Acronym rothaph
Name rhombitriangular-hexagonal prismatic honeycomb
 
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Incidence matrix according to Dynkin symbol

x∞o x3o6x   (N → ∞)

. . . . . | 6N |  2  2  2 |  4  4  1  2 1 |  2  4 2
----------+----+----------+---------------+--------
x . . . . |  2 | 6N  *  * |  2  2  0  0 0 |  1  2 1
. . x . . |  2 |  * 6N  * |  2  0  1  1 0 |  2  2 0
. . . . x |  2 |  *  * 6N |  0  2  0  1 1 |  0  2 2
----------+----+----------+---------------+--------
x . x . . |  4 |  2  2  0 | 6N  *  *  * * |  1  1 0
x . . . x |  4 |  2  0  2 |  * 6N  *  * * |  0  1 1
. . x3o . |  3 |  0  3  0 |  *  * 2N  * * |  2  0 0
. . x . x |  4 |  0  2  2 |  *  *  * 3N * |  0  2 0
. . . o6x |  6 |  0  0  6 |  *  *  *  * N |  0  0 2
----------+----+----------+---------------+--------
x . x3o .   6 |  3  6  0 |  3  0  2  0 0 | 2N  * *
x . x . x   8 |  4  4  4 |  2  2  0  2 0 |  * 3N *
x . . o6x  12 |  6  0 12 |  0  6  0  0 2 |  *  * N

snubbed forms: s∞o2x3o6s

x∞x x3o6x   (N → ∞)

. . . . . | 12N |  1  1   2   2 |  2  2  2  2  1  2  1 |  1  2 1  1  2 1
----------+-----+---------------+----------------------+----------------
x . . . . |   2 | 6N  *   *   * |  2  2  0  0  0  0  0 |  1  2 1  0  0 0
. x . . . |   2 |  * 6N   *   * |  0  0  2  2  0  0  0 |  0  0 0  1  2 1
. . x . . |   2 |  *  * 12N   * |  1  0  1  0  1  1  0 |  1  1 0  1  1 0
. . . . x |   2 |  *  *   * 12N |  0  1  0  1  0  1  1 |  0  1 1  0  1 1
----------+-----+---------------+----------------------+----------------
x . x . . |   4 |  2  0   2   0 | 6N  *  *  *  *  *  * |  1  1 0  0  0 0
x . . . x |   4 |  2  0   0   2 |  * 6N  *  *  *  *  * |  0  1 1  0  0 0
. x x . . |   4 |  0  2   2   0 |  *  * 6N  *  *  *  * |  0  0 0  1  1 0
. x . . x |   4 |  0  2   0   2 |  *  *  * 6N  *  *  * |  0  0 0  0  1 1
. . x3o . |   3 |  0  0   3   0 |  *  *  *  * 4N  *  * |  1  0 0  1  0 0
. . x . x |   4 |  0  0   2   2 |  *  *  *  *  * 6N  * |  0  1 0  0  1 0
. . . o6x |   6 |  0  0   0   6 |  *  *  *  *  *  * 2N |  0  0 1  0  0 1
----------+-----+---------------+----------------------+----------------
x . x3o .    6 |  3  0   6   0 |  3  0  0  0  2  0  0 | 2N  * *  *  * *
x . x . x    8 |  4  0   4   4 |  2  2  0  0  0  2  0 |  * 3N *  *  * *
x . . o6x   12 |  6  0   0  12 |  0  6  0  0  0  0  2 |  *  * N  *  * *
. x x3o .    6 |  0  3   6   0 |  0  0  3  0  2  0  0 |  *  * * 2N  * *
. x x . x    8 |  0  4   4   4 |  0  0  2  2  0  2  0 |  *  * *  * 3N *
. x . o6x   12 |  0  6   0  12 |  0  0  0  6  0  0  2 |  *  * *  *  * N

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