Acronym cutpica
Name cubatitrunciprismated cubatiapeiratic honeycomb

As abstract polytope cutpica is isomorphic to gactipeca, thereby replacing the octagons of the diagrammal tail by octagrams, resp. girco by quitco and tosquat by qrasquit. – It also is isomorphic to caquitpica, thereby interchanging octagons and octagrams within the diagrammal loop, resp. replacing stop by op and tosquat by qrasquit. – Finally it is isomorphic to gacquitpica, when applying both these changes independantly, thereby replacing tosquat by quitsquat.


Incidence matrix according to Dynkin symbol

x4x3x4/3x4*b   (N,M → ∞)

. . .   .    | 48NM |    1    1    1    1 |   1    1    1   1   1   1 |  1  1   1  1
-------------+------+---------------------+---------------------------+-------------
x . .   .    |    2 | 24NM    *    *    * |   1    1    1   0   0   0 |  1  1   1  0
. x .   .    |    2 |    * 24NM    *    * |   1    0    0   1   1   0 |  1  1   0  1
. . x   .    |    2 |    *    * 24NM    * |   0    1    0   1   0   1 |  1  0   1  1
. . .   x    |    2 |    *    *    * 24NM |   0    0    1   0   1   1 |  0  1   1  1
-------------+------+---------------------+---------------------------+-------------
x4x .   .    |    8 |    4    4    0    0 | 6NM    *    *   *   *   * |  1  1   0  0
x . x   .    |    4 |    2    0    2    0 |   * 12NM    *   *   *   * |  1  0   1  0
x . .   x    |    4 |    2    0    0    2 |   *    * 12NM   *   *   * |  0  1   1  0
. x3x   .    |    6 |    0    3    3    0 |   *    *    * 8NM   *   * |  1  0   0  1
. x .   x4*b |    8 |    0    4    0    4 |   *    *    *   * 6NM   * |  0  1   0  1
. . x4/3x    |    8 |    0    0    4    4 |   *    *    *   *   * 6NM |  0  0   1  1
-------------+------+---------------------+---------------------------+-------------
x4x3x   .       48 |   24   24   24    0 |   6   12    0   8   0   0 | NM  *   *  *
x4x .   x4*b    8M |   4M   4M    0   4M |   M    0   2M   0   M   0 |  * 6N   *  *
x . x4/3x       16 |    8    0    8    8 |   0    4    4   0   0   2 |  *  * 3NM  *
. x3x4/3x4*b    48 |    0   24   24   24 |   0    0    0   8   6   6 |  *  *   * NM

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