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


Incidence matrix according to Dynkin symbol

x4x3x4x4/3*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 . x4/3*b |    8 |    0    4    0    4 |   *    *    *   * 6NM   * |  0  1   0  1
. . x4x      |    8 |    0    0    4    4 |   *    *    *   *   * 6NM |  0  0   1  1
-------------+------+---------------------+---------------------------+-------------
x4x3x .         48 |   24   24   24    0 |   6   12    0   8   0   0 | NM  *   *  *
x4x . x4/3*b    8M |   4M   4M    0   4M |   M    0   2M   0   M   0 |  * 6N   *  *
x . x4x         16 |    8    0    8    8 |   0    4    4   0   0   2 |  *  * 3NM  *
. x3x4x4/3*b    48 |    0   24   24   24 |   0    0    0   8   6   6 |  *  *   * NM

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