Acronym gactipeca
Name great cubatitrunciprismated cubatiapeiratic honeycomb

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


Incidence matrix according to Dynkin symbol

x4/3x3x4/3x4*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
---------------+------+---------------------+---------------------------+-------------
x4/3x .   .    |    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
---------------+------+---------------------+---------------------------+-------------
x4/3x3x   .       48 |   24   24   24    0 |   6   12    0   8   0   0 | NM  *   *  *
x4/3x .   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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