Acronym gacquitpica
Name great cubatiquasitrunciprismated cubatiapeiratic honeycomb

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


Incidence matrix according to Dynkin symbol

x4/3x3x4x4/3*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
---------------+------+---------------------+---------------------------+-------------
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 . x4/3*b |    8 |    0    4    0    4 |   *    *    *   * 6NM   * |  0  1   0  1
.   . x4x      |    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 . x4/3*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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