Acronym gactipeca
Name great cubatitrunciprismated cubatiapeiratic honeycomb
Vertex figure ©
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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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