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Acronymgacquitpica
Namegreat cubatiquasitrunciprismated cubatiapeiratic honeycomb
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As abstract polytope gacquitpica is isomorphic tocaquitpica, thereby replacing the octagramsof the diagrammal tail by octagons, resp.quitco bygirco andquitsquat byqrasquit.– It also is isomorphic togactipeca, thereby interchanging octagons and octagramswithin the diagrammal loop, resp. replacingop bystop andquitsquat byqrasquit.– Finally it is isomorphic tocutpica, when applying both these changes independantly,thereby replacingquitsquat bytosquat.


Incidence matrix according toDynkin 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  0x   . x .      |    4 |    2    0    2    0 |   * 12NM    *   *   *   * |  1  0   1  0x   . . 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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