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Acronymsutia
Namesmall-tetrakisicositetrachoron alterprism
Circumradiussqrt[(117-27 sqrt(2))/28] = 1.677756
Face vector1152, 4032, 4224, 1440, 98
Confer
general polytopal classes:
segmentotera  scaliform  

Incidence matrix according toDynkin symbol

xx3ox4xo3xx4/3*a&#x   → height = sqrt[(5+sqrt(2))/7] = 0.957244o.3o.4o.3o.4/3*a    & | 1152 |    2    2   1    2 |   1   2   2   1   2    4    3 |  1  1  2  1   3   3   2   1 | 1  2  3----------------------+------+--------------------+-------------------------------+-----------------------------+--------x. .. .. ..         & |    2 | 1152    *   *    * |   1   1   1   0   0    1    0 |  1  1  1  0   1   1   1   0 | 1  1  2.. .. x. ..         & |    2 |    * 1152   *    * |   0   1   0   1   1    0    1 |  1  0  1  1   1   1   0   1 | 1  2  1.. .. .. x.         & |    2 |    *    * 576    * |   0   0   2   0   2    2    0 |  0  1  2  1   2   1   2   0 | 1  1  3oo3oo4oo3oo4/3*a&#x   |    2 |    *    *   * 1152 |   0   0   0   0   0    2    2 |  0  0  0  0   2   2   1   1 | 0  2  2----------------------+------+--------------------+-------------------------------+-----------------------------+--------x.3o. .. ..         & |    3 |    3    0   0    0 | 384   *   *   *   *    *    * |  1  1  0  0   1   0   0   0 | 1  1  1x. .. x. ..         & |    4 |    2    2   0    0 |   * 576   *   *   *    *    * |  1  0  1  0   0   1   0   0 | 1  1  1x. .. .. x.4/3*a    & |    8 |    4    0   4    0 |   *   * 288   *   *    *    * |  0  1  1  0   0   0   1   0 | 1  0  2  {8/3}.. o.4x. ..         & |    4 |    0    4   0    0 |   *   *   * 288   *    *    * |  1  0  0  1   0   0   0   1 | 1  2  0.. .. x.3x.         & |    6 |    0    3   3    0 |   *   *   *   * 384    *    * |  0  0  1  1   1   0   0   0 | 1  1  1xx .. .. ..     &#x & |    4 |    1    0   1    2 |   *   *   *   *   * 1152    * |  0  0  0  0   1   1   1   0 | 0  1  2.. ox .. ..     &#x & |    3 |    0    1   0    2 |   *   *   *   *   *    * 1152 |  0  0  0  0   1   1   0   1 | 0  2  1----------------------+------+--------------------+-------------------------------+-----------------------------+--------x.3o.4x. ..         &   24 |   24   24   0    0 |   8  12   0   6   0    0    0 | 48  *  *  *   *   *   *   * | 1  1  0x.3o. .. x.4/3*a    &   24 |   24    0  12    0 |   8   0   6   0   0    0    0 |  * 48  *  *   *   *   *   * | 1  0  1x. .. x.3x.4/3*a    &   48 |   24   24  24    0 |   0  12   6   0   8    0    0 |  *  * 48  *   *   *   *   * | 1  0  1.. o.4x.3x.         &   24 |    0   24  12    0 |   0   0   0   6   8    0    0 |  *  *  * 48   *   *   *   * | 1  1  0xx3ox .. ..     &#x &    9 |    3    3   3    6 |   1   0   0   0   1    3    3 |  *  *  *  * 384   *   *   * | 0  1  1xx .. xo ..     &#x &    6 |    2    2   1    4 |   0   1   0   0   0    2    2 |  *  *  *  *   * 576   *   * | 0  1  1xx .. .. xx4/3*a&#x   16 |    8    0   8    8 |   0   0   2   0   0    8    0 |  *  *  *  *   *   * 144   * | 0  0  2.. ox4xo ..     &#x    8 |    0    8   0    8 |   0   0   0   2   0    0    8 |  *  *  *  *   *   *   * 144 | 0  2  0----------------------+------+--------------------+-------------------------------+-----------------------------+--------x.3o.4x.3x.4/3*a    &  576 |  576  576 288    0 | 192 288 144 144 192    0    0 | 24 24 24 24   0   0   0   0 |2  *  *xx3ox4xo ..     &#x &   48 |   24   48  12   48 |   8  12   0  12   8   24   48 |  1  0  0  1   8  12   0   6 | * 48  *xx .. xo3xx4/3*a&#x &   72 |   48   24  36   48 |   8  12  12   0   8   48   24 |  0  1  1  0   8  12   6   0 | *  * 48

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