Acronym squarico
Name square - rectified-icositetrachoron duoprism
Circumradius sqrt(7/2) = 1.870829
Confer n,rico-dip  

Incidence matrix according to Dynkin symbol

x4o o3x4o3o

. . . . . . | 384 |   2    6 |  1   12   3   6 |   6   6  12  3  2 |  3   6  6  4 1 |  3  2 2
------------+-----+----------+-----------------+-------------------+----------------+--------
x . . . . . |   2 | 384    * |  1    6   0   0 |   6   3   6  0  0 |  3   6  3  2 0 |  3  2 1
. . . x . . |   2 |   * 1152 |  0    2   1   2 |   1   2   4  2  1 |  1   2  4  2 1 |  2  1 2
------------+-----+----------+-----------------+-------------------+----------------+--------
x4o . . . . |   4 |   4    0 | 96    *   *   * |   6   0   0  0  0 |  3   6  0  0 0 |  3  2 0
x . . x . . |   4 |   2    2 |  * 1152   *   * |   1   1   2  0  0 |  1   2  2  1 0 |  2  1 1
. . o3x . . |   3 |   0    3 |  *    * 384   * |   0   2   0  2  0 |  1   0  4  0 1 |  2  0 2
. . . x4o . |   4 |   0    4 |  *    *   * 576 |   0   0   2  1  1 |  0   1  2  2 1 |  1  1 2
------------+-----+----------+-----------------+-------------------+----------------+--------
x4o . x . .    8 |   8    4 |  2    4   0   0 | 288   *   *  *  * |  1   2  0  0 0 |  2  1 0
x . o3x . .    6 |   3    6 |  0    3   2   0 |   * 384   *  *  * |  1   0  2  0 0 |  2  0 1
x . . x4o .    8 |   4    8 |  0    4   0   2 |   *   * 576  *  * |  0   1  1  1 0 |  1  1 1
. . o3x4o .   12 |   0   24 |  0    0   8   6 |   *   *   * 96  * |  0   0  2  0 1 |  1  0 2
. . . x4o3o    8 |   0   12 |  0    0   0   6 |   *   *   *  * 96 |  0   0  0  2 1 |  0  1 2
------------+-----+----------+-----------------+-------------------+----------------+--------
x4o o3x . .   12 |  12   12 |  3   12   4   0 |   3   4   0  0  0 | 96   *  *  * * |  2  0 0
x4o . x4o .   16 |  16   16 |  4   16   0   4 |   4   0   4  0  0 |  * 144  *  * * |  1  1 0
x . o3x4o .   24 |  12   48 |  0   24  16  12 |   0   8   6  2  0 |  *   * 96  * * |  1  0 1
x . . x4o3o   16 |   8   24 |  0   12   0  12 |   0   0   6  0  2 |  *   *  * 96 * |  0  1 1
. . o3x4o3o   96 |   0  288 |  0    0  96 144 |   0   0   0 24 24 |  *   *  *  * 4 |  0  0 2
------------+-----+----------+-----------------+-------------------+----------------+--------
x4o o3x4o .   48 |  48   96 | 12   96  32  24 |  24  32  24  4  0 |  8   6  4  0 0 | 24  * *
x4o . x4o3o   32 |  32   48 |  8   48   0  24 |  12   0  24  0  4 |  0   6  0  4 0 |  * 24 *
x . o3x4o3o  192 |  96  576 |  0  288 192 288 |   0  96 144 48 48 |  0   0 24 24 2 |  *  * 4

x x o3x4o3o

. . . . . . | 384 |   1   1    6 |  1   6   6   3   6 |   6   3   6   3   6  3  2 |  3   6  3  2  3  2 1 |  3  2 1 1
------------+-----+--------------+--------------------+---------------------------+----------------------+----------
x . . . . . |   2 | 192   *    * |  1   6   0   0   0 |   6   3   6   0   0  0  0 |  3   6  3  2  0  0 0 |  3  2 1 0
. x . . . . |   2 |   * 192    * |  1   0   6   0   0 |   6   0   0   3   6  0  0 |  3   6  0  0  3  2 0 |  3  2 0 1
. . . x . . |   2 |   *   * 1152 |  0   1   1   1   2 |   1   1   2   1   2  2  1 |  1   2  2  1  2  1 1 |  2  1 1 1
------------+-----+--------------+--------------------+---------------------------+----------------------+----------
x x . . . . |   4 |   2   2    0 | 96   *   *   *   * |   6   0   0   0   0  0  0 |  3   6  0  0  0  0 0 |  3  2 0 0
x . . x . . |   4 |   2   0    2 |  * 576   *   *   * |   1   1   2   0   0  0  0 |  1   2  2  1  0  0 0 |  2  1 1 0
. x . x . . |   4 |   0   2    2 |  *   * 576   *   * |   1   0   0   1   2  0  0 |  1   2  0  0  2  1 0 |  2  1 0 1
. . o3x . . |   3 |   0   0    3 |  *   *   * 384   * |   0   1   0   1   0  2  0 |  1   0  2  0  2  0 1 |  2  0 1 1
. . . x4o . |   4 |   0   0    4 |  *   *   *   * 576 |   0   0   1   0   1  1  1 |  0   1  1  1  1  1 1 |  1  1 1 1
------------+-----+--------------+--------------------+---------------------------+----------------------+----------
x x . x . .    8 |   4   4    4 |  2   2   2   0   0 | 288   *   *   *   *  *  * |  1   2  0  0  0  0 0 |  2  1 0 0
x . o3x . .    6 |   3   0    6 |  0   3   0   2   0 |   * 192   *   *   *  *  * |  1   0  2  0  0  0 0 |  2  0 1 0
x . . x4o .    8 |   4   0    8 |  0   4   0   0   2 |   *   * 288   *   *  *  * |  0   1  1  1  0  0 0 |  1  1 1 0
. x o3x . .    6 |   0   3    6 |  0   0   3   2   0 |   *   *   * 192   *  *  * |  1   0  0  0  2  0 0 |  2  0 0 1
. x . x4o .    8 |   0   4    8 |  0   0   4   0   2 |   *   *   *   * 288  *  * |  0   1  0  0  1  1 0 |  1  1 0 1
. . o3x4o .   12 |   0   0   24 |  0   0   0   8   6 |   *   *   *   *   * 96  * |  0   0  1  0  1  0 1 |  1  0 1 1
. . . x4o3o    8 |   0   0   12 |  0   0   0   0   6 |   *   *   *   *   *  * 96 |  0   0  0  1  0  1 1 |  0  1 1 1
------------+-----+--------------+--------------------+---------------------------+----------------------+----------
x x o3x . .   12 |   6   6   12 |  3   6   6   4   0 |   3   2   0   2   0  0  0 | 96   *  *  *  *  * * |  2  0 0 0
x x . x4o .   16 |   8   8   16 |  4   8   8   0   4 |   4   0   2   0   2  0  0 |  * 144  *  *  *  * * |  1  1 0 0
x . o3x4o .   24 |  12   0   48 |  0  24   0  16  12 |   0   8   6   0   0  2  0 |  *   * 48  *  *  * * |  1  0 1 0
x . . x4o3o   16 |   8   0   24 |  0  12   0   0  12 |   0   0   6   0   0  0  2 |  *   *  * 48  *  * * |  0  1 1 0
. x o3x4o .   24 |   0  12   48 |  0   0  24  16  12 |   0   0   0   8   6  2  0 |  *   *  *  * 48  * * |  1  0 0 1
. x . x4o3o   16 |   0   8   24 |  0   0  12   0  12 |   0   0   0   0   6  0  2 |  *   *  *  *  * 48 * |  0  1 0 1
. . o3x4o3o   96 |   0   0  288 |  0   0   0  96 144 |   0   0   0   0   0 24 24 |  *   *  *  *  *  * 4 |  0  0 1 1
------------+-----+--------------+--------------------+---------------------------+----------------------+----------
x x o3x4o .   48 |  24  24   96 | 12  48  48  32  24 |  24  16  12  16  12  4  0 |  8   6  2  0  2  0 0 | 24  * * *
x x . x4o3o   32 |  16  16   48 |  8  24  24   0  24 |  12   0  12   0  12  0  4 |  0   6  0  2  0  2 0 |  * 24 * *
x . o3x4o3o  192 |  96   0  576 |  0 288   0 192 288 |   0  96 144   0   0 48 48 |  0   0 24 24  0  0 2 |  *  * 2 *
. x o3x4o3o  192 |   0  96  576 |  0   0 288 192 288 |   0   0   0  96 144 48 48 |  0   0  0  0 24 24 2 |  *  * * 2

© 2004-2019
top of page