Acronym squasrid
Name square - small-rhombicosidodecahedron duoprism
Circumradius sqrt[sqrt(5)+13/4] = 2.342236
Confer
more general:
n,srid-dip  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x4o x3o5x

. . . . . | 240 |   2   2   2 |  1   4   4  1   2  1 |  2  2  2   4  2 1 |  1  2  1 2
----------+-----+-------------+----------------------+-------------------+-----------
x . . . . |   2 | 240   *   * |  1   2   2  0   0  0 |  2  2  1   2  1 0 |  1  2  1 1
. . x . . |   2 |   * 240   * |  0   2   0  1   1  0 |  1  0  2   2  0 1 |  1  1  0 2
. . . . x |   2 |   *   * 240 |  0   0   2  0   1  1 |  0  1  0   2  2 1 |  0  1  1 2
----------+-----+-------------+----------------------+-------------------+-----------
x4o . . . |   4 |   4   0   0 | 60   *   *  *   *  * |  2  2  0   0  0 0 |  1  2  1 0
x . x . . |   4 |   2   2   0 |  * 240   *  *   *  * |  1  0  1   1  0 0 |  1  1  0 1
x . . . x |   4 |   2   0   2 |  *   * 240  *   *  * |  0  1  0   1  1 0 |  0  1  1 1
. . x3o . |   3 |   0   3   0 |  *   *   * 80   *  * |  0  0  2   0  0 1 |  1  0  0 2
. . x . x |   4 |   0   2   2 |  *   *   *  * 120  * |  0  0  0   2  0 1 |  0  1  0 2
. . . o5x |   5 |   0   0   5 |  *   *   *  *   * 48 |  0  0  0   0  2 1 |  0  0  1 2
----------+-----+-------------+----------------------+-------------------+-----------
x4o x . .    8 |   8   4   0 |  2   4   0  0   0  0 | 60  *  *   *  * * |  1  1  0 0
x4o . . x    8 |   8   0   4 |  2   0   4  0   0  0 |  * 60  *   *  * * |  0  1  1 0
x . x3o .    6 |   3   6   0 |  0   3   0  2   0  0 |  *  * 80   *  * * |  1  0  0 1
x . x . x    8 |   4   4   4 |  0   2   2  0   2  0 |  *  *  * 120  * * |  0  1  0 1
x . . o5x   10 |   5   0  10 |  0   0   5  0   0  2 |  *  *  *   * 48 * |  0  0  1 1
. . x3o5x   60 |   0  60  60 |  0   0   0 20  30 12 |  *  *  *   *  * 4 |  0  0  0 2
----------+-----+-------------+----------------------+-------------------+-----------
x4o x3o .   12 |  12  12   0 |  3  12   0  4   0  0 |  3  0  4   0  0 0 | 20  *  * *
x4o x . x   16 |  16   8   8 |  4   8   8  0   4  0 |  2  2  0   4  0 0 |  * 30  * *
x4o . o5x   20 |  20   0  20 |  5   0  20  0   0  4 |  0  5  0   0  4 0 |  *  * 12 *
x . x3o5x  120 |  60 120 120 |  0  60  60 40  60 24 |  0  0 20  30 12 2 |  *  *  * 4

x x x3o5x

. . . . . | 240 |   1   1   2   2 |  1   2   2   2   2  1   2  1 |  2  2  1  2  1  1  2  1 1 |  1  2  1 1 1
----------+-----+-----------------+------------------------------+---------------------------+-------------
x . . . . |   2 | 120   *   *   * |  1   2   2   0   0  0   0  0 |  2  2  1  2  1  0  0  0 0 |  1  2  1 1 0
. x . . . |   2 |   * 120   *   * |  1   0   0   2   2  0   0  0 |  2  2  0  0  0  1  2  1 0 |  1  2  1 0 1
. . x . . |   2 |   *   * 240   * |  0   1   0   1   0  1   1  0 |  1  0  1  1  0  1  1  0 1 |  1  1  0 1 1
. . . . x |   2 |   *   *   * 240 |  0   0   1   0   1  0   1  1 |  0  1  0  1  1  0  1  1 1 |  0  1  1 1 1
----------+-----+-----------------+------------------------------+---------------------------+-------------
x x . . . |   4 |   2   2   0   0 | 60   *   *   *   *  *   *  * |  2  2  0  0  0  0  0  0 0 |  1  2  1 0 0
x . x . . |   4 |   2   0   2   0 |  * 120   *   *   *  *   *  * |  1  0  1  1  0  0  0  0 0 |  1  1  0 1 0
x . . . x |   4 |   2   0   0   2 |  *   * 120   *   *  *   *  * |  0  1  0  1  1  0  0  0 0 |  0  1  1 1 0
. x x . . |   4 |   0   2   2   0 |  *   *   * 120   *  *   *  * |  1  0  0  0  0  1  1  0 0 |  1  1  0 0 1
. x . . x |   4 |   0   2   0   2 |  *   *   *   * 120  *   *  * |  0  1  0  0  0  0  1  1 0 |  0  1  1 0 1
. . x3o . |   3 |   0   0   3   0 |  *   *   *   *   * 80   *  * |  0  0  1  0  0  1  0  0 1 |  1  0  0 1 1
. . x . x |   4 |   0   0   2   2 |  *   *   *   *   *  * 120  * |  0  0  0  1  0  0  1  0 1 |  0  1  0 1 1
. . . o5x |   5 |   0   0   0   5 |  *   *   *   *   *  *   * 48 |  0  0  0  0  1  0  0  1 1 |  0  0  1 1 1
----------+-----+-----------------+------------------------------+---------------------------+-------------
x x x . .    8 |   4   4   4   0 |  2   2   0   2   0  0   0  0 | 60  *  *  *  *  *  *  * * |  1  1  0 0 0
x x . . x    8 |   4   4   0   4 |  2   0   2   0   2  0   0  0 |  * 60  *  *  *  *  *  * * |  0  1  1 0 0
x . x3o .    6 |   3   0   6   0 |  0   3   0   0   0  2   0  0 |  *  * 40  *  *  *  *  * * |  1  0  0 1 0
x . x . x    8 |   4   0   4   4 |  0   2   2   0   0  0   2  0 |  *  *  * 60  *  *  *  * * |  0  1  0 1 0
x . . o5x   10 |   5   0   0  10 |  0   0   5   0   0  0   0  2 |  *  *  *  * 24  *  *  * * |  0  0  1 1 0
. x x3o .    6 |   0   3   6   0 |  0   0   0   3   0  2   0  0 |  *  *  *  *  * 40  *  * * |  1  0  0 0 1
. x x . x    8 |   0   4   4   4 |  0   0   0   2   2  0   2  0 |  *  *  *  *  *  * 60  * * |  0  1  0 0 1
. x . o5x   10 |   0   5   0  10 |  0   0   0   0   5  0   0  2 |  *  *  *  *  *  *  * 24 * |  0  0  1 0 1
. . x3o5x   60 |   0   0  60  60 |  0   0   0   0   0 20  30 12 |  *  *  *  *  *  *  *  * 4 |  0  0  0 1 1
----------+-----+-----------------+------------------------------+---------------------------+-------------
x x x3o .   12 |   6   6  12   0 |  3   6   0   6   0  4   0  0 |  3  0  2  0  0  2  0  0 0 | 20  *  * * *
x x x . x   16 |   8   8   8   8 |  4   4   4   4   4  0   4  0 |  2  2  0  2  0  0  2  0 0 |  * 30  * * *
x x . o5x   20 |  10  10   0  20 |  5   0  10   0  10  0   0  4 |  0  5  0  0  2  0  0  2 0 |  *  * 12 * *
x . x3o5x  120 |  60   0 120 120 |  0  60  60   0   0 40  60 24 |  0  0 20 30 12  0  0  0 2 |  *  *  * 2 *
. x x3o5x  120 |   0  60 120 120 |  0   0   0  60  60 40  60 24 |  0  0  0  0  0 20 30 12 2 |  *  *  * * 2

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