Acronym squatid
Name square - truncated-dodecahedron duoprism
Circumradius sqrt[(41+15 sqrt(5))/8] = 3.052479
Confer
more general:
n,tid-dip  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x4o o3x5x

. . . . . | 240 |   2   2   1 |  1   4   2  1  2 |  2  1  2  4 1 |  1  2 2
----------+-----+-------------+------------------+---------------+--------
x . . . . |   2 | 240   *   * |  1   2   1  0  0 |  2  1  1  2 0 |  1  2 1
. . . x . |   2 |   * 240   * |  0   2   0  1  1 |  1  0  2  2 1 |  1  1 2
. . . . x |   2 |   *   * 120 |  0   0   2  0  2 |  0  1  0  4 1 |  0  2 2
----------+-----+-------------+------------------+---------------+--------
x4o . . . |   4 |   4   0   0 | 60   *   *  *  * |  2  1  0  0 0 |  1  2 0
x . . x . |   4 |   2   2   0 |  * 240   *  *  * |  1  0  1  1 0 |  1  1 1
x . . . x |   4 |   2   0   2 |  *   * 120  *  * |  0  1  0  2 0 |  0  2 1
. . o3x . |   3 |   0   3   0 |  *   *   * 80  * |  0  0  2  0 1 |  1  0 2
. . . x5x |  10 |   0   5   5 |  *   *   *  * 48 |  0  0  0  2 1 |  0  1 2
----------+-----+-------------+------------------+---------------+--------
x4o . x .    8 |   8   4   0 |  2   4   0  0  0 | 60  *  *  * * |  1  1 0
x4o . . x    8 |   8   0   4 |  2   0   4  0  0 |  * 30  *  * * |  0  2 0
x . o3x .    6 |   3   6   0 |  0   3   0  2  0 |  *  * 80  * * |  1  0 1
x . . x5x   20 |  10  10  10 |  0   5   5  0  2 |  *  *  * 48 * |  0  1 1
. . o3x5x   60 |   0  60  30 |  0   0   0 20 12 |  *  *  *  * 4 |  0  0 2
----------+-----+-------------+------------------+---------------+--------
x4o o3x .   12 |  12  12   0 |  3  12   0  4  0 |  3  0  4  0 0 | 20  * *
x4o . x5x   40 |  40  20  20 | 10  20  20  0  4 |  5  5  0  4 0 |  * 12 *
x . o3x5x  120 |  60 120  60 |  0  60  30 40 24 |  0  0 20 12 2 |  *  * 4

x x o3x5x

. . . . . | 240 |   1   1   2   1 |  1   2  1   2  1  1  2 |  2  1  1  2  1  2 1 |  1  2 1 1
----------+-----+-----------------+------------------------+---------------------+----------
x . . . . |   2 | 120   *   *   * |  1   2  1   0  0  0  0 |  2  1  1  2  0  0 0 |  1  2 1 0
. x . . . |   2 |   * 120   *   * |  1   0  0   2  1  0  0 |  2  1  0  0  1  2 0 |  1  2 0 1
. . . x . |   2 |   *   * 240   * |  0   1  0   1  0  1  1 |  1  0  1  1  1  1 1 |  1  1 1 1
. . . . x |   2 |   *   *   * 120 |  0   0  1   0  1  0  2 |  0  1  0  2  0  2 1 |  0  2 1 1
----------+-----+-----------------+------------------------+---------------------+----------
x x . . . |   4 |   2   2   0   0 | 60   *  *   *  *  *  * |  2  1  0  0  0  0 0 |  1  2 0 0
x . . x . |   4 |   2   0   2   0 |  * 120  *   *  *  *  * |  1  0  1  1  0  0 0 |  1  1 1 0
x . . . x |   4 |   2   0   0   2 |  *   * 60   *  *  *  * |  0  1  0  2  0  0 0 |  0  2 1 0
. x . x . |   4 |   0   2   2   0 |  *   *  * 120  *  *  * |  1  0  0  0  1  1 0 |  1  1 0 1
. x . . x |   4 |   0   2   0   2 |  *   *  *   * 60  *  * |  0  1  0  0  0  2 0 |  0  2 0 1
. . o3x . |   3 |   0   0   3   0 |  *   *  *   *  * 80  * |  0  0  1  0  1  0 1 |  1  0 1 1
. . . x5x |  10 |   0   0   5   5 |  *   *  *   *  *  * 48 |  0  0  0  1  0  1 1 |  0  1 1 1
----------+-----+-----------------+------------------------+---------------------+----------
x x . x .    8 |   4   4   4   0 |  2   2  0   2  0  0  0 | 60  *  *  *  *  * * |  1  1 0 0
x x . . x    8 |   4   4   0   4 |  2   0  2   0  2  0  0 |  * 30  *  *  *  * * |  0  2 0 0
x . o3x .    6 |   3   0   6   0 |  0   3  0   0  0  2  0 |  *  * 40  *  *  * * |  1  0 1 0
x . . x5x   20 |  10   0  10  10 |  0   5  5   0  0  0  2 |  *  *  * 24  *  * * |  0  1 1 0
. x o3x .    6 |   0   3   6   0 |  0   0  0   3  0  2  0 |  *  *  *  * 40  * * |  1  0 0 1
. x . x5x   20 |   0  10  10  10 |  0   0  0   5  5  0  2 |  *  *  *  *  * 24 * |  0  1 0 1
. . o3x5x   60 |   0   0  60  30 |  0   0  0   0  0 20 12 |  *  *  *  *  *  * 4 |  0  0 1 1
----------+-----+-----------------+------------------------+---------------------+----------
x x o3x .   12 |   6   6  12   0 |  3   6  0   6  0  4  0 |  3  0  2  0  2  0 0 | 20  * * *
x x . x5x   40 |  20  20  20  20 | 10  10 10  10 10  0  4 |  5  5  0  2  0  2 0 |  * 12 * *
x . o3x5x  120 |  60   0 120  60 |  0  60 30   0  0 40 24 |  0  0 20 12  0  0 2 |  *  * 2 *
. x o3x5x  120 |   0  60 120  60 |  0   0  0  60 30 40 24 |  0  0  0  0 20 12 2 |  *  * * 2

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