Acronym squadoe
Name square-dodecahedron duoprism
Circumradius sqrt[(13+3 sqrt(5))/8] = 1.569562
Confer
more general:
n,doe-dip  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x4o o3o5x

. . . . . | 80 |  2   3 |  1   6  3 |  3  6 1 |  3 2
----------+----+--------+-----------+---------+-----
x . . . . |  2 | 80   * |  1   3  0 |  3  3 0 |  3 1
. . . . x |  2 |  * 120 |  0   2  2 |  1  4 1 |  2 2
----------+----+--------+-----------+---------+-----
x4o . . . |  4 |  4   0 | 20   *  * |  3  0 0 |  3 0
x . . . x |  4 |  2   2 |  * 120  * |  1  2 0 |  2 1
. . . o5x |  5 |  0   5 |  *   * 48 |  0  2 1 |  1 2
----------+----+--------+-----------+---------+-----
x4o . . x   8 |  8   4 |  2   4  0 | 30  * * |  2 0
x . . o5x  10 |  5  10 |  0   5  2 |  * 48 * |  1 1
. . o3o5x  20 |  0  30 |  0   0 12 |  *  * 4 |  0 2
----------+----+--------+-----------+---------+-----
x4o . o5x  20 | 20  20 |  5  20  4 |  5  4 0 | 12 *
x . o3o5x  40 | 20  60 |  0  30 24 |  0 12 2 |  * 4

x x o3o5x

. . . . . | 80 |  1  1   3 |  1  3  3  3 |  3  3  3 1 |  3 1 1
----------+----+-----------+-------------+------------+-------
x . . . . |  2 | 40  *   * |  1  3  0  0 |  3  3  0 0 |  3 1 0
. x . . . |  2 |  * 40   * |  1  0  3  0 |  3  0  3 0 |  3 0 1
. . . . x |  2 |  *  * 120 |  0  1  1  2 |  1  2  2 1 |  2 1 1
----------+----+-----------+-------------+------------+-------
x x . . . |  4 |  2  2   0 | 20  *  *  * |  3  0  0 0 |  3 0 0
x . . . x |  4 |  2  0   2 |  * 60  *  * |  1  2  0 0 |  2 1 0
. x . . x |  4 |  0  2   2 |  *  * 60  * |  1  0  2 0 |  2 0 1
. . . o5x |  5 |  0  0   5 |  *  *  * 48 |  0  1  1 1 |  1 1 1
----------+----+-----------+-------------+------------+-------
x x . . x   8 |  4  4   4 |  2  2  2  0 | 30  *  * * |  2 0 0
x . . o5x  10 |  5  0  10 |  0  5  0  2 |  * 24  * * |  1 1 0
. x . o5x  10 |  0  5  10 |  0  0  5  2 |  *  * 24 * |  1 0 1
. . o3o5x  20 |  0  0  30 |  0  0  0 12 |  *  *  * 4 |  0 1 1
----------+----+-----------+-------------+------------+-------
x x . o5x  20 | 10 10  20 |  5 10 10  4 |  5  2  2 0 | 12 * *
x . o3o5x  40 | 20  0  60 |  0 30  0 24 |  0 12  0 2 |  * 2 *
. x o3o5x  40 |  0 20  60 |  0  0 30 24 |  0  0 12 2 |  * * 2

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