Acronym squid
Name square-icosidodecahedron duoprism
Circumradius sqrt[(4+sqrt(5))/2] = 1.765796
Confer
more general:
n,id-dip  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x4o o3x5o

. . . . . | 120 |   2   4 |  1   8  2  2 |  4  4  4 1 |  2  2 2
----------+-----+---------+--------------+------------+--------
x . . . . |   2 | 120   * |  1   4  0  0 |  4  2  2 0 |  2  2 1
. . . x . |   2 |   * 240 |  0   2  1  1 |  1  2  2 1 |  1  1 2
----------+-----+---------+--------------+------------+--------
x4o . . . |   4 |   4   0 | 30   *  *  * |  4  0  0 0 |  2  2 0
x . . x . |   4 |   2   2 |  * 240  *  * |  1  1  1 0 |  1  1 1
. . o3x . |   3 |   0   3 |  *   * 80  * |  0  2  0 1 |  1  0 2
. . . x5o |   5 |   0   5 |  *   *  * 48 |  0  0  2 1 |  0  1 2
----------+-----+---------+--------------+------------+--------
x4o . x .    8 |   8   4 |  2   4  0  0 | 60  *  * * |  1  1 0
x . o3x .    6 |   3   6 |  0   3  2  0 |  * 80  * * |  1  0 1
x . . x5o   10 |   5  10 |  0   5  0  2 |  *  * 48 * |  0  1 1
. . o3x5o   30 |   0  60 |  0   0 20 12 |  *  *  * 4 |  0  0 2
----------+-----+---------+--------------+------------+--------
x4o o3x .   12 |  12  12 |  3  12  4  0 |  3  4  0 0 | 20  * *
x4o . x5o   20 |  20  20 |  5  20  0  4 |  5  0  4 0 |  * 12 *
x . o3x5o   60 |  30 120 |  0  60 40 24 |  0 20 12 2 |  *  * 4

x x o3x5o

. . . . . | 120 |  1  1   4 |  1   4   4  2  2 |  4  2  2  2  2 1 |  2  2 1 1
----------+-----+-----------+------------------+------------------+----------
x . . . . |   2 | 60  *   * |  1   4   0  0  0 |  4  2  2  0  0 0 |  2  2 1 0
. x . . . |   2 |  * 60   * |  1   0   4  0  0 |  4  0  0  2  2 0 |  2  2 0 1
. . . x . |   2 |  *  * 240 |  0   1   1  1  1 |  1  1  1  1  1 1 |  1  1 1 1
----------+-----+-----------+------------------+------------------+----------
x x . . . |   4 |  2  2   0 | 30   *   *  *  * |  4  0  0  0  0 0 |  2  2 0 0
x . . x . |   4 |  2  0   2 |  * 120   *  *  * |  1  1  1  0  0 0 |  1  1 1 0
. x . x . |   4 |  0  2   2 |  *   * 120  *  * |  1  0  0  1  1 0 |  1  1 0 1
. . o3x . |   3 |  0  0   3 |  *   *   * 80  * |  0  1  0  1  0 1 |  1  0 1 1
. . . x5o |   5 |  0  0   5 |  *   *   *  * 48 |  0  0  1  0  1 1 |  0  1 1 1
----------+-----+-----------+------------------+------------------+----------
x x . x .    8 |  4  4   4 |  2   2   2  0  0 | 60  *  *  *  * * |  1  1 0 0
x . o3x .    6 |  3  0   6 |  0   3   0  2  0 |  * 40  *  *  * * |  1  0 1 0
x . . x5o   10 |  5  0  10 |  0   5   0  0  2 |  *  * 24  *  * * |  0  1 1 0
. x o3x .    6 |  0  3   6 |  0   0   3  2  0 |  *  *  * 40  * * |  1  0 0 1
. x . x5o   10 |  0  5  10 |  0   0   5  0  2 |  *  *  *  * 24 * |  0  1 0 1
. . o3x5o   30 |  0  0  60 |  0   0   0 20 12 |  *  *  *  *  * 4 |  0  0 1 1
----------+-----+-----------+------------------+------------------+----------
x x o3x .   12 |  6  6  12 |  3   6   6  4  0 |  3  2  0  2  0 0 | 20  * * *
x x . x5o   20 | 10 10  20 |  5  10  10  0  4 |  5  0  2  0  2 0 |  * 12 * *
x . o3x5o   60 | 30  0 120 |  0  60   0 40 24 |  0 20 12  0  0 2 |  *  * 2 *
. x o3x5o   60 |  0 30 120 |  0   0  60 40 24 |  0  0  0 20 12 2 |  *  * * 2

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