Acronym pid
Name pentagon - icosidodecahedron duoprism
Circumradius sqrt[(10+3 sqrt(5))/5] = 1.828016
Confer n,id-dip  

Incidence matrix according to Dynkin symbol

x5o o3x5o

. . . . . | 150 |   2   4 |  1   8   2  2 |  4   4  4 1 |  2  2 2
----------+-----+---------+---------------+-------------+--------
x . . . . |   2 | 150   * |  1   4   0  0 |  4   2  2 0 |  2  2 1
. . . x . |   2 |   * 300 |  0   2   1  1 |  1   2  2 1 |  1  1 2
----------+-----+---------+---------------+-------------+--------
x5o . . . |   5 |   5   0 | 30   *   *  * |  4   0  0 0 |  2  2 0
x . . x . |   4 |   2   2 |  * 300   *  * |  1   1  1 0 |  1  1 1
. . o3x . |   3 |   0   3 |  *   * 100  * |  0   2  0 1 |  1  0 2
. . . x5o |   5 |   0   5 |  *   *   * 60 |  0   0  2 1 |  0  1 2
----------+-----+---------+---------------+-------------+--------
x5o . x .   10 |  10   5 |  2   5   0  0 | 60   *  * * |  1  1 0
x . o3x .    6 |   3   6 |  0   3   2  0 |  * 100  * * |  1  0 1
x . . x5o   10 |   5  10 |  0   5   0  2 |  *   * 60 * |  0  1 1
. . o3x5o   30 |   0  60 |  0   0  20 12 |  *   *  * 5 |  0  0 2
----------+-----+---------+---------------+-------------+--------
x5o o3x .   15 |  15  15 |  3  15   5  0 |  3   5  0 0 | 20  * *
x5o . x5o   25 |  25  25 |  5  25   0  5 |  5   0  5 0 |  * 12 *
x . o3x5o   60 |  30 120 |  0  60  40 24 |  0  20 12 2 |  *  * 5

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