Acronym pedoe
Name pentagon-dodecahedron duoprism
Circumradius sqrt[(65+19 sqrt(5))/40] = 1.639247

Incidence matrix according to Dynkin symbol

x5o o3o5x

. . . . . | 100 |   2   3 |  1   6  3 |  3  6 1 |  3 2
----------+-----+---------+-----------+---------+-----
x . . . . |   2 | 100   * |  1   3  0 |  3  3 0 |  3 1
. . . . x |   2 |   * 150 |  0   2  2 |  1  4 1 |  2 2
----------+-----+---------+-----------+---------+-----
x5o . . . |   5 |   5   0 | 20   *  * |  3  0 0 |  3 0
x . . . x |   4 |   2   2 |  * 150  * |  1  2 0 |  2 1
. . . o5x |   5 |   0   5 |  *   * 60 |  0  2 1 |  1 2
----------+-----+---------+-----------+---------+-----
x5o . . x   10 |  10   5 |  2   5  0 | 30  * * |  2 0
x . . o5x   10 |   5  10 |  0   5  2 |  * 60 * |  1 1
. . o3o5x   20 |   0  30 |  0   0 12 |  *  * 5 |  0 2
----------+-----+---------+-----------+---------+-----
x5o . o5x   25 |  25  25 |  5  25  5 |  5  5 0 | 12 *
x . o3o5x   40 |  20  60 |  0  30 24 |  0 12 2 |  * 5

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