Acronym peco
Name pentagon-cuboctahedron duoprism
Circumradius sqrt[(15+sqrt(5))/10] = 1.312862
Confer
more general:
n,co-dip  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x5o o3x4o

. . . . . | 60 |  2   4 |  1   8  2  2 |  4  4  4 1 | 2 2 2
----------+----+--------+--------------+------------+------
x . . . . |  2 | 60   * |  1   4  0  0 |  4  2  2 0 | 2 2 1
. . . x . |  2 |  * 120 |  0   2  1  1 |  1  2  2 1 | 1 1 2
----------+----+--------+--------------+------------+------
x5o . . . |  5 |  5   0 | 12   *  *  * |  4  0  0 0 | 2 2 0
x . . x . |  4 |  2   2 |  * 120  *  * |  1  1  1 0 | 1 1 1
. . o3x . |  3 |  0   3 |  *   * 40  * |  0  2  0 1 | 1 0 2
. . . x4o |  4 |  0   4 |  *   *  * 30 |  0  0  2 1 | 0 1 2
----------+----+--------+--------------+------------+------
x5o . x .  10 | 10   5 |  2   5  0  0 | 24  *  * * | 1 1 0
x . o3x .   6 |  3   6 |  0   3  2  0 |  * 40  * * | 1 0 1
x . . x4o   8 |  4   8 |  0   4  0  2 |  *  * 30 * | 0 1 1
. . o3x4o  12 |  0  24 |  0   0  8  6 |  *  *  * 5 | 0 0 2
----------+----+--------+--------------+------------+------
x5o o3x .  15 | 15  15 |  3  15  5  0 |  3  5  0 0 | 8 * *
x5o . x4o  20 | 20  20 |  4  20  0  5 |  4  0  5 0 | * 6 *
x . o3x4o  24 | 12  48 |  0  24 16 12 |  0  8  6 2 | * * 5

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