Acronym radeda tigid, raded || tigid
Name rhombidodecadodecahedron atop truncated great dodecahedron
Circumradius sqrt([67+25 sqrt(5)]/22) = 2.363565
Face vector 120, 330, 258, 56
Confer
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

xx5ox5/2xo&#x   → height = sqrt[(5 sqrt(5)-9)/8] = 0.522056
(raded || tigid)

o.5o.5/2o.    | 60  * |  2  2   2  0  0 |  1  2  1  2  1  2  0  0 | 1  1  2  1 0
.o5.o5/2.o    |  * 60 |  0  0   2  1  2 |  0  0  0  2  2  1  2  1 | 0  2  1  1 1
--------------+-------+-----------------+-------------------------+-------------
x. ..   ..    |  2  0 | 60  *   *  *  * |  1  1  0  1  0  0  0  0 | 1  1  1  0 0
.. ..   x.    |  2  0 |  * 60   *  *  * |  0  1  1  0  0  1  0  0 | 1  0  1  1 0
oo5oo5/2oo&#x |  1  1 |  *  * 120  *  * |  0  0  0  1  1  1  0  0 | 0  1  1  1 0
.x ..   ..    |  0  2 |  *  *   * 30  * |  0  0  0  2  0  0  2  0 | 0  2  1  0 1
.. .x   ..    |  0  2 |  *  *   *  * 60 |  0  0  0  0  1  0  1  1 | 0  1  0  1 1
--------------+-------+-----------------+-------------------------+-------------
x.5o.   ..    |  5  0 |  5  0   0  0  0 | 12  *  *  *  *  *  *  * | 1  1  0  0 0
x. ..   x.    |  4  0 |  2  2   0  0  0 |  * 30  *  *  *  *  *  * | 1  0  1  0 0
.. o.5/2x.    |  5  0 |  0  5   0  0  0 |  *  * 12  *  *  *  *  * | 1  0  0  1 0
xx ..   ..&#x |  2  2 |  1  0   2  1  0 |  *  *  * 60  *  *  *  * | 0  1  1  0 0
.. ox   ..&#x |  1  2 |  0  0   2  0  1 |  *  *  *  * 60  *  *  * | 0  1  0  1 0
.. ..   xo&#x |  2  1 |  0  1   2  0  0 |  *  *  *  *  * 60  *  * | 0  0  1  1 0
.x5.x   ..    |  0 10 |  0  0   0  5  5 |  *  *  *  *  *  * 12  * | 0  1  0  0 1
.. .x5/2.o    |  0  5 |  0  0   0  0  5 |  *  *  *  *  *  *  * 12 | 0  0  0  1 1
--------------+-------+-----------------+-------------------------+-------------
x.5o.5/2x.     60  0 | 60 60   0  0  0 | 12 30 12  0  0  0  0  0 | 1  *  *  * *
xx5ox   ..&#x   5 10 |  5  0  10  5  5 |  1  0  0  5  5  0  1  0 | * 12  *  * *
xx ..   xo&#x   4  2 |  2  2   4  1  0 |  0  1  0  2  0  2  0  0 | *  * 30  * *
.. ox5/2xo&#x   5  5 |  0  5  10  0  5 |  0  0  1  0  5  5  0  1 | *  *  * 12 *
.x5.x5/2.o      0 60 |  0  0   0 30 60 |  0  0  0  0  0  0 12 12 | *  *  *  * 1

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