Acronym dida raded, did || raded
Name dodecadodecahedron atop rhombidodecadodecahedron
Circumradius sqrt([33+10 sqrt(5)]/31) = 1.336349
Confer
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

ox5xo5/2ox&#x   → height = sqrt[4 sqrt(5)-7]/2 = 0.697186
(did || raded)

o.5o.5/2o.    | 30  * |  4   4  0  0 |  2  2  2  4  2  0  0  0 | 1  2  1  2 0
.o5.o5/2.o    |  * 60 |  0   2  2  2 |  0  0  2  1  2  1  2  1 | 0  1  2  1 1
--------------+-------+--------------+-------------------------+-------------
.. x.   ..    |  2  0 | 60   *  *  * |  1  1  0  1  0  0  0  0 | 1  1  0  1 0
oo5oo5/2oo&#x |  1  1 |  * 120  *  * |  0  0  1  1  1  0  0  0 | 0  1  1  1 0
.x ..   ..    |  0  2 |  *   * 60  * |  0  0  1  0  0  1  1  0 | 0  1  1  0 1
.. ..   .x    |  0  2 |  *   *  * 60 |  0  0  0  0  1  0  1  1 | 0  0  1  1 1
--------------+-------+--------------+-------------------------+-------------
o.5x.   ..    |  5  0 |  5   0  0  0 | 12  *  *  *  *  *  *  * | 1  1  0  0 0
.. x.5/2o.    |  5  0 |  5   0  0  0 |  * 12  *  *  *  *  *  * | 1  0  0  1 0
ox ..   ..&#x |  1  2 |  0   2  1  0 |  *  * 60  *  *  *  *  * | 0  1  1  0 0
.. xo   ..&#x |  2  1 |  1   2  0  0 |  *  *  * 60  *  *  *  * | 0  1  0  1 0
.. ..   ox&#x |  1  2 |  0   2  0  1 |  *  *  *  * 60  *  *  * | 0  0  1  1 0
.x5.o   ..    |  0  5 |  0   0  5  0 |  *  *  *  *  * 12  *  * | 0  1  0  0 1
.x ..   .x    |  0  4 |  0   0  2  2 |  *  *  *  *  *  * 30  * | 0  0  1  0 1
.. .o5/2.x    |  0  5 |  0   0  0  5 |  *  *  *  *  *  *  * 12 | 0  0  0  1 1
--------------+-------+--------------+-------------------------+-------------
o.5x.5/2o.     30  0 | 60   0  0  0 | 12 12  0  0  0  0  0  0 | 1  *  *  * *
ox5xo   ..&#x   5  5 |  5  10  5  0 |  1  0  5  5  0  1  0  0 | * 12  *  * *
ox ..   ox&#x   1  4 |  0   4  2  2 |  0  0  2  0  2  0  1  0 | *  * 30  * *
.. xo5/2ox&#x   5  5 |  5  10  0  5 |  0  1  0  5  5  0  0  1 | *  *  * 12 *
.x5.o5/2.x      0 60 |  0   0 60 60 |  0  0  0  0  0 12 30 12 | *  *  *  * 1

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