Acronym diddatigid, did || tigid
Name dodecadodecahedron atop truncated great dodecahedron,
did-first cap of sirfix
Circumradius sqrt[10+4 sqrt(5)] = 4.352502
Face vector 90, 210, 138, 26
Confer
uniform relative:
sirfix  
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

ox5xx5/2oo&#x   → height = (sqrt(5)-1)/4 = 0.309017
(did || tigid)

o.5o.5/2o.    | 30  * |  4  2  0  0 |  2  2  1  4  0  0 | 1  2  2 0
.o5.o5/2.o    |  * 60 |  0  1  1  2 |  0  0  1  2  2  1 | 0  2  1 1
--------------+-------+-------------+-------------------+----------
.. x.   ..    |  2  0 | 60  *  *  * |  1  1  0  1  0  0 | 1  1  1 0
oo5oo5/2oo&#x |  1  1 |  * 60  *  * |  0  0  1  2  0  0 | 0  2  1 0
.x ..   ..    |  0  2 |  *  * 30  * |  0  0  1  0  2  0 | 0  2  0 1
.. .x   ..    |  0  2 |  *  *  * 60 |  0  0  0  1  1  1 | 0  1  1 1
--------------+-------+-------------+-------------------+----------
o.5x.   ..    |  5  0 |  5  0  0  0 | 12  *  *  *  *  * | 1  1  0 0
.. x.5/2o.    |  5  0 |  5  0  0  0 |  * 12  *  *  *  * | 1  0  1 0
ox ..   ..&#x |  1  2 |  0  2  1  0 |  *  * 30  *  *  * | 0  2  0 0
.. xx   ..&#x |  2  2 |  1  2  0  1 |  *  *  * 60  *  * | 0  1  1 0
.x5.x   ..    |  0 10 |  0  0  5  5 |  *  *  *  * 12  * | 0  1  0 1
.. .x5/2.o    |  0  5 |  0  0  0  5 |  *  *  *  *  * 12 | 0  0  1 1
--------------+-------+-------------+-------------------+----------
o.5x.5/2o.     30  0 | 60  0  0  0 | 12 12  0  0  0  0 | 1  *  * *
ox5xx   ..&#x   5 10 |  5 10  5  5 |  1  0  5  5  1  0 | * 12  * *
.. xx5/2oo&#x   5  5 |  5  5  0  5 |  0  1  0  5  0  1 | *  * 12 *
.x5.x5/2.o      0 60 |  0  0 30 60 |  0  0  0  0 12 12 | *  *  * 1

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