Acronym gissidagid, gissid || gid
Name great stellated dodecahedron atop great icosidodecahedron,
great stellated dodecahedral cupola
Circumradius sqrt[(57+5 sqrt(5))/142] = 0.692924
Confer
general polytopal classes:
segmentochora  

As abstract polytope gissidagid is isomorphic to doaid, thereby replacing pentagrams by pentagons resp. replacing gissids by does, staps by paps, and gids by ids.


Incidence matrix according to Dynkin symbol

oo3ox5/2xo&#x   → height = sqrt[(15 sqrt(5)-29)/8] = 0.753411
(gissid || gid)

o.3o.5/2o.    | 20  * |  3  3  0 |  3  3  3  0  0 | 1  1  3 0
.o3.o5/2.o    |  * 30 |  0  2  4 |  0  4  1  2  2 | 0  2  2 1
--------------+-------+----------+----------------+----------
.. ..   x.    |  2  0 | 30  *  * |  2  0  1  0  0 | 1  0  2 0
oo3oo5/2oo&#x |  1  1 |  * 60  * |  0  2  1  0  0 | 0  1  2 0
.. .x   ..    |  0  2 |  *  * 60 |  0  1  0  1  1 | 0  1  1 1
--------------+-------+----------+----------------+----------
.. o.5/2x.    |  5  0 |  5  0  0 | 12  *  *  *  * | 1  0  1 0
.. ox   ..&#x |  1  2 |  0  2  1 |  * 60  *  *  * | 0  1  1 0
.. ..   xo&#x |  2  1 |  1  2  0 |  *  * 30  *  * | 0  0  2 0
.o3.x   ..    |  0  3 |  0  0  3 |  *  *  * 20  * | 0  1  0 1
.. .x5/2.o    |  0  5 |  0  0  5 |  *  *  *  * 12 | 0  0  1 1
--------------+-------+----------+----------------+----------
o.3o.5/2x.     20  0 | 30  0  0 | 12  0  0  0  0 | 1  *  * *
oo3ox   ..&#x   1  3 |  0  3  3 |  0  3  0  1  0 | * 20  * *
.. ox5/2xo&#x   5  5 |  5 10  5 |  1  5  5  0  1 | *  * 12 *
.o3.x5/2.o      0 30 |  0  0 60 |  0  0  0 20 12 | *  *  * 1

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