Acronym gissidagike, gissid || gike
Name great stellated dodecahedron atop great icosahedron
Circumradius sqrt[(25+sqrt(5))/62) = 0.662791
Confer
general polytopal classes:
segmentochora  

As abstract polytope gissidagike is isomorphic to ikadoe, thereby replacing pentagrams by pentagons resp. replacing gissids by does, gikes by ikes, and stappies by peppies.


Incidence matrix according to Dynkin symbol

xo3oo5/2ox&#x   → height = sqrt[4 sqrt(5)-7]/2 = 0.697186
(gissid || gike)

o.3o.5/2o.    | 12  * |  5  5  0 |  5 10  5  0 | 1  5  5  1 0
.o3.o5/2.o    |  * 20 |  0  3  3 |  0  3  6  3 | 0  1  3  3 1
--------------+-------+----------+-------------+-------------
x. ..   ..    |  2  0 | 30  *  * |  2  2  0  0 | 1  2  1  0 0
oo3oo5/2oo&#x |  1  1 |  * 60  * |  0  2  2  0 | 0  1  2  1 0
.. ..   .x    |  0  2 |  *  * 30 |  0  0  2  2 | 0  0  1  2 1
--------------+-------+----------+-------------+-------------
x.3o.   ..    |  3  0 |  3  0  0 | 20  *  *  * | 1  1  0  0 0
xo ..   ..&#x |  2  1 |  1  2  0 |  * 60  *  * | 0  1  1  0 0
.. ..   ox&#x |  1  2 |  0  2  1 |  *  * 60  * | 0  0  1  1 0
.. .o5/2.x    |  0  5 |  0  0  5 |  *  *  * 12 | 0  0  0  1 1
--------------+-------+----------+-------------+-------------
x.3o.5/2o.     12  0 | 30  0  0 | 20  0  0  0 | 1  *  *  * *
xo3oo   ..&#x   3  1 |  3  3  0 |  1  3  0  0 | * 20  *  * *
xo ..   ox&#x   2  2 |  1  4  1 |  0  2  2  0 | *  * 30  * *
.. oo5/2ox&#x   1  5 |  0  5  5 |  0  0  5  1 | *  *  * 12 *
.o3.o5/2.x      0 20 |  0  0 30 |  0  0  0 12 | *  *  *  * 1

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