Acronym gaddaraded, gad || raded
Name great dodecahedron atop rhombidodecadodecahedron,
gad-first cap of quipdohi
Circumradius sqrt[4-sqrt(5)] = 1.328131
Confer
uniform relative:
quipdohi  
general polytopal classes:
segmentochora  

As abstract polytope gaddaraded is isomorphic to sissidaraded, thereby interchanging the roles of pentagrams and pentagons, resp. replacing gad by sissid, stappy by peppy, and pip by stip.


Incidence matrix according to Dynkin symbol

ox5/2oo5xx&#x   → height = (1+sqrt(5))/4 = 0.809017
(gad || raded)

o.5/2o.5o.    | 12  * |  5  5  0  0 |  5  5 10  0  0  0 | 1  1  5  5 0
.o5/2.o5.o    |  * 60 |  0  1  2  2 |  0  2  2  1  2  1 | 0  1  2  1 1
--------------+-------+-------------+-------------------+-------------
..   .. x.    |  2  0 | 30  *  *  * |  2  0  2  0  0  0 | 1  0  1  2 0
oo5/2oo5oo&#x |  1  1 |  * 60  *  * |  0  2  2  0  0  0 | 0  1  2  1 0
.x   .. ..    |  0  2 |  *  * 60  * |  0  1  0  1  1  0 | 0  1  1  0 1
..   .. .x    |  0  2 |  *  *  * 60 |  0  0  1  0  1  1 | 0  0  1  1 1
--------------+-------+-------------+-------------------+-------------
..   o.5x.    |  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
..   .. xx&#x |  2  2 |  1  2  0  1 |  *  * 60  *  *  * | 0  0  1  1 0
.x5/2.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.x    |  0  5 |  0  0  0  5 |  *  *  *  *  * 12 | 0  0  0  1 1
--------------+-------+-------------+-------------------+-------------
o.5/2o.5x.     12  0 | 30  0  0  0 | 12  0  0  0  0  0 | 1  *  *  * *
ox5/2oo ..&#x   1  5 |  0  5  5  0 |  0  5  0  1  0  0 | * 12  *  * *
ox   .. xx&#x   2  4 |  1  4  2  2 |  0  2  2  0  1  0 | *  * 30  * *
..   oo5xx&#x   5  5 |  5  5  0  5 |  1  0  5  0  0  1 | *  *  * 12 *
.x5/2.o5.x      0 60 |  0  0 60 60 |  0  0  0 12 30 12 | *  *  *  * 1

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