Acronym sissidaraded, sissid || raded
Name small stellated dodecahedron atop rhombidodecadodecahedron,
sissid-first cap of padohi
Circumradius sqrt[4+sqrt(5)] = 2.497212
Face vector 72, 210, 186, 56
Confer
uniform relative:
padohi  
general polytopal classes:
segmentochora  

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


Incidence matrix according to Dynkin symbol

ox5oo5/2xx&#x   → height = (sqrt(5)-1)/4 = 0.309017
(sissid || raded)

o.5o.5/2o.    | 12  * |  5  5  0  0 |  5  5 10  0  0  0 | 1  1  5  5 0
.o5.o5/2.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
oo5oo5/2oo&#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.5/2x.    |  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.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.5o.5/2x.     12  0 | 30  0  0  0 | 12  0  0  0  0  0 | 1  *  *  * *
ox5oo   ..&#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  * *
.. oo5/2xx&#x   5  5 |  5  5  0  5 |  1  0  5  0  0  1 | *  *  * 12 *
.x5.o5/2.x      0 60 |  0  0 60 60 |  0  0  0 12 30 12 | *  *  *  * 1

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