Acronym gaddadid, gad || did
Name great dodecahedron atop dodecadodecahedron,
great-dodecahedral cupola
Circumradius sqrt[(8+2 sqrt(5))/11] = 1.064815
Dihedral angles
  • at {5} between gad and pap:   arccos(-sqrt[(9-4 sqrt(5))/4]) = 96.778652°
  • at {5} between did and pap:   arccos(sqrt[(9-4 sqrt(5))/4]) = 83.221348°
  • at {5/2} between did and stappy:   arccos(sqrt[(9-4 sqrt(5))/4]) = 83.221348°
  • at {3} between pap and pap:   ...
  • at {3} between pap and stappy:   ...
Confer
orbiform relative:
sidrebcu  
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

xo5ox5/2oo&#x   → height = sqrt[(3 sqrt(5)-1)/8] = 0.844704
(gad || did)

o.5o.5/2o.    | 12  * |  5  5  0 |  5  5  5  0  0 | 1  5  1 0
.o5.o5/2.o    |  * 30 |  0  2  4 |  0  1  4  2  2 | 0  2  2 1
--------------+-------+----------+----------------+----------
x. ..   ..    |  2  0 | 30  *  * |  2  1  0  0  0 | 1  2  0 0
oo5oo5/2oo&#x |  1  1 |  * 60  * |  0  1  2  0  0 | 0  2  1 0
.. .x   ..    |  0  2 |  *  * 60 |  0  0  1  1  1 | 0  1  1 1
--------------+-------+----------+----------------+----------
x.5o.   ..    |  5  0 |  5  0  0 | 12  *  *  *  * | 1  1  0 0
xo ..   ..&#x |  2  1 |  1  2  0 |  * 30  *  *  * | 0  2  0 0
.. ox   ..&#x |  1  2 |  0  2  1 |  *  * 60  *  * | 0  1  1 0
.o5.x   ..    |  0  5 |  0  0  5 |  *  *  * 12  * | 0  1  0 1
.. .x5/2.o    |  0  5 |  0  0  5 |  *  *  *  * 12 | 0  0  1 1
--------------+-------+----------+----------------+----------
x.5o.5/2o.     12  0 | 30  0  0 | 12  0  0  0  0 | 1  *  * *
xo5ox   ..&#x   5  5 |  5 10  5 |  1  5  5  1  0 | * 12  * *
.. ox5/2oo&#x   1  5 |  0  5  5 |  0  0  5  0  1 | *  * 12 *
.o5.x5/2.o      0 30 |  0  0 60 |  0  0  0 12 12 | *  *  * 1

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