Acronym raded adoe
Name rhombidodecadodecahedron atop dodecahedron
 
 ©
Circumradius sqrt[(25+9 sqrt(5))/22] = 1.432173
Face vector 80, 240, 126, 56
Confer
Grünbaumian relatives:
raded || 3doe  
general polytopal classes:
segmentochora  
External
links
polytopewiki

This non-convex segmentochoron can be obtained as a reduction of ox5xo5/2xx&#x, i.e. when the base o5x5/2x (3doe) becomes reduced to a single cover only.


Incidence matrix according to Dynkin symbol

reduced( ox5xo5/2xx&#x by x5/2x )   → height = sqrt[(3 sqrt(5)-1)/8] = 0.844704
(doe || raded)

20  * |  3   6  0  0 |  3  6  6  3  0  0  0 | 1  3  3  3 0
 * 60 |  0   2  2  2 |  0  2  1  2  1  2  1 | 0  1  2  1 1
------+--------------+----------------------+-------------
 2  0 | 30   *  *  * |  2  2  2  0  0  0  0 | 1  2  1  2 0
 1  1 |  * 120  *  * |  0  1  1  1  0  0  0 | 0  1  1  1 0
 0  2 |  *   * 60  * |  0  0  0  1  1  1  0 | 0  1  1  0 1
 0  2 |  *   *  * 60 |  0  1  0  0  0  1  1 | 0  0  1  1 1
------+--------------+----------------------+-------------
 5  0 |  5   0  0  0 | 12  *  *  *  *  *  * | 1  1  0  0 0
 2  2 |  1   2  0  1 |  * 60  *  *  *  *  * | 0  0  1  1 0
 2  1 |  1   2  0  0 |  *  * 60  *  *  *  * | 0  1  0  1 0
 1  2 |  0   2  1  0 |  *  *  * 60  *  *  * | 0  1  1  0 0
 0  5 |  0   0  5  0 |  *  *  *  * 12  *  * | 0  1  0  0 1  {5}
 0  4 |  0   0  2  2 |  *  *  *  *  * 30  * | 0  0  1  0 1
 0  5 |  0   0  0  5 |  *  *  *  *  *  * 12 | 0  0  0  1 1  {5/2}
------+--------------+----------------------+-------------
20  0 | 30   0  0  0 | 12  0  0  0  0  0  0 | 1  *  *  * *  doe
 5  5 |  5  10  5  0 |  1  0  5  5  1  0  0 | * 12  *  * *  pap
 2  4 |  1   4  2  2 |  0  2  0  2  0  1  0 | *  * 30  * *  trip
 5  5 |  5  10  0  5 |  0  5  5  0  0  0  1 | *  *  * 12 *  stiscu
 0 60 |  0   0 60 60 |  0  0  0  0 12 30 12 | *  *  *  * 1  raded

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