Acronym radiddip (old: radedip)
Name rhombidodecadodecahedron prism
Circumradius sqrt(2) = 1.414214
Colonel of regiment (is itself locally convex – other uniform polyhedral members: ididdip   & others)
Dihedral angles
  • at {4} between cube and stip:   arccos(-sqrt[(5+sqrt(5))/10]) = 148.282526°
  • at {4} between cube and pip:   arccos(-sqrt[(5-sqrt(5))/10]) = 121.717474°
  • at {4} between cube and raded:   90°
  • at {5} between pip and raded:   90°
  • at {5/2} between stip and raded:   90°
Face vector 120, 300, 228, 56
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki

As abstract polytope radiddip is automorph, thereby interchanging the roles of pentagons and pentagrams, resp. those of pip and stip.


Incidence matrix according to Dynkin symbol

x x5/2o5x

. .   . . | 120 |  1   2   2 |  2  2  1  2  1 |  1  2  1 1
----------+-----+------------+----------------+-----------
x .   . . |   2 | 60   *   * |  2  2  0  0  0 |  1  2  1 0
. x   . . |   2 |  * 120   * |  1  0  1  1  0 |  1  1  0 1
. .   . x |   2 |  *   * 120 |  0  1  0  1  1 |  0  1  1 1
----------+-----+------------+----------------+-----------
x x   . . |   4 |  2   2   0 | 60  *  *  *  * |  1  1  0 0
x .   . x |   4 |  2   0   2 |  * 60  *  *  * |  0  1  1 0
. x5/2o . |   5 |  0   5   0 |  *  * 24  *  * |  1  0  0 1
. x   . x |   4 |  0   2   2 |  *  *  * 60  * |  0  1  0 1
. .   o5x |   5 |  0   0   5 |  *  *  *  * 24 |  0  0  1 1
----------+-----+------------+----------------+-----------
x x5/2o .   10 |  5  10   0 |  5  0  2  0  0 | 12  *  * *
x x   . x    8 |  4   4   4 |  2  2  0  2  0 |  * 30  * *
x .   o5x   10 |  5   0  10 |  0  5  0  0  2 |  *  * 12 *
. x5/2o5x   60 |  0  60  60 |  0  0 12 30 12 |  *  *  * 2

snubbed forms: β2x5/2o5β

x x5/3o5/4x

. .   .   . | 120 |  1   2   2 |  2  2  1  2  1 |  1  2  1 1
------------+-----+------------+----------------+-----------
x .   .   . |   2 | 60   *   * |  2  2  0  0  0 |  1  2  1 0
. x   .   . |   2 |  * 120   * |  1  0  1  1  0 |  1  1  0 1
. .   .   x |   2 |  *   * 120 |  0  1  0  1  1 |  0  1  1 1
------------+-----+------------+----------------+-----------
x x   .   . |   4 |  2   2   0 | 60  *  *  *  * |  1  1  0 0
x .   .   x |   4 |  2   0   2 |  * 60  *  *  * |  0  1  1 0
. x5/3o   . |   5 |  0   5   0 |  *  * 24  *  * |  1  0  0 1
. x   .   x |   4 |  0   2   2 |  *  *  * 60  * |  0  1  0 1
. .   o5/4x |   5 |  0   0   5 |  *  *  *  * 24 |  0  0  1 1
------------+-----+------------+----------------+-----------
x x5/3o   .   10 |  5  10   0 |  5  0  2  0  0 | 12  *  * *
x x   .   x    8 |  4   4   4 |  2  2  0  2  0 |  * 30  * *
x .   o5/4x   10 |  5   0  10 |  0  5  0  0  2 |  *  * 12 *
. x5/3o5/4x   60 |  0  60  60 |  0  0 12 30 12 |  *  *  * 2

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