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°
External
links
hedrondude  

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

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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