Acronym idtiddip
Name icosidodecatruncated-icosidodecahedron prism, icositruncated-dodecadodecahedron prism
Circumradius sqrt(17)/2 = 2.061553
Colonel of regiment (is itself locally convex – no other uniform polyhedral members)
Dihedral angles
  • at {4} between hip and stiddip:   arccos(-sqrt[(5+2 sqrt(5))/15]) = 142.622632°
  • at {4} between dip and stiddip:   arccos(-1/sqrt(5)) = 116.565051°
  • at {4} between dip and hip:   arccos(-sqrt[(5-2 sqrt(5))/15]) = 100.812317°
  • at {10} between dip and idtid:   90°
  • at {6} between hip and idtid:   90°
  • at {10/3} between idtid and stiddip:   90°
Face vector 240, 480, 268, 46
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki  

As abstract polytope idtiddip is automorph, thereby interchanging the roles of decagons and decagrams, resp. those of dip and stiddip.


Incidence matrix according to Dynkin symbol

x x5/3x3x5*b

. .   . .    | 240 |   1   1   1   1 |  1  1  1  1  1  1 |  1  1  1 1
-------------+-----+-----------------+-------------------+-----------
x .   . .    |   2 | 120   *   *   * |  1  1  1  0  0  0 |  1  1  1 0
. x   . .    |   2 |   * 120   *   * |  1  0  0  1  1  0 |  1  1  0 1
. .   x .    |   2 |   *   * 120   * |  0  1  0  1  0  1 |  1  0  1 1
. .   . x    |   2 |   *   *   * 120 |  0  0  1  0  1  1 |  0  1  1 1
-------------+-----+-----------------+-------------------+-----------
x x   . .    |   4 |   2   2   0   0 | 60  *  *  *  *  * |  1  1  0 0
x .   x .    |   4 |   2   0   2   0 |  * 60  *  *  *  * |  1  0  1 0
x .   . x    |   4 |   2   0   0   2 |  *  * 60  *  *  * |  0  1  1 0
. x5/3x .    |  10 |   0   5   5   0 |  *  *  * 24  *  * |  1  0  0 1
. x   . x5*b |  10 |   0   5   0   5 |  *  *  *  * 24  * |  0  1  0 1
. .   x3x    |   6 |   0   0   3   3 |  *  *  *  *  * 40 |  0  0  1 1
-------------+-----+-----------------+-------------------+-----------
x x5/3x .      20 |  10  10  10   0 |  5  5  0  2  0  0 | 12  *  * *
x x   . x5*b   20 |  10  10   0  10 |  5  0  5  0  2  0 |  * 12  * *
x .   x3x      12 |   6   0   6   6 |  0  3  3  0  0  2 |  *  * 20 *
. x5/3x3x5*b  120 |   0  60  60  60 |  0  0  0 12 12 20 |  *  *  * 2

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