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°
External
links
hedrondude  

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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