Acronym quitdiddip
Name quasitruncated-dodecadodecahedron prism
Cross sections
 ©
Circumradius sqrt(3) = 1.732051
Colonel of regiment (is itself locally convex – no other uniform polyhedral members)
Dihedral angles
  • at {4} between cube and stiddip:   arccos(-sqrt[(5+sqrt(5))/10]) = 148.282526°
  • at {4} between cube and quitdid:   90°
  • at {10} between dip and quitdid:   90°
  • at {10/3} between quitdid and stiddip:   90°
  • at {4} between dip and stiddip:   arccos(1/sqrt(5)) = 63.434949°
  • at {4} between cube and dip:   arccos(sqrt[(5-sqrt(5))/10]) = 58.282526°
Face vector 240, 480, 288, 56
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki

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


Incidence matrix according to Dynkin symbol

x x5/3x5x

. .   . . | 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   . x |   4 |   0   2   0   2 |  *  *  *  * 60  * |  0  1  0 1
. .   x5x |  10 |   0   0   5   5 |  *  *  *  *  * 24 |  0  0  1 1
----------+-----+-----------------+-------------------+-----------
x x5/3x .   20 |  10  10  10   0 |  5  5  0  2  0  0 | 12  *  * *
x x   . x    8 |   4   4   0   4 |  2  0  2  0  2  0 |  * 30  * *
x .   x5x   20 |  10   0  10  10 |  0  5  5  0  0  2 |  *  * 12 *
. x5/3x5x  120 |   0  60  60  60 |  0  0  0 12 30 12 |  *  *  * 2

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