Acronym quitdiddip
Name quasitruncated-dodecadodecahedron prism
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°
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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