Acronym tigiddip
Name truncated-great-dodecahedron prism
Circumradius sqrt[(19+5 sqrt(5))/8] = 1.942303
Colonel of regiment (is itself locally convex – no other uniform polyhedral members)
Dihedral angles
  • at {4} between dip and stip:   arccos(-1/sqrt(5)) = 116.565051°
  • at {10} between dip and tigid:   90°
  • at {5/2} between stip and tigid:   90°
  • at {4} between dip and dip:   arccos(1/sqrt(5)) = 63.434949°
External
links
hedrondude  

As abstract polytope tigiddip is isomorphic to quit sissiddip, thereby replacing pentagrams by pentagons and decagons by decagrams, resp replacing tigid by quit sissid, stip by pip, and dip by stiddip.


Incidence matrix according to Dynkin symbol

x o5/2x5x

. .   . . | 120 |  1   2  1 |  2  1  1  2 |  1  2 1
----------+-----+-----------+-------------+--------
x .   . . |   2 | 60   *  * |  2  1  0  0 |  1  2 0
. .   x . |   2 |  * 120  * |  1  0  1  1 |  1  1 1
. .   . x |   2 |  *   * 60 |  0  1  0  2 |  0  2 1
----------+-----+-----------+-------------+--------
x .   x . |   4 |  2   2  0 | 60  *  *  * |  1  1 0
x .   . x |   4 |  2   0  2 |  * 30  *  * |  0  2 0
. o5/2x . |   5 |  0   5  0 |  *  * 24  * |  1  0 1
. .   x5x |  10 |  0   5  5 |  *  *  * 24 |  0  1 1
----------+-----+-----------+-------------+--------
x o5/2x .   10 |  5  10  0 |  5  0  2  0 | 12  * *
x .   x5x   20 | 10  10 10 |  5  5  0  2 |  * 12 *
. o5/2x5x   60 |  0  60 30 |  0  0 12 12 |  *  * 2

x o5/3x5x

. .   . . | 120 |  1   2  1 |  2  1  1  2 |  1  2 1
----------+-----+-----------+-------------+--------
x .   . . |   2 | 60   *  * |  2  1  0  0 |  1  2 0
. .   x . |   2 |  * 120  * |  1  0  1  1 |  1  1 1
. .   . x |   2 |  *   * 60 |  0  1  0  2 |  0  2 1
----------+-----+-----------+-------------+--------
x .   x . |   4 |  2   2  0 | 60  *  *  * |  1  1 0
x .   . x |   4 |  2   0  2 |  * 30  *  * |  0  2 0
. o5/3x . |   5 |  0   5  0 |  *  * 24  * |  1  0 1
. .   x5x |  10 |  0   5  5 |  *  *  * 24 |  0  1 1
----------+-----+-----------+-------------+--------
x o5/3x .   10 |  5  10  0 |  5  0  2  0 | 12  * *
x .   x5x   20 | 10  10 10 |  5  5  0  2 |  * 12 *
. o5/3x5x   60 |  0  60 30 |  0  0 12 12 |  *  * 2

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