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°
Face vector	120, 240, 138, 26
Confer	general polytopal classes: Wythoffian polychora
External links

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