Acronym	quit gissiddip
Name	quasitruncated-great-stellated-dodecahedron prism
Circumradius	sqrt[(39-15 sqrt(5))/8] = 0.826058
Dihedral angles	at {10/3} between quit gissid and stiddip:   90° at {3} between quit gissid and trip:   90° at {4} between stiddip and trip:   arccos(arccos(sqrt[(5-2 sqrt(5))/15]) = 79.187683° at {4} between stiddip and stiddip:   arccos(1/sqrt(5)) = 63.434949°
Face vector	120, 240, 144, 34
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope quit gissiddip is isomorphic to tiddip, thereby replacing decagrams by decagons, resp. replacing quit gissid by tid and stiddip by dip.

Incidence matrix according to Dynkin symbol

x o3x5/3x

. . .   . | 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
. o3x   . |   3 |  0   3  0 |  *  * 40  * |  1  0 1
. . x5/3x |  10 |  0   5  5 |  *  *  * 24 |  0  1 1
----------+-----+-----------+-------------+--------
x o3x   . ♦   6 |  3   6  0 |  3  0  2  0 | 20  * *
x . x5/3x ♦  20 | 10  10 10 |  5  5  0  2 |  * 12 *
. o3x5/3x ♦  60 |  0  60 30 |  0  0 20 12 |  *  * 2

x o3/2x5/3x

. .   .   . | 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
. o3/2x   . |   3 |  0   3  0 |  *  * 40  * |  1  0 1
. .   x5/3x |  10 |  0   5  5 |  *  *  * 24 |  0  1 1
------------+-----+-----------+-------------+--------
x o3/2x   . ♦   6 |  3   6  0 |  3  0  2  0 | 20  * *
x .   x5/3x ♦  20 | 10  10 10 |  5  5  0  2 |  * 12 *
. o3/2x5/3x ♦  60 |  0  60 30 |  0  0 20 12 |  *  * 2

oo3xx5/3xx&#x   → height = 1
(quit gissid || quit gissid)

o.3o.5/3o.    | 60  * |  2  1  1  0  0 |  1  2  2  1  0  0 | 1  1  2 0
.o3.o5/3.o    |  * 60 |  0  0  1  2  1 |  0  0  2  1  1  2 | 0  1  2 1
--------------+-------+----------------+-------------------+----------
.. x.   ..    |  2  0 | 60  *  *  *  * |  1  1  1  0  0  0 | 1  1  1 0
.. ..   x.    |  2  0 |  * 30  *  *  * |  0  2  0  1  0  0 | 1  0  2 0
oo3oo5/3oo&#x |  1  1 |  *  * 60  *  * |  0  0  2  1  0  0 | 0  1  2 0
.. .x   ..    |  0  2 |  *  *  * 60  * |  0  0  1  0  1  1 | 0  1  1 1
.. ..   .x    |  0  2 |  *  *  *  * 30 |  0  0  0  1  0  2 | 0  0  2 1
--------------+-------+----------------+-------------------+----------
o.3x.   ..    |  3  0 |  3  0  0  0  0 | 20  *  *  *  *  * | 1  1  0 0
.. x.5/3x.    | 10  0 |  5  5  0  0  0 |  * 12  *  *  *  * | 1  0  1 0
.. xx   ..&#x |  2  2 |  1  0  2  1  0 |  *  * 60  *  *  * | 0  1  1 0
.. ..   xx&#x |  2  2 |  0  1  2  0  1 |  *  *  * 30  *  * | 0  0  2 0
.o3.x   ..    |  0  3 |  0  0  0  3  0 |  *  *  *  * 20  * | 0  1  0 1
.. .x5/3.x    |  0 10 |  0  0  0  5  5 |  *  *  *  *  * 12 | 0  0  1 1
--------------+-------+----------------+-------------------+----------
o.3x.5/3x.    ♦ 60  0 | 60 30  0  0  0 | 20 12  0  0  0  0 | 1  *  * *
oo3xx   ..&#x ♦  3  3 |  3  0  3  3  0 |  1  0  3  0  1  0 | * 20  * *
.. xx5/3xx&#x ♦ 10 10 |  5  5 10  5  5 |  0  1  5  5  0  1 | *  * 12 *
.o3.x5/3.x    ♦  0 60 |  0  0  0 60 30 |  0  0  0  0 20 12 | *  *  * 1