Acronym	qriddip
Name	quasi-rhombicosidodecahedron prism
Circumradius	sqrt[3-sqrt(5)] = 0.874032
Colonel of regiment	gaddiddip
Dihedral angles	at {4} between cube and qrid:   90° at {5/2} between qrid and stip:   90° at {3} between qrid and trip:   90° at {4} between cube and trip:   arccos((sqrt(5)-1)/sqrt(12)) = 69.094843° at {4} between cube and stip:   arccos(sqrt[(5-sqrt(5))/10]) = 58.282526°
Face vector	120, 300, 244, 64
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope qriddip is isomorphic to sriddip, thereby replacing retrograde pentagrams by prograde pentagons, resp. replacing qrid by srid and stip by pip.

Incidence matrix according to Dynkin symbol

x x3o5/3x

. . .   . | 120 |  1   2   2 |  2  2  1  2  1 |  1  2  1 1
----------+-----+------------+----------------+-----------
x . .   . |   2 | 60   *   * |  2  2  0  0  0 |  1  2  1 0
. x .   . |   2 |  * 120   * |  1  0  1  1  0 |  1  1  0 1
. . .   x |   2 |  *   * 120 |  0  1  0  1  1 |  0  1  1 1
----------+-----+------------+----------------+-----------
x x .   . |   4 |  2   2   0 | 60  *  *  *  * |  1  1  0 0
x . .   x |   4 |  2   0   2 |  * 60  *  *  * |  0  1  1 0
. x3o   . |   3 |  0   3   0 |  *  * 40  *  * |  1  0  0 1
. x .   x |   4 |  0   2   2 |  *  *  * 60  * |  0  1  0 1
. . o5/3x |   5 |  0   0   5 |  *  *  *  * 24 |  0  0  1 1
----------+-----+------------+----------------+-----------
x x3o   . ♦   6 |  3   6   0 |  3  0  2  0  0 | 20  *  * *
x x .   x ♦   8 |  4   4   4 |  2  2  0  2  0 |  * 30  * *
x . o5/3x ♦  10 |  5   0  10 |  0  5  0  0  2 |  *  * 12 *
. x3o5/3x ♦  60 |  0  60  60 |  0  0 20 30 12 |  *  *  * 2

x x3/2o5/2x

. .   .   . | 120 |  1   2   2 |  2  2  1  2  1 |  1  2  1 1
------------+-----+------------+----------------+-----------
x .   .   . |   2 | 60   *   * |  2  2  0  0  0 |  1  2  1 0
. x   .   . |   2 |  * 120   * |  1  0  1  1  0 |  1  1  0 1
. .   .   x |   2 |  *   * 120 |  0  1  0  1  1 |  0  1  1 1
------------+-----+------------+----------------+-----------
x x   .   . |   4 |  2   2   0 | 60  *  *  *  * |  1  1  0 0
x .   .   x |   4 |  2   0   2 |  * 60  *  *  * |  0  1  1 0
. x3/2o   . |   3 |  0   3   0 |  *  * 40  *  * |  1  0  0 1
. x   .   x |   4 |  0   2   2 |  *  *  * 60  * |  0  1  0 1
. .   o5/2x |   5 |  0   0   5 |  *  *  *  * 24 |  0  0  1 1
------------+-----+------------+----------------+-----------
x x3/2o   . ♦   6 |  3   6   0 |  3  0  2  0  0 | 20  *  * *
x x   .   x ♦   8 |  4   4   4 |  2  2  0  2  0 |  * 30  * *
x .   o5/2x ♦  10 |  5   0  10 |  0  5  0  0  2 |  *  * 12 *
. x3/2o5/2x ♦  60 |  0  60  60 |  0  0 20 30 12 |  *  *  * 2

xx3oo5/3xx&#x   → height = 1
(qrid || qrid)

o.3o.5/3o.    | 60  * |  2  2  1  0  0 |  1  2  1  2  2  0  0  0 | 1  1  2  1 0
.o3.o5/3.o    |  * 60 |  0  0  1  2  2 |  0  0  0  2  2  1  2  1 | 0  1  2  1 1
--------------+-------+----------------+-------------------------+-------------
x. ..   ..    |  2  0 | 60  *  *  *  * |  1  1  0  1  0  0  0  0 | 1  1  1  0 0
.. ..   x.    |  2  0 |  * 60  *  *  * |  0  1  1  0  1  0  0  0 | 1  0  1  1 0
oo3oo5/3oo&#x |  1  1 |  *  * 60  *  * |  0  0  0  2  2  0  0  0 | 0  1  2  1 0
.x ..   ..    |  0  2 |  *  *  * 60  * |  0  0  0  1  0  1  1  0 | 0  1  1  0 1
.. ..   .x    |  0  2 |  *  *  *  * 60 |  0  0  0  0  1  0  1  1 | 0  0  1  1 1
--------------+-------+----------------+-------------------------+-------------
x.3o.   ..    |  3  0 |  3  0  0  0  0 | 20  *  *  *  *  *  *  * | 1  1  0  0 0
x. ..   x.    |  4  0 |  2  2  0  0  0 |  * 30  *  *  *  *  *  * | 1  0  1  0 0
.. o.5/3x.    |  5  0 |  0  5  0  0  0 |  *  * 12  *  *  *  *  * | 1  0  0  1 0
xx ..   ..&#x |  2  2 |  1  0  2  1  0 |  *  *  * 60  *  *  *  * | 0  1  1  0 0
.. ..   xx&#x |  2  2 |  0  1  2  0  1 |  *  *  *  * 60  *  *  * | 0  0  1  1 0
.x3.o   ..    |  0  3 |  0  0  0  3  0 |  *  *  *  *  * 20  *  * | 0  1  0  0 1
.x ..   .x    |  0  4 |  0  0  0  2  2 |  *  *  *  *  *  * 30  * | 0  0  1  0 1
.. .o5/3.x    |  0  5 |  0  0  0  0  5 |  *  *  *  *  *  *  * 12 | 0  0  0  1 1
--------------+-------+----------------+-------------------------+-------------
x.3o.5/3x.    ♦ 60  0 | 60 60  0  0  0 | 20 30 12  0  0  0  0  0 | 1  *  *  * *
xx3oo   ..&#x ♦  3  3 |  3  0  3  3  0 |  1  0  0  3  0  1  0  0 | * 20  *  * *
xx ..   xx&#x ♦  4  4 |  2  2  4  2  2 |  0  1  0  2  2  0  1  0 | *  * 30  * *
.. oo5/3xx&#x ♦  5  5 |  0  5  5  0  5 |  0  0  1  0  5  0  0  1 | *  *  * 12 *
.x3.o5/3.x    ♦  0 24 |  0  0  0 24 24 |  0  0  0  0  0 20 30 12 | *  *  *  * 1