Acronym	gaquatiddip
Name	great-quasitruncated-icosidodecahedron prism
Circumradius	sqrt[8-3 sqrt(5)] = 1.136572
Dihedral angles	at {4} between cube and stiddip:   arccos(-sqrt[(5-sqrt(5))/10]) = 121.717474° at {4} between cube and gaquatid:   90° at {10/3} between gaquatid and stiddip:   90° at {6} between gaquatid and hip:   90° at {4} between hip and stiddip:   arccos(sqrt[(5-2 sqrt(5))/15]) = 79.187683° at {4} between cube and hip:   arccos(sqrt[(3-sqrt(5))/6]) = 69.094843°
Face vector	240, 480, 304, 64
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope gaquatiddip is isomorphic to griddip, thereby replacing decagrams by decagons, resp. replacing gaquatid by grid and stiddip by dip.

Incidence matrix according to Dynkin symbol

x x3x5/3x

. . .   . | 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
. x3x   . |   6 |   0   3   3   0 |  *  *  * 40  *  * |  1  0  0 1
. x .   x |   4 |   0   2   0   2 |  *  *  *  * 60  * |  0  1  0 1
. . x5/3x |  10 |   0   0   5   5 |  *  *  *  *  * 24 |  0  0  1 1
----------+-----+-----------------+-------------------+-----------
x x3x   . ♦  12 |   6   6   6   0 |  3  3  0  2  0  0 | 20  *  * *
x x .   x ♦   8 |   4   4   0   4 |  2  0  2  0  2  0 |  * 30  * *
x . x5/3x ♦  20 |  10   0  10  10 |  0  5  5  0  0  2 |  *  * 12 *
. x3x5/3x ♦ 120 |   0  60  60  60 |  0  0  0 20 30 12 |  *  *  * 2