Acronym	giidip
Name	great-icosicosidodecahedron prism
Circumradius	sqrt[(19-3 sqrt(5))/8] = 1.239546
Colonel of regiment	gidditdiddip
Dihedral angles	at {6} between giid and hip:   90° at {5} between giid and pip:   90° at {3} between giid and trip:   90° at {4} between hip and pip:   arccos(sqrt[(5-2 sqrt(5))/15]) = 79.187683° at {4} between hip and trip:   arccos(sqrt(5)/3) = 41.810315°
Face vector	120, 300, 224, 54
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope giidip is isomorphic to siidip, thereby replacing pentagons by pentagrams, resp. replacing giid by siid and pip by stip.

Incidence matrix according to Dynkin symbol

x x5o3/2x3*b

. . .   .    | 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
. x5o   .    |   5 |  0   5   0 |  *  * 24  *  * |  1  0  0 1
. x .   x3*b |   6 |  0   3   3 |  *  *  * 40  * |  0  1  0 1
. . o3/2x    |   3 |  0   0   3 |  *  *  *  * 40 |  0  0  1 1
-------------+-----+------------+----------------+-----------
x x5o   .    ♦  10 |  5  10   0 |  5  0  2  0  0 | 12  *  * *
x x .   x3*b ♦  12 |  6   6   6 |  3  3  0  2  0 |  * 20  * *
x . o3/2x    ♦   6 |  3   0   6 |  0  3  0  0  2 |  *  * 20 *
. x5o3/2x3*b ♦  60 |  0  60  60 |  0  0 12 20 20 |  *  *  * 2

x x5/4o3x3*b

. .   . .    | 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
. x5/4o .    |   5 |  0   5   0 |  *  * 24  *  * |  1  0  0 1
. x   . x3*b |   6 |  0   3   3 |  *  *  * 40  * |  0  1  0 1
. .   o3x    |   3 |  0   0   3 |  *  *  *  * 40 |  0  0  1 1
-------------+-----+------------+----------------+-----------
x x5/4o .    ♦  10 |  5  10   0 |  5  0  2  0  0 | 12  *  * *
x x   . x3*b ♦  12 |  6   6   6 |  3  3  0  2  0 |  * 20  * *
x .   o3x    ♦   6 |  3   0   6 |  0  3  0  0  2 |  *  * 20 *
. x5/4o3x3*b ♦  60 |  0  60  60 |  0  0 12 20 20 |  *  *  * 2