Acronym	gidtiddip
Name	great-ditrigonary-icosidodecahedron prism
Cross sections	©
Circumradius	1
Colonel of regiment	sidtiddip
Dihedral angles	at {5} between gidtid and pip:   90° at {3} between gidtid and trip:   90° at {4} between pip and trip:   arccos(sqrt[(5-2 sqrt(5))/15]) = 79.187683°
Face vector	40, 140, 124, 34
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope gidtiddip is isomorphic to sidtiddip, thereby replacing pentagons by pentagrams, resp. replacing pip by stip and gidtid by sidtid.

Incidence matrix according to Dynkin symbol

x x5o3o3/2*b

. . . .      | 40 |  1   6 |  6  3  3 |  3  3 1
-------------+----+--------+----------+--------
x . . .      |  2 | 20   * |  6  0  0 |  3  3 0
. x . .      |  2 |  * 120 |  1  1  1 |  1  1 1
-------------+----+--------+----------+--------
x x . .      |  4 |  2   2 | 60  *  * |  1  1 0
. x5o .      |  5 |  0   5 |  * 24  * |  1  0 1
. x . o3/2*b |  3 |  0   3 |  *  * 40 |  0  1 1
-------------+----+--------+----------+--------
x x5o .      ♦ 10 |  5  10 |  5  2  0 | 12  * *
x x . o3/2*b ♦  6 |  3   6 |  3  0  2 |  * 20 *
. x5o3o3/2*b ♦ 20 |  0  60 |  0 12 20 |  *  * 2

x x5o3/2o3*b

. . .   .    | 40 |  1   6 |  6  3  3 |  3  3 1
-------------+----+--------+----------+--------
x . .   .    |  2 | 20   * |  6  0  0 |  3  3 0
. x .   .    |  2 |  * 120 |  1  1  1 |  1  1 1
-------------+----+--------+----------+--------
x x .   .    |  4 |  2   2 | 60  *  * |  1  1 0
. x5o   .    |  5 |  0   5 |  * 24  * |  1  0 1
. x .   o3*b |  3 |  0   3 |  *  * 40 |  0  1 1
-------------+----+--------+----------+--------
x x5o   .    ♦ 10 |  5  10 |  5  2  0 | 12  * *
x x .   o3*b ♦  6 |  3   6 |  3  0  2 |  * 20 *
. x5o3/2o3*b ♦ 20 |  0  60 |  0 12 20 |  *  * 2

x x5/4o3o3*b

. .   . .    | 40 |  1   6 |  6  3  3 |  3  3 1
-------------+----+--------+----------+--------
x .   . .    |  2 | 20   * |  6  0  0 |  3  3 0
. x   . .    |  2 |  * 120 |  1  1  1 |  1  1 1
-------------+----+--------+----------+--------
x x   . .    |  4 |  2   2 | 60  *  * |  1  1 0
. x5/4o .    |  5 |  0   5 |  * 24  * |  1  0 1
. x   . o3*b |  3 |  0   3 |  *  * 40 |  0  1 1
-------------+----+--------+----------+--------
x x5/4o .    ♦ 10 |  5  10 |  5  2  0 | 12  * *
x x   . o3*b ♦  6 |  3   6 |  3  0  2 |  * 20 *
. x5/4o3o3*b ♦ 20 |  0  60 |  0 12 20 |  *  * 2

x x5/4o3/2o3/2*b

. .   .   .      | 40 |  1   6 |  6  3  3 |  3  3 1
-----------------+----+--------+----------+--------
x .   .   .      |  2 | 20   * |  6  0  0 |  3  3 0
. x   .   .      |  2 |  * 120 |  1  1  1 |  1  1 1
-----------------+----+--------+----------+--------
x x   .   .      |  4 |  2   2 | 60  *  * |  1  1 0
. x5/4o   .      |  5 |  0   5 |  * 24  * |  1  0 1
. x   .   o3/2*b |  3 |  0   3 |  *  * 40 |  0  1 1
-----------------+----+--------+----------+--------
x x5/4o   .      ♦ 10 |  5  10 |  5  2  0 | 12  * *
x x   .   o3/2*b ♦  6 |  3   6 |  3  0  2 |  * 20 *
. x5/4o3/2o3/2*b ♦ 20 |  0  60 |  0 12 20 |  *  * 2