Acronym	ididdip
Name	icosidodecadodecahedron prism
Circumradius	sqrt(2) = 1.414214
Colonel of regiment	radiddip
Dihedral angles	at {4} between hip and pip:   arccos(-sqrt[(5-2 sqrt(5))/15]) = 100.812317° at {4} between hip and raded:   90° at {5} between pip and raded:   90° at {5/2} between stip and raded:   90° at {4} between hip and stip:   arccos(sqrt[(5+2 sqrt(5))/15]) = 37.377368°
Face vector	120, 300, 208, 46
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope ididdip is automorph, thereby interchanging the roles of (prograde) pentagons and (retrograde) pentagrams, resp. those of pip and stip.

Incidence matrix according to Dynkin symbol

x o5/3x3x5*b

. .   . .    | 120 |  1   2   2 |  2  2  1  1  2 |  1  1  2 1
-------------+-----+------------+----------------+-----------
x .   . .    |   2 | 60   *   * |  2  2  0  0  0 |  1  1  1 0
. .   x .    |   2 |  * 120   * |  1  0  1  0  1 |  1  0  1 1
. .   . x    |   2 |  *   * 120 |  0  1  0  1  1 |  0  1  1 1
-------------+-----+------------+----------------+-----------
x .   x .    |   4 |  2   2   0 | 60  *  *  *  * |  1  0  1 0
x .   . x    |   4 |  2   0   2 |  * 60  *  *  * |  0  1  1 0
. o5/3x .    |   5 |  0   5   0 |  *  * 24  *  * |  1  0  0 1
. o   . x5*b |   5 |  0   0   5 |  *  *  * 24  * |  0  1  0 1
. .   x3x    |   6 |  0   3   3 |  *  *  *  * 40 |  0  0  1 1
-------------+-----+------------+----------------+-----------
x o5/3x .    ♦  10 |  5  10   0 |  5  0  2  0  0 | 12  *  * *
x o   . x5*b ♦  10 |  5   0  10 |  0  5  0  2  0 |  * 12  * *
x .   x3x    ♦  12 |  6   6   6 |  3  3  0  0  2 |  *  * 20 *
. o5/3x3x5*b ♦  60 |  0  60  60 |  0  0 12 12 20 |  *  *  * 2

x o5/2x3x5/4*b

. .   . .      | 120 |  1   2   2 |  2  2  1  1  2 |  1  1  2 1
---------------+-----+------------+----------------+-----------
x .   . .      |   2 | 60   *   * |  2  2  0  0  0 |  1  1  1 0
. .   x .      |   2 |  * 120   * |  1  0  1  0  1 |  1  0  1 1
. .   . x      |   2 |  *   * 120 |  0  1  0  1  1 |  0  1  1 1
---------------+-----+------------+----------------+-----------
x .   x .      |   4 |  2   2   0 | 60  *  *  *  * |  1  0  1 0
x .   . x      |   4 |  2   0   2 |  * 60  *  *  * |  0  1  1 0
. o5/2x .      |   5 |  0   5   0 |  *  * 24  *  * |  1  0  0 1
. o   . x5/4*b |   5 |  0   0   5 |  *  *  * 24  * |  0  1  0 1
. .   x3x      |   6 |  0   3   3 |  *  *  *  * 40 |  0  0  1 1
---------------+-----+------------+----------------+-----------
x o5/2x .      ♦  10 |  5  10   0 |  5  0  2  0  0 | 12  *  * *
x o   . x5/4*b ♦  10 |  5   0  10 |  0  5  0  2  0 |  * 12  * *
x .   x3x      ♦  12 |  6   6   6 |  3  3  0  0  2 |  *  * 20 *
. o5/2x3x5/4*b ♦  60 |  0  60  60 |  0  0 12 12 20 |  *  *  * 2