Acronym	saddiddip
Name	small-dodekicosidodecahedron prism
Cross sections	©
Circumradius	sqrt[3+sqrt(5)] = 2.288246
General of army	sriddip
Colonel of regiment	sriddip
Dihedral angles	at {4} between dip and pip:   arccos(-1/sqrt(5)) = 116.565051° at {10} between dip and saddid:   90° at {5} between pip and saddid:   90° at {3} between saddid and trip:   90° at {4} between dip and trip:   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 saddiddip is isomorphic to gaddiddip, thereby replacing retrograde pentagons and decagons respectively by pentagrams and decagrams, resp. replacing saddid by gaddid, pip by stip, and dip by stiddip. – It also is isomorphic to sidditdiddip, thereby replacing retrograde pentagons by retrograde pentagrams, resp. replacing saddid by sidditdid and pip by stip. – Finally it is isomorphic to gidditdiddip, thereby replacing retrograde pentagons and decagons respectively by pentagons and decagrams, resp. replacing saddid by gidditdid and dip by stiddip.

Incidence matrix according to Dynkin symbol

x x3/2o5x5*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
. x3/2o .    |   3 |  0   3   0 |  *  * 40  *  * |  1  0  0 1
. x   . x5*b |  10 |  0   5   5 |  *  *  * 24  * |  0  1  0 1
. .   o5x    |   5 |  0   0   5 |  *  *  *  * 24 |  0  0  1 1
-------------+-----+------------+----------------+-----------
x x3/2o .    ♦   6 |  3   6   0 |  3  0  2  0  0 | 20  *  * *
x x   . x5*b ♦  20 | 10  10  10 |  5  5  0  2  0 |  * 12  * *
x .   o5x    ♦  10 |  5   0  10 |  0  5  0  0  2 |  *  * 12 *
. x3/2o5x5*b ♦  60 |  0  60  60 |  0  0 20 12 12 |  *  *  * 2

x x3o5/4x5*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
. x3o   .    |   3 |  0   3   0 |  *  * 40  *  * |  1  0  0 1
. x .   x5*b |  10 |  0   5   5 |  *  *  * 24  * |  0  1  0 1
. . o5/4x    |   5 |  0   0   5 |  *  *  *  * 24 |  0  0  1 1
-------------+-----+------------+----------------+-----------
x x3o   .    ♦   6 |  3   6   0 |  3  0  2  0  0 | 20  *  * *
x x .   x5*b ♦  20 | 10  10  10 |  5  5  0  2  0 |  * 12  * *
x . o5/4x    ♦  10 |  5   0  10 |  0  5  0  0  2 |  *  * 12 *
. x3o5/4x5*b ♦  60 |  0  60  60 |  0  0 20 12 12 |  *  *  * 2