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°
External
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hedrondude  

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

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