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° Externallinks

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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