Acronym gaddiddip Name great-dodekicosidodecahedron prism Circumradius sqrt[3-sqrt(5)] = 0.874032 Colonel of regiment (is itself locally convex – other uniform polyhedral members: qriddip   & others) Dihedral angles at {4} between stiddip and stip:   arccos(-1/sqrt(5)) = 116.565051° at {4} between stiddip and trip:   arccos(-sqrt[(5-2 sqrt(5))/15]) = 100.812317° at {10/3} between gaddid and stiddip:   90° at {5/2} between gaddid and stip:   90° at {3} between gaddid and trip:   90° Externallinks

As abstract polytope gaddiddip is isomorphic to saddiddip, thereby replacing pentagrams and decagrams respectively by retrograde pentagons and decagons, resp. replacing gaddid by saddid, stip by pip, and stiddip by dip. – It also is isomorphic to sidditdiddip, thereby replacing decagrams by decagons, resp. replacing gaddid by sidditdid and stiddip by dip. – Finally it is isomorphic to gidditdiddip, thereby replacing pentagrams by pentagons, resp. replacing gaddid by gidditdid and stip by pip.

Incidence matrix according to Dynkin symbol

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

```x x3/2o5/3x5/3*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   .   x5/3*b |  10 |  0   5   5 |  *  *  * 24  * |  0  1  0 1
. .   o5/3x      |   5 |  0   0   5 |  *  *  *  * 24 |  0  0  1 1
-----------------+-----+------------+----------------+-----------
x x3/2o   .      ♦   6 |  3   6   0 |  3  0  2  0  0 | 20  *  * *
x x   .   x5/3*b ♦  20 | 10  10  10 |  5  5  0  2  0 |  * 12  * *
x .   o5/3x      ♦  10 |  5   0  10 |  0  5  0  0  2 |  *  * 12 *
. x3/2o5/3x5/3*b ♦  60 |  0  60  60 |  0  0 20 12 12 |  *  *  * 2
```