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° Externallinks

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
```