Acronym gaquatiddip Name great-quasitruncated-icosidodecahedron prism Circumradius sqrt[8-3 sqrt(5)] = 1.136572 Dihedral angles at {4} between cube and stiddip:   arccos(-sqrt[(5-sqrt(5))/10]) = 121.717474° at {4} between cube and gaquatid:   90° at {10/3} between gaquatid and stiddip:   90° at {6} between gaquatid and hip:   90° at {4} between hip and stiddip:   arccos(sqrt[(5-2 sqrt(5))/15]) = 79.187683° at {4} between cube and hip:   arccos(sqrt[(3-sqrt(5))/6]) = 69.094843° Externallinks

As abstract polytope gaquatiddip is isomorphic to griddip, thereby replacing decagrams by decagons, resp. replacing gaquatid by grid and stiddip by dip.

Incidence matrix according to Dynkin symbol

```x x3x5/3x

. . .   . | 240 |   1   1   1   1 |  1  1  1  1  1  1 |  1  1  1 1
----------+-----+-----------------+-------------------+-----------
x . .   . |   2 | 120   *   *   * |  1  1  1  0  0  0 |  1  1  1 0
. x .   . |   2 |   * 120   *   * |  1  0  0  1  1  0 |  1  1  0 1
. . x   . |   2 |   *   * 120   * |  0  1  0  1  0  1 |  1  0  1 1
. . .   x |   2 |   *   *   * 120 |  0  0  1  0  1  1 |  0  1  1 1
----------+-----+-----------------+-------------------+-----------
x x .   . |   4 |   2   2   0   0 | 60  *  *  *  *  * |  1  1  0 0
x . x   . |   4 |   2   0   2   0 |  * 60  *  *  *  * |  1  0  1 0
x . .   x |   4 |   2   0   0   2 |  *  * 60  *  *  * |  0  1  1 0
. x3x   . |   6 |   0   3   3   0 |  *  *  * 40  *  * |  1  0  0 1
. x .   x |   4 |   0   2   0   2 |  *  *  *  * 60  * |  0  1  0 1
. . x5/3x |  10 |   0   0   5   5 |  *  *  *  *  * 24 |  0  0  1 1
----------+-----+-----------------+-------------------+-----------
x x3x   . ♦  12 |   6   6   6   0 |  3  3  0  2  0  0 | 20  *  * *
x x .   x ♦   8 |   4   4   0   4 |  2  0  2  0  2  0 |  * 30  * *
x . x5/3x ♦  20 |  10   0  10  10 |  0  5  5  0  0  2 |  *  * 12 *
. x3x5/3x ♦ 120 |   0  60  60  60 |  0  0  0 20 30 12 |  *  *  * 2
```