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°
External
links
hedrondude  

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

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