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°
External
links
hedrondude  

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

© 2004-2019
top of page