Acronym qriddip
Name quasi-rhombicosidodecahedron prism
Circumradius sqrt[3-sqrt(5)] = 0.874032
Colonel of regiment gaddiddip
Dihedral angles
  • at {4} between cube and qrid:   90°
  • at {5/2} between qrid and stip:   90°
  • at {3} between qrid and trip:   90°
  • at {4} between cube and trip:   arccos((sqrt(5)-1)/sqrt(12)) = 69.094843°
  • at {4} between cube and stip:   arccos(sqrt[(5-sqrt(5))/10]) = 58.282526°
External
links
hedrondude  

As abstract polytope qriddip is isomorphic to sriddip, thereby replacing retrograde pentagrams by prograde pentagons, resp. replacing qrid by srid and stip by pip.


Incidence matrix according to Dynkin symbol

x x3o5/3x

. . .   . | 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 .   x |   4 |  0   2   2 |  *  *  * 60  * |  0  1  0 1
. . o5/3x |   5 |  0   0   5 |  *  *  *  * 24 |  0  0  1 1
----------+-----+------------+----------------+-----------
x x3o   .    6 |  3   6   0 |  3  0  2  0  0 | 20  *  * *
x x .   x    8 |  4   4   4 |  2  2  0  2  0 |  * 30  * *
x . o5/3x   10 |  5   0  10 |  0  5  0  0  2 |  *  * 12 *
. x3o5/3x   60 |  0  60  60 |  0  0 20 30 12 |  *  *  * 2

x x3/2o5/2x

. .   .   . | 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   .   x |   4 |  0   2   2 |  *  *  * 60  * |  0  1  0 1
. .   o5/2x |   5 |  0   0   5 |  *  *  *  * 24 |  0  0  1 1
------------+-----+------------+----------------+-----------
x x3/2o   .    6 |  3   6   0 |  3  0  2  0  0 | 20  *  * *
x x   .   x    8 |  4   4   4 |  2  2  0  2  0 |  * 30  * *
x .   o5/2x   10 |  5   0  10 |  0  5  0  0  2 |  *  * 12 *
. x3/2o5/2x   60 |  0  60  60 |  0  0 20 30 12 |  *  *  * 2

xx3oo5/3xx&#x   → height = 1
(qrid || qrid)

o.3o.5/3o.    | 60  * |  2  2  1  0  0 |  1  2  1  2  2  0  0  0 | 1  1  2  1 0
.o3.o5/3.o    |  * 60 |  0  0  1  2  2 |  0  0  0  2  2  1  2  1 | 0  1  2  1 1
--------------+-------+----------------+-------------------------+-------------
x. ..   ..    |  2  0 | 60  *  *  *  * |  1  1  0  1  0  0  0  0 | 1  1  1  0 0
.. ..   x.    |  2  0 |  * 60  *  *  * |  0  1  1  0  1  0  0  0 | 1  0  1  1 0
oo3oo5/3oo&#x |  1  1 |  *  * 60  *  * |  0  0  0  2  2  0  0  0 | 0  1  2  1 0
.x ..   ..    |  0  2 |  *  *  * 60  * |  0  0  0  1  0  1  1  0 | 0  1  1  0 1
.. ..   .x    |  0  2 |  *  *  *  * 60 |  0  0  0  0  1  0  1  1 | 0  0  1  1 1
--------------+-------+----------------+-------------------------+-------------
x.3o.   ..    |  3  0 |  3  0  0  0  0 | 20  *  *  *  *  *  *  * | 1  1  0  0 0
x. ..   x.    |  4  0 |  2  2  0  0  0 |  * 30  *  *  *  *  *  * | 1  0  1  0 0
.. o.5/3x.    |  5  0 |  0  5  0  0  0 |  *  * 12  *  *  *  *  * | 1  0  0  1 0
xx ..   ..&#x |  2  2 |  1  0  2  1  0 |  *  *  * 60  *  *  *  * | 0  1  1  0 0
.. ..   xx&#x |  2  2 |  0  1  2  0  1 |  *  *  *  * 60  *  *  * | 0  0  1  1 0
.x3.o   ..    |  0  3 |  0  0  0  3  0 |  *  *  *  *  * 20  *  * | 0  1  0  0 1
.x ..   .x    |  0  4 |  0  0  0  2  2 |  *  *  *  *  *  * 30  * | 0  0  1  0 1
.. .o5/3.x    |  0  5 |  0  0  0  0  5 |  *  *  *  *  *  *  * 12 | 0  0  0  1 1
--------------+-------+----------------+-------------------------+-------------
x.3o.5/3x.     60  0 | 60 60  0  0  0 | 20 30 12  0  0  0  0  0 | 1  *  *  * *
xx3oo   ..&#x   3  3 |  3  0  3  3  0 |  1  0  0  3  0  1  0  0 | * 20  *  * *
xx ..   xx&#x   4  4 |  2  2  4  2  2 |  0  1  0  2  2  0  1  0 | *  * 30  * *
.. oo5/3xx&#x   5  5 |  0  5  5  0  5 |  0  0  1  0  5  0  0  1 | *  *  * 12 *
.x3.o5/3.x      0 24 |  0  0  0 24 24 |  0  0  0  0  0 20 30 12 | *  *  *  * 1


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