Acronym qrid
TOCID symbol rJE*
Name quasi rhombicosidodecahedron,
great rhombicosidodecahedron (but not grid)
 
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Circumradius sqrt[-sqrt(5)+11/4] = 0.716891
Vertex figure [5/3,4,3,4]
General of army f3x5o
Colonel of regiment gaddid
Dihedral angles
  • between {3} and {4}:   arccos((sqrt(5)-1)/sqrt(12)) = 69.094843°
  • between {4} and {5/2}:   arccos(sqrt[(5-sqrt(5))/10]) = 58.282526°
Confer
non-convex cap:
rastacu  
External
links
hedrondude   wikipedia   WikiChoron   mathworld

As abstract polytope qrid is isomorphic to srid, thereby replacing retrograde pentagrams by prograde pentagons. – As such qrid is a lieutenant.


Incidence matrix according to Dynkin symbol

x5/3o3x

.   . . | 60 |  2  2 |  1  2  1
--------+----+-------+---------
x   . . |  2 | 60  * |  1  1  0
.   . x |  2 |  * 60 |  0  1  1
--------+----+-------+---------
x5/3o . |  5 |  5  0 | 12  *  *
x   . x |  4 |  2  2 |  * 30  *
.   o3x |  3 |  0  3 |  *  * 20

x3/2o5/2x

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

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