Acronym raded
TOCID symbol rED*
Name rhombidodecadodecahedron
 
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Circumradius sqrt(7)/2 = 1.322876
Vertex figure [5/2,4,5,4]
General of army x3f5o
Colonel of regiment (is itself locally convex – other uniform polyhedral members: ided   ri – other edge facetings)
Dihedral angles
  • between {4} and {5/2}:   arccos(-sqrt[(5+sqrt(5))/10]) = 148.282526°
  • between {4} and {5}:   arccos(-sqrt[(5-sqrt(5))/10]) = 121.717474°
Confer
Grünbaumian relatives:
2raded  
facetings:
ided (raded-12-0-12-20)   ri (raded-0-30-0-20)   raded-1-10-5-5  
External
links
hedrondude   wikipedia   polytopewiki   WikiChoron   mathworld   Polyedergarten

As abstract polytope raded is automorph, thereby interchanging the roles of pentagons and pentagrams.

The intersection kernel of this polyhedron is the icosahedrally truncated rhombic triacontahedron.


Incidence matrix according to Dynkin symbol

x5/2o5x

.   . . | 60 |  2  2 |  1  2  1
--------+----+-------+---------
x   . . |  2 | 60  * |  1  1  0
.   . x |  2 |  * 60 |  0  1  1
--------+----+-------+---------
x5/2o . |  5 |  5  0 | 12  *  *
x   . x |  4 |  2  2 |  * 30  *
.   o5x |  5 |  0  5 |  *  * 12

snubbed forms: β5/2o5x, x5/2o5β, β5/2o5β

x5/4o5/3x

.   .   . | 60 |  2  2 |  1  2  1
----------+----+-------+---------
x   .   . |  2 | 60  * |  1  1  0
.   .   x |  2 |  * 60 |  0  1  1
----------+----+-------+---------
x5/4o   . |  5 |  5  0 | 12  *  *
x   .   x |  4 |  2  2 |  * 30  *
.   o5/3x |  5 |  0  5 |  *  * 12

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