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   WikiChoron   mathworld   Polyedergarten

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


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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