Acronym raded TOCID symbol rED* Name rhombidodecadodecahedron ` © ©` 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 Externallinks

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
```