Acronym ided
TOCID symbol iED*
Name icosidodecadodecahedron
 
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Circumradius sqrt(7)/2 = 1.322876
Vertex figure [5/3,6,5,6]
General of army x3f5o
Colonel of regiment raded
Dihedral angles
  • between {5} and {6}:   arccos(-sqrt[(5-2 sqrt(5))/15]) = 100.812317°
  • between {5/2} and {6}:   arccos(sqrt[(5+2 sqrt(5))/15]) = 37.377368°
External
links
hedrondude   wikipedia   WikiChoron   mathworld

As abstract polytope ided is automorph, thereby interchanging the roles of (prograde) pentagons and (retrograde) pentagrams.


Incidence matrix according to Dynkin symbol

o5/3x3x5*a

.   . .    | 60 |  2  2 |  1  2  1
-----------+----+-------+---------
.   x .    |  2 | 60  * |  1  1  0
.   . x    |  2 |  * 60 |  0  1  1
-----------+----+-------+---------
o5/3x .    |  5 |  5  0 | 12  *  *
.   x3x    |  6 |  3  3 |  * 20  *
o   . x5*a |  5 |  0  5 |  *  * 12

x5/4o5/2x3*a

.   .   .    | 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   .   x3*a |  6 |  3  3 |  * 20  *
.   o5/2x    |  5 |  0  5 |  *  * 12

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