Acronym idtid
TOCID symbol tIDE*
Name icosidodecatruncated icosidodecahedron, icositruncated dodecadodecahedron
 
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Circumradius 2
Vertex figure [6,10,10/3]
General of army f3v5v
Colonel of regiment (is itself locally convex – no other uniform polyhedral members)
Dihedral angles
  • between {6} and {10/3}:   arccos(-sqrt[(5+2 sqrt(5))/15]) = 142.622632°
  • between {10} and {10/3}:   arccos(-1/sqrt(5)) = 116.565051°
  • between {6} and {10}:   arccos(-sqrt[(5-2 sqrt(5))/15]) = 100.812317°
External
links
wikipedia   WikiChoron   mathworld

As abstract polytope idtid is automorph, thereby interchanging the roles of decagons and decagrams.


Incidence matrix according to Dynkin symbol

x5/3x3x5*a

.   . .    | 120 |  1  1  1 |  1  1  1
-----------+-----+----------+---------
x   . .    |   2 | 60  *  * |  1  1  0
.   x .    |   2 |  * 60  * |  1  0  1
.   . x    |   2 |  *  * 60 |  0  1  1
-----------+-----+----------+---------
x5/3x .    |  10 |  5  5  0 | 12  *  *
x   . x5*a |  10 |  5  0  5 |  * 12  *
.   x3x    |   6 |  0  3  3 |  *  * 20

snubbed forms: s5/3s3s5*a

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