Acronym gidditdid
TOCID symbol eJE
Name great ditrigonal dodekicosidodecahedron,
great dodekified icosidodecahedron
 
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Circumradius sqrt[(17-3 sqrt(5))/8] = 1.134229
Vertex figure [3,10/3,5,10/3]
General of army tid
Colonel of regiment (is itself locally convex – other uniform polyhedral members: giddy   giid – other edge facetings)
Dihedral angles
  • between {3} and {10/3}:   arccos(-sqrt[(5+2 sqrt(5))/15]) = 142.622632°
  • between {5} and {10/3}:   arccos(-1/sqrt(5)) = 116.565051°
External
links
hedrondude   wikipedia   WikiChoron   mathworld   Polyedergarten

As abstract polytope gidditdid is isomorphic to sidditdid, saddid, and gaddid, thereby replacing pentagons and decagrams respectively by retrograde pentagrams and decagons, by retrograde pentagons and decagons, by pentagrams and decagrams.


Incidence matrix according to Dynkin symbol

x5/3x3o5*a

.   . .    | 60 |  2  2 |  2  1  1
-----------+----+-------+---------
x   . .    |  2 | 60  * |  1  1  0
.   x .    |  2 |  * 60 |  1  0  1
-----------+----+-------+---------
x5/3x .    | 10 |  5  5 | 12  *  *
x   . o5*a |  5 |  5  0 |  * 12  *
.   x3o    |  3 |  0  3 |  *  * 20

x5/4o3/2x5/3*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   .   x5/3*a | 10 |  5  5 |  * 12  *
.   o3/2x      |  3 |  0  3 |  *  * 20

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