Acronym	ditdid
TOCID symbol	DE*
Name	ditrigonal dodecadodecahedron, vertex figure of dittady
VRML	⭳ ©
Circumradius	sqrt(3)/2 = 0.866025
Vertex figure	[(5/3,5)3]
General of army	doe
Colonel of regiment	sidtid
Dual	matai
Dihedral angles	between {5} and {5/2}:   arccos(1/sqrt(5)) = 63.434949°
Face vector	20, 60, 24
Confer	Grünbaumian relatives: sidtid+ditdid   sidtid+ditdid+gidtid   ditdid+gidtid   cadditradid   2ditdid+5cube   general polytopal classes: Wythoffian polyhedra
External links

As abstract polytope ditdid is automorph, thereby interchanging the roles of pentagons and (retrograde) pentagrams. As such it could be seen to be a non-regular realization of the regular abstract polyhedron {5,6}₄ (where the index just denotes the size of the corresponding Petrie polygon).

Ditdid also can be obtained as a blend of sidtid with gidtid, blending out the triangles.

This polyhedron is an edge-faceting of the small ditrigonal icosidodecahedron (sidtid).

Incidence matrix according to Dynkin symbol

     x    
5/3 / \ 5 
   o---o  
     3    

x5/3o3o5*a

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

     x    
5/2 / \ 5 
   o---o  
    3/2   

o3/2o5/2x5*a

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

     x     
5/2 / \ 5/4
   o---o   
     3     

o5/4x5/2o3*a

.   .   . | 20 |  6 |  3  3
----------+----+----+------
.   x   . |  2 | 60 |  1  1
----------+----+----+------
o5/4x   . |  5 |  5 | 12  *
.   x5/2o |  5 |  5 |  * 12

     x     
5/3 / \ 5/4
   o---o   
    3/2    

x5/4o3/2o5/3*a

.   .   .      | 20 |  6 |  3  3
---------------+----+----+------
x   .   .      |  2 | 60 |  1  1
---------------+----+----+------
x5/4o   .      |  5 |  5 | 12  *
x   .   o5/3*a |  5 |  5 |  * 12