Acronym ditdid
TOCID symbol DE*
Name ditrigonal dodecadodecahedron,
vertex figure of dittady
 
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Circumradius sqrt(3)/2 = 0.866025
Vertex figure [(5/3,5)3]
General of army doe
Colonel of regiment sidtid
Dihedral angles
  • between {5} and {5/2}:   arccos(1/sqrt(5)) = 63.434949°
Confer
Grünbaumian relatives:
sidtid+ditdid   sidtid+ditdid+gidtid   ditdid+gidtid   cadditradid   2ditdid+5cube  
External
links
hedrondude   wikipedia   WikiChoron   mathworld

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

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


Incidence matrix according to Dynkin symbol

x5/3o3o5*a

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

o3/2o5/2x5*a

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

o5/4x5/2o3*a

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

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

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