Acronym did
TOCID symbol ED*
Name dodecadodecahedron,
great dodecadodecahedron
 
 © ©
Circumradius 1
Vertex figure [(5/2,5)2]
General of army id
Colonel of regiment (is itself locally convex – other uniform polyhedral members: gidhei   sidhei – other edge facetings)
Dihedral angles
  • between {5} and {5/2}:   arccos(-1/sqrt(5)) = 116.565051°
Confer
Grünbaumian relatives:
2did   did+sidhei+gidhei  
decompositions:
pt || did  
External
links
hedrondude   wikipedia   polytopewiki   WikiChoron   mathworld   Polyedergarten

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

Note that did can be thought of as the external blend of 12 peppies + 12 stappies. This decomposition is described as the degenerate segmentochoron oo5ox5/2oo&#x.


Incidence matrix according to Dynkin symbol

o5/2x5o

.   . . | 30 |  4 |  2  2
--------+----+----+------
.   x . |  2 | 60 |  1  1
--------+----+----+------
o5/2x . |  5 |  5 | 12  *
.   x5o |  5 |  5 |  * 12

snubbed forms: o5/2β5o

o5/3x5o

.   . . | 30 |  4 |  2  2
--------+----+----+------
.   x . |  2 | 60 |  1  1
--------+----+----+------
o5/3x . |  5 |  5 | 12  *
.   x5o |  5 |  5 |  * 12

o5/4x5/2o

.   .   . | 30 |  4 |  2  2
----------+----+----+------
.   x   . |  2 | 60 |  1  1
----------+----+----+------
o5/4x   . |  5 |  5 | 12  *
.   x5/2o |  5 |  5 |  * 12

o5/4x5/3o

.   .   . | 30 |  4 |  2  2
----------+----+----+------
.   x   . |  2 | 60 |  1  1
----------+----+----+------
o5/4x   . |  5 |  5 | 12  *
.   x5/3o |  5 |  5 |  * 12

© 2004-2021
top of page