Acronym gaddid
TOCID symbol eJE*
Name great dodekicosidodecahedron
 
 © ©
Circumradius sqrt[-sqrt(5)+11/4] = 0.716891
Vertex figure [5/2,10/3,3,10/3]
General of army f3x5o
Colonel of regiment (is itself locally convex – other uniform polyhedral members: qrid   gird – other edge facetings)
Dihedral angles
  • between {5/2} and {10/3}:   arccos(-1/sqrt(5)) = 116.565051°
  • between {3} and {10/3}:   arccos(-sqrt[(5-2 sqrt(5))/15]) = 100.812317°
External
links
hedrondude   wikipedia   WikiChoron   mathworld   Polyedergarten

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


Incidence matrix according to Dynkin symbol

x5/3x5/2o3*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   .   o3*a |  3 |  3  0 |  * 20  *
.   x5/2o    |  5 |  0  5 |  *  * 12

x3/2o5/3x5/3*a

.   .   .      | 60 |  2  2 |  1  2  1
---------------+----+-------+---------
x   .   .      |  2 | 60  * |  1  1  0
.   .   x      |  2 |  * 60 |  0  1  1
---------------+----+-------+---------
x3/2o   .      |  3 |  3  0 | 20  *  *
x   .   x5/3*a | 10 |  5  5 |  * 12  *
.   o5/3x      |  5 |  0  5 |  *  * 12

© 2004-2019
top of page