Decagonal disphenoid

From Polytope Wiki
Jump to navigation Jump to search
Decagonal disphenoid
Rank5
TypeNoble
Notation
Bowers style acronymDedow
Elements
Tera20 decagonal scalenes
Cells100 tetragonal disphenoids, 20 decagonal pyramids
Faces200 isosceles triangles, 2 decagons
Edges20+100
Vertices20
Vertex figureDecagonal scalene
Measures (base edge length 1, height h)
Edge lengthsEdges of base decagons (20): 1
 Lacing edges (100):
Circumradius
Central density1
Related polytopes
ArmyDedow
RegimentDedow
DualDecagonal disphenoid
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryI2(10)▲S2, order 800
ConvexYes
NatureTame

The decagonal disphenoid or dedow is a convex noble polyteron with 20 decagonal scalenes as facets. 12 facets join at each vertex. However, it cannot be made scaliform, because the length of the lacing edges must be greater than the base edges.