Pentagonal disphenoid

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Pentagonal disphenoid
Rank5
TypeNoble
Notation
Bowers style acronymPedow
Elements
Tera10 pentagonal scalenes
Cells25 tetragonal disphenoids, 10 pentagonal pyramids
Faces50 isosceles triangles, 2 pentagons
Edges10+25
Vertices10
Vertex figurePentagonal scalene
Measures (base edge length 1, height h)
Edge lengthsEdges of pentagons (10): 1
 Lacing edges (25):
Circumradius
Central density1
Related polytopes
ArmyPedow
RegimentPedow
DualPentagonal disphenoid
ConjugatePentagrammic disphenoid
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryH2▲S2, order 200
ConvexYes
NatureTame

The pentagonal disphenoid or pedow is a convex noble polyteron with 10 pentagonal scalenes as facets. 7 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.