Pentagonal disphenoid

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Pentagonal disphenoid
5-ds.png
Rank5
TypeNoble
SpaceSpherical
Bowers style acronymPedow
Info
SymmetryH2≀S2×A1+, order 200
ArmyPedow
RegimentPedow
Elements
Vertex figurePentagonal scalene
Tera10 pentagonal scalenes
Cells25 tetragonal disphenoids, 10 pentagonal disphenoids
Faces50 isosceles triangles, 2 pentagons
Edges10+25
Vertices10
Measures (base edge length 1, height h)
Edge lengthsEdges of pentagons (10): 1
 Lacing edges (25):
Circumradius
Central density1
Euler characteristic2
Related polytopes
DualPentagonal disphenoid
ConjugatePentagrammic disphenoid
Properties
ConvexYes
OrientableYes
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.