Hexagonal disphenoid

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Hexagonal disphenoid
Rank5
TypeNoble
Notation
Bowers style acronymHedow
Elements
Tera12 hexagonal scalenes
Cells36 tetragonal disphenoids, 12 hexagonal pyramids
Faces72 isosceles triangles, 2 hexagons
Edges12+36
Vertices12
Vertex figureHexagonal scalene
Measures (edge length 1)
Edge lengthsEdges of base hexagons (12): 1
 Lacing edges (36):
Circumradius
Central density1
Related polytopes
ArmyHidow
RegimentHidow
DualHexagonal disphenoid
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryG2▲S2, order 288
ConvexYes
NatureTame

The hexagonal disphenoid or hidow is a convex noble polyteron with 12 hexagonal scalenes as facets. 8 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.