Rectified hexagonal duoprism

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Rectified hexagonal duoprism
Rank4
TypeIsogonal
Notation
Bowers style acronymRehiddip
Elements
Cells36 tetragonal disphenoids, 12 rectified hexagonal prisms
Faces144 isosceles triangles, 36 squares, 12 hexagons
Edges72+144
Vertices72
Vertex figureWedge
Measures (based on hexagons of edge length 1)
Edge lengthsLacing edges (144):
 Edges of base hexagons (72): 1
Circumradius
Central density1
Related polytopes
ArmyRehiddip
RegimentRehiddip
DualJoined hexagonal duotegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryG2≀S2, order 288
ConvexYes
NatureTame

The rectified hexagonal duoprism or rehiddip is a convex isogonal polychoron that consists of 12 rectified hexagonal prisms and 36 tetragonal disphenoids. 3 rectified hexagonal prisms and 2 tetragonal disphenoids join at each vertex. It can be formed by rectifying the hexagonal duoprism.

It can also be formed as the convex hull of 2 oppositely oriented semi-uniform hexagonal duoprisms, where the edges of one hexagon are times as long as the edges of the other.

The ratio between the longest and shortest edges is 1: ≈ 1:1.22474.

Vertex coordinates[edit | edit source]

The vertices of a rectified hexagonal duoprism based on hexagons of edge length 1, centered at the origin, are given by: