Square disphenoid

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Square disphenoid
Rank5
TypeNoble
Notation
Bowers style acronymSquadow
Elements
Tera8 square scalenes
Cells16 tetragonal disphenoids, 8 square pyramids
Faces32 isosceles triangles, 2 squares
Edges8+16
Vertices8
Vertex figureSquare scalene
Measures (square edge length 1, height h)
Edge lengthsEdges of squares (8): 1
 Lacing edges (16):
Circumradius
Central density1
Related polytopes
ArmySquadow
RegimentSquadow
DualSquare disphenoid
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryB2▲S2, order 128
ConvexYes
NatureTame

The square disphenoid, squadow, or digonal duoantifastegium is a convex noble polyteron with 8 square scalenes as facets. 6 facets join at each vertex. However, it cannot be made scaliform, because the variant with equal edges becomes flat, making it a hexadecachoron instead. Along with the digonal tetragyroprism, it is one of the two known isogonal polytera with 8 vertices.

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