Square antitegum

From Polytope Wiki
Jump to navigation Jump to search
Square antitegum
Square deltahedron.png
Rank3
TypeUniform dual
SpaceSpherical
Bowers style acronymSquate
Info
Coxeter diagramp2p4p
SymmetryI2(8)×A1+, order 16
ArmySquate
RegimentSquate
Elements
Vertex figure2 squares, 8 triangles
Faces8 kites
Edges8+8
Vertices2+8
Measures (edge length 1)
Dihedral angle
Central density1
Euler characteristic2
Related polytopes
DualSquare antiprism
ConjugateSquare antitegum
Properties
ConvexYes
OrientableYes
NatureTame

The square antitegum or squate, also known as the tetragonal trapezohedron, is an antitegum based on the square, constructed as the dual of a square antiprism. It has 8 kites as faces, with 2 order–4 and 8 order–3 vertices. .

Each face of this polyhedron is a kite with its longer edges times the length of its shorter edges.

External links[edit | edit source]