Square antiprism

Uniform square antiprism
Type Prismatic uniform polyhedron
Elements F = 10, E = 16
V = 8 (χ = 2)
Faces by sides 8{3}+2{4}
Schläfli symbol s{2,8}
sr{2,4}
Wythoff symbol | 2 2 4
Coxeter diagram
Symmetry group D4d, [2+,8], (2*4), order 16
Rotation group D4, [4,2]+, (442), order 8
References U77(b)
Dual Tetragonal trapezohedron
Properties convex

Vertex figure
3.3.3.4
Not to be confused with Square antiprismatic molecular geometry and Square antiprismatic prism
3D model of a (uniform) square antiprism

In geometry, the square antiprism is the second in an infinite family of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps. It is also known as an anticube.[1]

If all its faces are regular, it is a semiregular polyhedron or uniform polyhedron.

A nonuniform D4-symmetric variant is the cell of the noble square antiprismatic 72-cell.

  1. ^ Holleman-Wiberg. Inorganic Chemistry, Academic Press, Italy, p. 299. ISBN 0-12-352651-5.