Snub square antiprism

Snub square antiprism
Type	Johnson J84 – J85 – J86
Faces	24 triangles 2 squares
Edges	40
Vertices	16
Vertex configuration	${\displaystyle 8\times 3^{5}+8\times 3^{4}\times 4}$
Symmetry group	${\displaystyle D_{4d}}$
Dihedral angle (degrees)	triangle-to-triangle: eight of 164.257°, sixteen of 144.144°, and eight of 114.645° triangle-to-square: 145.441°
Properties	convex, elementary
Net

In geometry, the snub square antiprism is the Johnson solid that can be constructed by snubbing the square antiprism. It is one of the elementary Johnson solids that do not arise from "cut and paste" manipulations of the Platonic and Archimedean solids. However, it is a relative of the icosahedron that has fourfold symmetry instead of threefold. It has 26 faces: 2 squares and 24 triangles; and two types of edges: triangle-square, triangle-triangle.