Snub cube composed by six squares and thirty-two equilateral triangles.

Polyhedron with thirty eight faces: six squares and thirty-two equilateral triangles. It has sixty edges and twenty-four vertices. It is a Archimedean solid as it is a convex uniform polyhedra composed of regular polygons meeting in identical vertices, excluding the five Platonic solids (which are composed of only one type of polygon) and excluding the prisms and antiprisms.

The surface area of a snub cube with edge length 1 is given by the formula:

\text{Surface area}=6+8 \sqrt{3}

The volume of a snub cube of unit edge length with circumradius R is given by:

\text{Volume}=\frac{8}{3} \sqrt{3R^2-1} + \sqrt{4R^2-2}

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