Snub cuboctahedron

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A snub cube is a non-convex polyhedron with 27 faces, including 9 equilateral triangles and 18 squares. It has 36 edges, each of which is shared by exactly two faces. The snub cube's dual is the 3^3 dodecahedron, and it can be constructed from a regular cube by connecting the midpoints of its edges with lines that intersect at the center of the faces.