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The antiprism \,A_{n}, n \geq 3, is the plane regular graph of degree 4 (an Archimedean convex polytope). In particular, \,A_{3} is the octahedron.

The \,k-antiprism is the 4-regular plane graph consisting of two \,k-gons and \,2k triangles such that every vertex is incident with three triangles and one \,k-gon.