High Quality Content by WIKIPEDIA articles! A complex polytope is the generalisation of polytope, by suspending the dyadic condition. Under the dyadic condition, if an element of dimension M+1 has an element of dimension M-1, there are exactly two elements of dimension M that connects to both, for example, there are exactly two edges at the vertex of a polygon, and two polygons (M=2) at the edge (M=1) of a polyhedron (M=3). This condition arises naturally from the element of M-1 dimensions partially divides the surface of a figure of M+1 dimensions, eg a point locally divides the perimeter of a polygon, and a line locally divides the surface of a solid.

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