High Quality Content by WIKIPEDIA articles! A Robbins pentagon, named after David P. Robbins, is a cyclic polygon with five integer sides and integer area. It also has the property that all its diagonals are rational, meaning that it can be decomposed into Heron triangles. The converse is not necessarily true. Three Heron triangles cannot always be glued together in such a way that their exterior vertices lie on a circle. It is unknown whether or not an indecomposable Robbins pentagon exists. David P. Robbins (12 August 1942, Brooklyn – 4 September 2003, Princeton) was an American mathematician. He is most famous for introducing alternating sign matrices and his work on generalized Heron's formula.

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