(mathematics) The state of being a polygon, the degree to which an object is polygonal.
1985, A. C. Ferro und M. A. Fortes, A new family of trivalent space-filling parallelohedra, As the number of faces increases, the space-fillers contact more distant neighbours, the polygonalities of the faces of contact decreasing as the order of the neighbours increases.
2010, T. Öhman et al, Polygonal impact craters in the Solar System: Observations and implications, The common feature of these and earlier was that the polygonality was regarded as an indication of nonimpact, or even non-explosive origin.