polygonality

polygonal +‎ -ity

polygonality (usually uncountable, plural polygonalities)

1. (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”, in Zeitschrift für Kristallographie, volume 173:

     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.

   • M. Glouberman (1986) Descartes: The Probable and the Certain, →ISBN, page 213: “Conversely, (b) the condition of polygonality is a part of each of the conditions of triangularity, quadrilaterality, etc., and hence the latter are more than the term which collects them: the collecting term is, in other words, less than the terms it collects.”
   • 2010, T. Öhman et al, “Polygonal impact craters in the Solar System: Observations and implications”, in Large Meteorite Impacts and Planetary Evolution IV, →ISBN, page 52:

     The common feature of these and earlier was that the polygonality was regarded as an indication of nonimpact, or even non-explosive origin.

• polygonhood
• polygonness

• circularity

• triangularity
• squareness