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math.NT2024
Circumscribed Circles in Integer Geometry
Oleg Karpenkov, Anna Pratoussevitch, Rebecca Sheppard
Integer geometry on a plane deals with objects whose vertices are points in . The congruence relation is provided by all affine transformations preserving the lattice…
math.NT2023
Lattice angles of lattice polygons
James Dolan, Oleg Karpenkov
This paper is dedicated to a lattice analog to the classical ``sum of interior angles of a polygon theorem''. In 2008, the first formula expressing conditions on the geometric cont…