Circumscribed Circles in Integer Geometry
Abstract
Integer geometry on a plane deals with objects whose vertices are points in Z2. The congruence relation is provided by all affine transformations preserving the lattice Z2. In this paper we study circumscribed circles in integer geometry. We introduce the notions of integer and rational circumscribed circles of integer sets. We determine the conditions for a finite integer set to admit an integer circumscribed circle and describe the spectra of radii for integer and rational circumscribed circles.
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