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Discrete Conics

Published 2 Dec 2012 in math.MG and cs.DM | (1212.0200v1)

Abstract: In this paper, we introduce discrete conics, polygonal analogues of conics. We show that discrete conics satisfy a number of nice properties analogous to those of conics, and arise naturally from several constructions, including the discrete negative pedal construction and an action of a group acting on a focus-sharing pencil of conics.

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