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arxiv: 1212.0200 · v1 · pith:LDLF57FWnew · submitted 2012-12-02 · 🧮 math.MG · cs.DM

Discrete Conics

classification 🧮 math.MG cs.DM
keywords conicsdiscreteactingactionanalogousanaloguesariseconstruction
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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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