Discrete conics as distinguished projective images of regular polygons (Q2351011)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discrete conics as distinguished projective images of regular polygons |
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Discrete conics as distinguished projective images of regular polygons (English)
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26 June 2015
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The author introduces the concept of discrete conic as a polygon lying on a conic \(C\) such that every pair of vertices determine an angle of \(2\pi/n\) with the focus \(F\). In the paper, some nice optical and isogonal properties (analogous to those of conics) of discrete conics are determined. In particular, a similar property to Pascal's hexagrammum misticum theorem is determined. To conclude, two canonical constructions of discrete conics are given.
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discrete conic
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projectively regular polygons
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Poncelet polygons
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