NDLI: A characterization of affinely regular polygons

Content Provider	Springer Nature Link
Author	Nicollier, Grégoire
Copyright Year	2015
Abstract	We characterize affinely regular polygons in a real affine space as follows. Consider two polygons P and Q with the same number of vertices and a common side, P being an affine image of some (convex or nonconvex) regular polygon. Q is then an affine image of the same regular polygon if and only if the vectors between the corresponding vertices of P and Q are uniquely determined multiples of the vector between the vertices just after the common side.
Starting Page	453
Ending Page	458
Page Count	6
File Format	PDF
ISSN	01384821
Journal	Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
Volume Number	57
Issue Number	2
e-ISSN	21910383
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2015-11-12
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Affinely regular polygons Discrete Fourier transformation Barlotti theorem Affine analytic geometry Polyhedra and polytopes; regular figures, division of spaces Algebra Geometry Algebraic Geometry Convex and Discrete Geometry
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory Geometry and Topology

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A characterization of affinely regular polygons