Affine regular polygons | Zendy

Sándor Szabó | Zendy

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Affine regular polygons

Author(s) -

Sándor Szabó

Publication year - 2005

Publication title -

elemente der mathematik

Language(s) - English

Resource type - Journals

eISSN - 1420-8962

pISSN - 0013-6018

DOI - 10.4171/em/20

Subject(s) - combinatorics , mathematics , affine transformation , affine plane (incidence geometry) , polygon (computer graphics) , regular polygon , plane (geometry) , geometry , computer science , telecommunications , frame (networking)

are the sides of a regular (n, k)-gon (see Fig. 1). The regular (n, 1)-gon is an ordinary regular n-gon with directed sides. The regular (n, n − 1)-gon is the same ordinary regular n-gon, only the orientation of the sides are the opposite. For 2 ≤ k ≤ n − 2 a regular (n, k)-gon is a star polygon. An affine regular (n, k)-gon is an affine image of a regular (n, k)-gon (see Fig. 2). We will show that three results on triangles extend to affine regular polygons.

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