Rational Equiangular Polygons

Rational Equiangular Polygons

The main purpose of this note is to investigate equiangular polygons with rational edges. When the number of edges is the power of a prime, we determine simple, necessary and sufficient conditions for the existence of such polygons. As special cases of our investigations, we settle two conjectures i...

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Veröffentlicht in:Applied mathematics (Irvine, Calif.) Calif.), 2013-10, Vol.4 (10), p.1460-1465
Hauptverfasser: Munteanu, Marius, Munteanu, Laura
Format: Artikel
Sprache:eng
Schlagworte:
Arithmetic
Mathematical analysis
Polygons
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Zusammenfassung:The main purpose of this note is to investigate equiangular polygons with rational edges. When the number of edges is the power of a prime, we determine simple, necessary and sufficient conditions for the existence of such polygons. As special cases of our investigations, we settle two conjectures involving arithmetic polygons.
ISSN:2152-7385
2152-7393
DOI:10.4236/am.2013.410197