TITLE:
Rational Equiangular Polygons
AUTHORS:
Marius Munteanu, Laura Munteanu
KEYWORDS:
Equiangular Polygon; Arithmetic Polygon
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.10,
October
14,
2013
ABSTRACT:
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.