Analytical Derivation of the Fuss Relations for Bicentric Hendecagon and Dodecagon
M. Orlića and Z. Kaliman b
aUniversity of Applied Sciences, Zagreb, Croatia
bUniversity of Rijeka, Department of Physics, Rijeka, Croatia
Full Text PDF
In this article we present analytical derivation of the Fuss relations for n=11 (hendecagon) and n=12 (dodecagon). We base our derivation on the Poncelet closure theorem for bicentric polygons, which states that if a bicentric n-gon exists on two circles then every point on the outer circle is the vertex of same bicentric n-gon. We have used Wolfram Mathematica for the analytical computation. We verified results by comparison with earlier obtained results as well as by numerical calculations.

DOI: 10.12693/APhysPolA.128.B-82
PACS numbers: 02.70.Wz