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 |
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| 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 |