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2009 Construction and enumeration of Franklin circles
Rebecca Garcia, Stefanie Meyer, Stacey Sanders, Amanda Seitz
Involve 2(3): 357-370 (2009). DOI: 10.2140/involve.2009.2.357

Abstract

Around 1752, Benjamin Franklin constructed a variant on the popular magic squares and what we call a magic (a,r)-circle. We provide a definition for magic (a,r)-circles, magic a-circles and, more specifically, Franklin magic a-circles. In this paper, we use techniques in computational algebraic combinatorics and enumerative geometry to construct and to count Franklin magic 8-circles. We also provide a description of its minimal Hilbert basis and determine the symmetry operations on Franklin magic 8-circles.

Citation

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Rebecca Garcia. Stefanie Meyer. Stacey Sanders. Amanda Seitz. "Construction and enumeration of Franklin circles." Involve 2 (3) 357 - 370, 2009. https://doi.org/10.2140/involve.2009.2.357

Information

Received: 15 March 2009; Revised: 6 June 2009; Accepted: 6 June 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1188.05009
MathSciNet: MR2551132
Digital Object Identifier: 10.2140/involve.2009.2.357

Subjects:
Primary: 05A15
Secondary: 15A48

Rights: Copyright © 2009 Mathematical Sciences Publishers

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