Peter Loly
Peter Loly with Ian Cameron, Eigenvalues of an Algebraic Family of Compound Magic Squares of Order n=3^l, l=2,3,..., and Construction and Enumeration of their Fundamental Numerical Forms.
Peter Loly, Ian Cameron, Walter Trump and Daniel Schindel, "Magic square spectra", Linear Algebra and its Applications, 430 (2009) 2659-2680.
(This is an update of the main part of the lead keynote talk at IWMS16, June 1-3, 2007, Windsor, Ontario.)
Enumerating the bent diagonal squares of Dr
Benjamin Franklin FRS , Proceedings of the Royal Society A: //dx.doi.org/10.1098/rspa.2006.1684 - volume 462 (2072),
2271-2279, August 2006 - Feb. 26, 2007:
2nd of top 10 downloads for past 3 months! Covered in 2006 book "Magische vierkanten - van Lo Shu
tot Sudoku" by Arno
van den Essen (www.wiskundemeisjes.nl/wp-content/uploads/2006/12/kaft.jpg).
Count verifed by Miguel Amela (http://www.region.com.ar/amela/franklinsquares/) and
by FormulaOne
(http://www.f1compiler.com/samples/Franklin%27s%208x8%20Magic%20Square.f1.html)
Second book covers our Franklin work:
Paul C. Pasles: “Benjamin
Franklin’s Numbers – A Unsung Mathematical Odyssey”,
Princeton University Press 2008 – see 228, 241.
Last update 25 November, 2009 by P. D. Loly