Peter Loly

Department of Physics & Astronomy and Winnipeg Institute for Theoretical Physics . University of Manitoba

Peter Loly, Ian Cameron, Walter Trump and Daniel Schindel, "Magic square spectra", has been accepted for publication in Linear Algebra and Its Applications. (30 Oct. 2008)

(This is the main part of the talk at Windsor.)

Eigenvalues in the Universe of Matrix Elements 1..n-squared. Keynote talk at 16th International Workshop on Matrices and Statistics, Windsor, June 1-3.

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.

12th order Franklin Squares? - A Question Posed by Loly in the Franklin paper April 2007 - Since the publication of Arno van den Essen's book Christian Eggermont reports that there has been a mini-media storm in the Netherlands.

Franklin Squares - A Chapter in the Scientific Studies of Magical Squares , transcript for poster talk at NKS2006 (New Kind of Science), Washington, D.C., June 2006. [Enhanced version in press for Complex Systems, vol. 17 (2007) 143-161]

Counting Franklin's Magic Squares - Math Trek article in Science News by Ivars Peterson about the Franklin paper and other magical square work by The Manitoba Magicians. Chosen 3rd of the top 10 weekly MathTrek columns of 2006.

Magic Square Physics - second Math Trek article by Ivars Peterson about moments of inertia and the multipole expansion with Adam Rogers. See also http://www.research.att.com/~njas/sequences/A126275.

Review of our "Franklin Squares" paper - Math in the Media (AMS), April 2006, by Tony Phillips.

Peter Loly's Scientific Genealogy (Physics in Canada, July/August 200, 60(4), 226.)
ARTWORK from research work . Cover of article on using Gray code for Chinese patterns in The Oracle .
REPRINTS . PUBLICATIONS . Magic Squares . Magic Cubes

"The Expanding World of Physics at Manitoba", by R.D.Connor (a partial index by P.D.Loly)
Google link for Physics/History .

"What is Science?" . "What is Physics?" . "physics.org" . "Eric Weisstein's World of Physics" .

loly at cc dot umanitoba dot ca

A Magic Cube where the radius of the spheres goes as the cube root of the corresponding integer element (for another picture see: squareBalls6.bmp on this site)

Last update 2 November, 2008 by P. D. Loly