MULTIMAGIE.COM - November 2007 news

List of the site's news added November 6, 2007

Death on July 7th 2007 of John R. Hendricks, Canada, the magic "tesseracts" master. I had been pleased to have dedicated to him in 2003 my multimagic hypercubes, the first known multimagic "tesseracts".

Two impressive results after a joint work of Jaroslaw Wroblewski, Poland, and Hugo Pfoertner, Germany:

"Better late than never".
In The American Mathematical Monthly, October 2007, my SOLUTION OF A PROBLEM PROPOSED 66 YEARS AGO in this same magazine (problem E 496 published in 1941 by Royal Vale Heath, USA)

smallest possible magic square of consecutive triangular numbers and its expanded solution with my thanks to Sebastião A. da Silva, Brazil, Doug Hensley and Douglas B. West, USA, George P. H. Styan and Evelyn Matheson Styan, Canada.

Coincidence: in this same issue of The American Mathematical Monthly, paper "Multimagic squares" by Harm Derksen, Christian Eggermont, and Arno van den Essen, USA/Netherlands. See the page on Highly multimagic squares where this interesting paper -draft initially written in 2005- was already presented here since January 2006 : some criticism on their paper is added.
And again in the same issue of the Monthly, bimagic square of order 13 by Chen Qinwu, China, already presented here since April 2006

New best known pandiagonal multiplicative magic squares of orders 8, 9, and 10, 12, 14 constructed by a joint work of Jaroslaw Wroblewski, Poland, and me.
Look also at the updated records table.
New page on the smallest additive-multiplicative magic square problem: orders 5, 6, and 7 are unknown!
Add-mult semi-magic squares of orders 4, 5, 6 by Lee Morgenstern, USA, including this nice add-mult nearly magic square of order 5:

New bimagic squares of orders 10 and 12, by Pan Fengchu, China
Search of a 3x3 magic square having at least 7 squared integers, by Landon Ravern, USA. Several ranges of center cells were tried, without any success. His Windows application can be downloaded, and used for any other range.
Old 4x4 pandiagonal magic square of primes, published in 1914 by Charles Shuldham, USA, added in the brief history of magic squares of primes.

http://www.primepuzzles.net/puzzles/puzz_412.htm
Thanks to Carlos Rivera, Mexico, to have asked in his website my difficult problem of a 3x3 semi-magic square of cubes.

Thanks to Noel Flower, New Zealand, to have reported errors on the children of Andrew Frost (1819-1907). His biography is now corrected.

The Mathematical Intelligencer, Vol. 29, N.1 and N.2, 2007.
My paper "Sudoku's French Ancestors" is published in two parts. It is the English version of my paper previously published in Pour La Science in 2006. Thanks to Chandler Davis, Canada, Michael Kleber and Ravi Vakil, USA.

Sciences & Avenir, August 2007, "Dingues de chiffres et chiffres dingues".
Thanks to David Larousserie for his paper on these three persons "mad of numbers":

??!!?? REMINDER of some of the most wanted problems on "small" objects, extracted from the updated Problems page.
Is it possible to construct, using distinct integers:

a 3x3 magic square of squares?
a 4x4 magic square of cubes? or 5x5, 6x6, 7x7, 8x8? (using distinct positive integers)
a 5x5 bimagic square?
a 5x5 additive-multiplicative magic square? or 6x6, 7x7? (new page on this problem, as said above)
a ?x?x? multiplicative magic cube using distinct integers < 364? (new progress mentioned above: it was still 416 in my previous update)