List of the site's news added October 11, 2010
- Martin Gardner, the master of mathematical
recreations, unfortunately died May 22, 2010. He was 95. See for example
The New York Times.
In 2003 with
Walter Trump, we had been happy to be the first to solve
a Martin Gardner's problem posed in Scientific American in 1976: “Is there a perfect magic
cube of order 5? No one knows”. Orders 3 and 4 were previously proved impossible.
Fermat worked also on the subject, sending to Mersenne in
1640 a nearly-perfect magic cube of
A few weeks after our discovery, we were very proud to receive
a letter from Oklahoma: Martin Gardner sent us some kind
handwritten words, now scanned with emotion.
My enigma #1 is inspired
by one of his other problems, but not yet solved: construct
a 3x3 magic square of squares. The enigma should be easier,
only 7 squared integers are asked...
- Here are the other most interesting results received on enigmas,
but enigmas still unsolved:
- #1 (3x3 magic square using 7 distinct squared integers),
Lee Sallows constructed a 3x3 magic square
having 7 distinct squared... Gaussian integers!
- #2 (5x5 bimagic square), Michael Quist
found a 5x5 nearly bimagic square
with 23 of 24 sums correct. With smaller integers and sums than the square
previously found by Lee Morgenstern, one year earlier.
- #3 (3x3 semi-magic square of cubes), Lee Morgenstern proposed
two new methods which may perhaps solve
- #4b (6x6 magic square of cubes), best
possible 6x6 semi-magic square of cubes, by Toshihiro Shirakawa,
confirmed by Lee
- #4c (7x7 magic square of cubes), 7x7
nearly-magic square of cubes, with one magic diagonal, by Toshihiro Shirakawa
- #6 (5x5 add-mult magic square), Jérôme Crétaux, famous for cracking the French e-health insurance card, found a 5x5
add-mult semi-magic square
- Toshihiro Shirakawa found other excellent results:
- Many thanks to
Ed Pegg Jr, David Larousserie, Christoph Pöppe, Philippe
Ribeau, Michel Criton, Jean Moreau de Saint-Martin,
Jean-Paul Delahaye, Roger Mansuy, with
and others... for their announcements of the twelve enigmas and prizes
- Because the statistics on multimagie.com clearly show that the pages in
English are much more seen than the pages in French, the default
language of www.multimagie.com is now English. Both French and German
pages are always available, but if you want to have your language directly
selected, you now have to enter with:
- Anyway, it is always possible to change the language at any
time during your connection, simply clicking on the flag or
in the banner.
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