List of the site's news added July 4, 2008
- Publication of my two papers, with the most intriguing unsolved problems.
Who can solve one (or several...) of them?
- Computation of new numbers of multimagic series
for squares by Michael Quist, USA: tetramagic and pentamagic series
for squares of order 16, trimagic series for squares of order 15. He also
confirmed the number of trimagic series for cubes
of order 9 previously computed by Gildas Guillemot, France.
- New page on the smallest tetramagic square
problem: it is now proved that its order is ≥ 20 (and ≤ 243).
- Interesting problem by Michael Cohen, USA, to appear in the Journal
of Recreational Mathematics: find a bimagic square of
order 5 in which all 12 row-column-diagonal sets of numbers are
distinct sets.
- Bimagic
squares are know for any order ≤ 64!
Thanks to Li Wen, China, with the first known bimagic
squares of orders 34, 37, 38, 41, 43, 46, 47, 53, 58, 59,
61, 62 filling the gaps of the last unknown orders.
- First known trimagic squares
of orders 24 and 40 and second known trimagic
square of order 16 by Li Wen, China (the first known
of order 16 was constructed in 2005 by Chen Mutian and Chen Qinwu)
- Numerous new results from Lee Morgenstern, USA:
- Two important historical precisions:
- a tetramagic square of order 256 was
constructed by Charles Devimeux, France, in 1983... far before
my tetramagic squares constructed
in 2001 (with André Viricel) and 2003. So these can no longer be considered as the first tetramagic
records...
- on the first known bimagic cube of order
25, big doubts on the paternity of John
R. Hendricks, Canada... This cube was more probably constructed by David M. Collison,
USA.
- Website of Christopher Henrich, USA, added in the links
- Thanks (Michel
Criton) for presenting in the Nov.-Dec. 2007 issue, page 2, my problem
of the best possible multiplicative magic cube: still unsolved! This
is also one of the problems later published in my Pour La Science
paper of April 2008, paper mentioned at the beginning of this page.
- Thanks (Maurice
Mashaal)
and (David
Larousserie)
for publishing in their January 2008 issues my solution
of the problem proposed 67 years ago in The American Mathematical Monthly.
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