List of the site's news added January 21, 2010
 The 5 enigmas published in 2008, each with a 100€ prize + bottle of
champagne, are today still unsolved!
Republished in 2009 in the Pour La Science
website , a new 6th enigma is added.
Sorry,
no, I myself do not have the solutions! Some interesting news (...but none
being a solution...) on these
difficult enigmas:
 On additivemultiplicative magic squares (magic when you add the cells, and again magic when you multiply the cells
!) :
 The new 6th enigma already mentionned above is "who
can construct a 5x5 addmult magic square?", meaning
that the smallest possible order
of addmult squares is still unknown
 First known addmult magic squares
of orders 27, 28, 30, 32 and of order as BIG as 1024!
Thanks to Joshua Zucker and W. Edwin Clark, USA, for their
checking of my squares
 Including these new found squares, updated
table of known addmult magic squares, and updated
downloadable files among them the full big square of order 1024
 Three historical precisions on addmult squares:
 Walter W. Horner, the first author of this very interesting
kind of magic squares in 50's, was in 1966 a retired mathematics teacher of Pittsburgh,
Pennsylvania, USA. Sentence found in the Madachy's
book. Who can send me his portrait or more biographical information?
 In 1997, the Chinese team Yu Fuxi, Sun Rongguo
and Zhang Guiming published the first known addmult
magic square of order 24. Thanks to Zhu Lie, China, who
informed me of this paper!
 Results from Lee Morgenstern, USA:
 First know 4x4 nearlybimagic
square with 18 correct sums, and mathematical proof that a 4x4 magic
square can't be semibimagic
 Exhaustive computing search proving that his 6x6 bimagic
square initially found in 2006 is THE smallest
possible 6x6 bimagic square.
This also means that if the Enigma
#2 (5x5 bimagic square) is impossible, then the smallest possible
bimagic square (of any order) is his 6x6 square of 2006:
72

18

17

16

49

47

13

52

36

5

50

63

38

35

7

66

15

58

20

53

34

39

69

4

55

1

57

56

26

24

21

60

68

37

10

23

 Results from Li Wen, China:
 Panbimagic squares of orders 77, 91, 125 using
consecutive integers. Before them, the square
of order 36, done by Su Maoting in 2006, was the only known normal
panbimagic square.
 First known panTRImagic square, meaning that all its broken diagonals
are trimagic!!! Nonnormal = using nonconsecutive integers. And this big square of order 396 is also a PENTAmagic
square!!!

New paper published in Statistical Papers written by George P.
H. Styan, Christian Boyer and Ka Lok Chu
 Some comments on Latin squares and on GraecoLatin squares, illustrated
with postage stamps and old playing cards, Vol. 50, N 4, 2009, pages
917941, http://www.springerlink.com/(...)
 My
three papers published in The Mathematical
Intelligencer can be ordered through the Internet, and their first page
can be freely seen:
 Some Notes on
the Magic Squares of Squares Problem, Vol. 27, N 2, 2005, pages 5264, http://www.springerlink.com/(...)
 Sudoku's French ancestors, Article and Problems, Vol. 29, N 1,
2007, pages 3744,
http://www.springerlink.com/(...)
 Sudoku's French ancestors, Solutions to the Problems, Vol. 29,
N 2, 2007, pages 5963, http://www.springerlink.com/(...)
 On my several
papers published in Pour La Science
(the French edition of Scientific American), three can be ordered
only 1€ each! through the Internet, and their beginning can
be freely seen:
(my
other papers can't be seen, their
archives before 2004 being not yet online)
 Les Ancêtres Français du Sudoku, N°344, June 2006, pages 811, http://www.pourlascience.fr/(...)
and
their solutions, same issue, page 89, http://www.pourlascience.fr/(...)
 Enigmes sur les Carrés Magiques, Dossier N°59, AprilJune 2008, pages 2225, http://www.dossierpourlascience.fr/(...)
 Les Nombres Taxicabs, Dossier N°59, AprilJune 2008, pages
2628, http://www.dossierpourlascience.fr/(...)
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