List of the site's news added April 4th, 2006

• New research on multiplicative magic cubes (after the multiplicative magic squares presented in the previous updates). Among the results:
• the best known cube using smallest possible integers, maximum number used = 416.
  
• the two best known pandiagonal perfect cubes
• using smallest possible magic product = 89,518,183,823,250,314,294,722,560,000.
• using smallest possible integers, maximum number used = 24,992.
• and thanks to Edwin Clark, USA, for his checkings of all my multiplicative magic cubes!

• First known 6x6 bimagic square using distinct integers, by Jaroslaw Wroblewski, Poland. See also the updated table. An important and long-awaited result: first known example of a bimagic square smaller than the 8x8!
           

• First known pandiagonal bimagic square using consecutive integers, by Su Maoting, China. A lot of people (including me...) thought that this problem was perhaps impossible.
• A lot of first known bimagic squares, orders:
• 13, by Chen Qinwu-Chen Mutian, China, and ... independently, only 3 days later... by Jacques Guéron, France
• 14, by Chen Qinwu-Jacques Guéron
• 15, by Chen Qinwu
• 17 and 19, by Jacques Guéron
• 20, by Su Maoting
• ... and other bigger bimagic squares described in the new page on bimagic/trimagic squares from order 17 to 64
• Results of new studies on highly multimagic squares, from 9-multimagic to 14-multimagic squares, by Pan Fengchu, China.
• About multimagic series, nice compact mathematical proofs by Robert Gerbicz, Hungary:
• there is no tetramagic series for squares of order 15
• there is no tetramagic series for cubes of order 9

• Biography of Jacques Guéron (in French), by himself
• Biography of Charles Devimeux (in French)

• ??!!??  New open problems added in the Problems page:
• Is it possible to construct better multiplicative magic cubes than my cubes mentionned above? "Better" meaning with smaller constants.
• Is it possible to construct a 6x6 bimagic square using smaller distinct integers, or smaller magic sums S1 and S2, than the above Wroblewski's square?
• What is the smallest possible order of trimagic squares using distinct integers?
• Is it possible to construct a pandiagonal bimagic square of order < 32, using consecutive integers? (smaller order than the above Su Maoting's square)

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