Thanks! I shd have been more careful. What is a ``perfect'' magic cube? Trenkler's specimens have the 3n^2 ``rows'' and the 4 body diags magic. Is it possible to get (any of) the 6n ``two- dimensional'' (perhaps the 12 ``visible'', ``face'') diagonals magic? R. On Fri, 7 Mar 2008, Ed Pegg Jr wrote:
MathWorld Headline News Perfect Magic Cube of Order 5 Discovered By Eric W. Weisstein November 18, 2003--This week, German mathematics teacher Walter Trump and French software engineer Christian Boyer announced the discovery of a perfect magic cube of order 5, thus settling the long-standing question of the existence of such a cube. http://mathworld.wolfram.com/news/2003-11-18/magiccube/
Richard Guy <rkg@cpsc.ucalgary.ca> wrote: I have a question in UPINT, D15: ``Has anyone constructed a 5 x 5 x 5 magic cube, or proved its impossibility'' (just possibly asked by Rich Schroeppel?). I've recently downloaded a 2-page article by Maria'n Trenkler, An algorithm for making magic cubes, which was evidently published in Pi Mu Epsilon J, 12 #2 (Spring 2005) 105-106. It produces magic cubes of any order > 2. Am I the only person not to know about this? R.
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