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Jan 4, 2012 at 12:23 comment added fedja It doesn't matter for us whether it is 3,5,7, or any other odd number: there is no simplification or complication when going from one odd dimension $d>1$ to another, if that's what you meant. However, as I said, the odd dimension case is harder than the even one due to the square root popping up everywhere and the non-locality of the Radon transform.
Jan 4, 2012 at 2:24 comment added Joseph O'Rourke More affirmation of Klee's prowess as a problem-poser! May I ask: Is the essence of your proof in odd dimensions concentrated (in the intellectual sense) in $\mathbb{R}^3$?
Jan 4, 2012 at 2:00 history answered fedja CC BY-SA 3.0