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The 24-dimensional greengrocer

The best way to stack oranges has been evident in markets around the world for centuries, but the mathematics of the problem is far from trivial. The solution for the 24-dimensional case is now within reach.

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Figure 1: Kissing... coins.


Figure 2: Orange arrangement.



  1. Cohn, H. & Elkies, N. Ann. Math. 157, 689–714 (2003).

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  2. Hales, T. Preprint at <> (1998).

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Stewart, I. The 24-dimensional greengrocer. Nature 424, 895–896 (2003).

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