Stacking Cannonballs

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You can stack more spheres on a square array of spheres than on a triangular arrangement of spheres. The packing density, however, will be the same.

Contributed by: Michael Schreiber (March 2011)
Open content licensed under CC BY-NC-SA



The related cannonball problem is to stack a square number of spheres into a square pyramid. The solution is to pack 4900 spheres in a pyramid with side length 24.

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