Stacking Cannonballs

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levels
6
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.

Details

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.

External Links

Cannonball Problem (Wolfram MathWorld)
Sphere Packing (Wolfram MathWorld)

Permanent Citation

Michael Schreiber
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​"Stacking Cannonballs"​
​http://demonstrations.wolfram.com/StackingCannonballs/​
​Wolfram Demonstrations Project​
​Published: September 28, 2007