We have square pyramid numbers
Square pyramidal number
Triangular number
Polygonal number
You also have centered cube numbers
Centered cube number
Also of course cube numbers are easily generalized to fourth power, fifth power etc which you could think of as "hypercube numbers"
I don't know of a "sphere number". It's more of a challenge, because how do you arrange them?
It's an interesting puzzle, not well understood, how many spheres you can pack into a sphere.
Proved optimal that you can pack 12 spheres into a sphere of radius 0.3445 into a sphere of radius 1. Optimal sizes known up to 12 spheres.
Sphere packing in a sphere
Square pyramidal number
Polygonal number
You also have centered cube numbers
Also of course cube numbers are easily generalized to fourth power, fifth power etc which you could think of as "hypercube numbers"
I don't know of a "sphere number". It's more of a challenge, because how do you arrange them?
It's an interesting puzzle, not well understood, how many spheres you can pack into a sphere.
Sphere packing in a sphere
About the Author
Robert Walker
Writer of articles on Mars and Space issues - Software Developer of Tune Smithy, Bounce Metronome etc.Studied at Wolfson College, Oxford
Lives in Isle of Mull
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