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Arnold's Trivium
1991 Arnold's Trivium
16
Problem 16
Problem 16
Source:
July 1, 2010
geometry
3D geometry
sphere
dodecahedron
icosahedron
Problem Statement
What fraction of a
5
5
5
-dimensional cube is the volume of the inscribed sphere? What fraction is it of a
10
10
10
-dimensional cube?
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