You have a sphere, the points on the surface of which can be colored white or black. You are told that exactly 12% of all the points are colored black. Prove it is always possible to construct a cuboid within the sphere that has vertices on the surface of the sphere, such that none of the vertices are black.
Source: Unknown
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Zach Marinovhttps://etonstem.com/author/zach

Zach Marinovhttps://etonstem.com/author/zach

Zach Marinovhttps://etonstem.com/author/zach

Zach Marinovhttps://etonstem.com/author/zach
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