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## Main Question or Discussion Point

What is the minimum number of disks required to perfectly cover a sphere with a radius k number of times the radius of the disks?

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What is the minimum number of disks required to perfectly cover a sphere with a radius k number of times the radius of the disks?

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1/0.

HallsofIvy

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Werg22, he said "sphere", not "ball".

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Thanks Wergs22 and HallsofIvy,

...but I was looking for a solution more akin to the disk covering problem http://mathworld.wolfram.com/DiskCoveringProblem.html" [Broken] but for a sphere rather than the complex plane extended over a sphere. Maybe if we consider the number of steradian needed to cover a sphere?

As an aside, the Riemann Sphere brings up another question... Is there a 3 dimensional complex space where the traditional complex plane has an orthogonal counterpart sharing the same Real axis?

...but I was looking for a solution more akin to the disk covering problem http://mathworld.wolfram.com/DiskCoveringProblem.html" [Broken] but for a sphere rather than the complex plane extended over a sphere. Maybe if we consider the number of steradian needed to cover a sphere?

As an aside, the Riemann Sphere brings up another question... Is there a 3 dimensional complex space where the traditional complex plane has an orthogonal counterpart sharing the same Real axis?

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