Given a sphere, find the maximum number of points can be placed on the surface of the sphere such that all are equidistant from each other. Explain the solution.
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The maximum number of mutually equidistant points in is . Therefore, the maximum number of equidistant points in is 4. As it happens, we can place these 4 points on a sphere. Therefore, the maximum number of equidistant points on a sphere is also
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