<ul><li>A simple way to generate random points on a sphere is by generating random points in a cube until one falls inside the sphere, then normalizing it to push it to the sphere's surface.</li><li>To generate random points on the unit sphere, independent random values are generated on [-1, 1], and if the sum of their squares is less than or equal to 1, the normalized values are returned.</li><li>This approach is intuitive, with minimal dependencies compared to the more common method of generating n independent values from a standard normal distribution then normalizing.</li><li>While the accept-reject methods used in this approach may have varying runtimes, they are practical for most cases. The efficiency trade-offs and considerations in parallel computing and cryptography are also discussed.</li></ul>

A simple way to generate random points on a sphere

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