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How do I find the correct distance spacing for distributing equidistant points on a sphere of a given diameter?

I don't need to fill the sphere with equidistant points. I just need less than a hemisphere. Lets say around 100 points packed together at equidistant distances between 0.1 inches and 0.2 inches on a sphere with a diameter of 1.25 inches. The spacing cannot vary more than 0.001".

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For some ready-to-use code (with a demo, see below), you can use the Fibonacci algorithm. (Click on the $</>$ sign at the top of that page to see the code.)

demo by Jim Bumgardner

Fibonacci algorithm: A fast method of producing an arbitrary number of equally distributed points around a sphere. This is accomplished by drawing a fibonacci spiral (similar to sunflower seed pattern) that maintains constant surface area.

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  • $\begingroup$ I have seen all those approaches. I am not a mathematician. I am a design engineer. I cannot see how those approaches can generate actual numbers for like what I have in my question. $\endgroup$ – Jason Dec 6 '18 at 21:48
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    $\begingroup$ @Jason: The code produces actual numbers - how else could it plot them? If you have questions about how to implement the algorithm, some other site would be better - this site is about research mathematics and people generally write for an audience of mathematicians. $\endgroup$ – Nate Eldredge Jan 5 '19 at 23:08

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