How to evenly distribute points on a sphere more effectively than the canonical Fibonacci Lattice

Mapping the Fibonacci lattice (aka Golden Spiral, aka Fibonacci Sphere) onto the surface of a sphere is an extremely fast and effective approximate method to evenly distribute points on a sphere. I show how small modifications to the canonical implementation can result in notable improvements for nearest-neighbor measures. 

Figure 1. A simple modification to the canonical Fibonacci lattice can result in an improvement of up to 8.

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