If you can cope with a number close to 60000, start with an octahedron (or
possibly an icosahedron), then subdivide each triangle into four (by drawing
a new triangle with its vertices the midpoints of the edges of the original
triangle), then rescale the position of these midpoints onto the sphere
surface. This subdivision is then repeated.

If you need exactly 60,000 points, there are ways that I can see of doing
it, but they're not very nice.

-Chris

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