These scripts can be used to draw spheres and points on a sphere.

Random points on a sphere. points_on_sphere.py

Equally distance points on a sphere. points_on_sphere_distance.py

The points that are too close to other points are discarded.

this is the same figure as a gif

In this figure I plotted the discarded points in blue.

It is also possible to draw set of points with different colours https://www.redbubble.com/people/mmark94/works/101105660-random-points-on-a-sphere-2?asc=u

You can also remove the axis or the wireframe of the sphere

without the wireframe without the axis without the axis and frame

with very big points https://www.redbubble.com/shop/ap/101105414

Fibonacci spirals points on a sphere. spiral_on_sphere.py

https://www.redbubble.com/shop/ap/101104868 https://www.redbubble.com/shop/ap/101104514