Imagine I have a n dimensional vector space, and I pick a random unit length vector inside of this space, I now want to continue adding unit length / norm vectors so that they are always x cosine distance away from each other.
I would like to write a formula to calculate how many such vectors I can fit in the n dimensional space.
I view this as a form of quantisation of the continuous vector space.
EDIT: due to being asked for more information.
I am not sure what more to add to the above information, so I will try and explain it in another manner - say we have a 3d space, which is essentially a sphere of radius 1. I insert a single vector of unit length into this sphere and now I keep adding vectors so that they are always x apart in terms of cosine distance - I would like know how many such vectors can fit into the sphere, but in reality I would like to know how this works in higher dimensions.