For triangle, the angle between lines drawn from vertices to its center is 120 degrees.
I have already read the answer to question Angle between lines joining tetrahedron center to vertices and there the angle is approximately 108,5 degrees
I am principally interested to know what happens in 4-dimensional case, what's the angle there? I have a hypothesis for an interaction model in 4D, and would appreciate an answer as it allows me to calculate whether the hypothetical structure is going to be stable or decay because of its constituents.
No need to answer this, but out of curiosity: I understand simplexes exist in even higher dimensions, so when the number of dimensions increases, is the angle going only nearer and nearer to 90 degrees, or even below it? Is there a generic formula to this?