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7
votes
Grid with nice mathematical properties
I don't really understand what you want but what about using a geodesic sphere? Then no more than 6 cells meet at any point.
12
votes
why most of the angles are right
Let the root system be $v_1$, …, $v_n$ with all elements normalized to be length $1$. So $\langle v_i, v_i \rangle =1$, we have $\langle v_i, v_j \rangle \leq - \cos (\pi/3) = -1/2$ for at least $n$ p …