Classification of equiangular lines with fixed angle $\arccos (1/(1+2\sqrt{2}))$

Theodore Gossett, Zilin Jiang, Adam Teets +1

We determine the maximum number $N_{\alpha }(d)$ of equiangular lines with fixed angle $\arccos \alpha$ for $\alpha =1/(1+2\sqrt{2})$ in $d$-dimensional Euclidean space: $2,3,4,6,8,10,14,15,16,17,18,20…