The configuration space of \(n\)-tuples of equiangular unit vectors for \(n = 3\), \(4\), and \(5\) (Q1652945)

Summary: Let \(M_n(\theta)\) be the configuration space of \(n\)-tuples of unit vectors in \(\mathbb{R}^3\) such that all interior angles are \(\theta\). The space \(M_n(\theta)\) is an \((n - 3)\)-dimensional space. This paper determines the topological type of \(M_n(\theta)\) for \(n = 3\), \(4\), and \(5\).