Koltsov3 Cayley Graph Explorer\(\mathcal S_n\) around the identity Β· type I, \(S=(1,3)\)
\(n\) = 5   (\(|\mathcal S_n|=\) 120)
Click a node to reveal its neighbours \(I,K,S\); in hyperbolic mode the clicked node recenters so its locale spreads out. Dashed edges are cycle edges (a move onto an already-placed node). Scroll = zoom, drag = pan.
Cayley graph \(\Gamma(\mathcal S_n; I,K,S)\) 1 node Β· 0 edges
I K S cycle
Selected nodeidentity
Generatorsinvolutions Β· self-inverse