Smallest limited vertex-to-vertex snakes of unit triangles (Q1818586)

The abstract states: ``A sequence \({\mathcal T}=\{T_1, T_2, \dots, T_n\}\) of regular triangles of unit side lengths is called a vertex-to-vertex snake if \(T_i\cap T_j\) is a common vertex of \(T_i\) and \(T_j\) when \(|i-j |=1\) and is empty when \(|i-j|>1\). A vertex-to-vertex snake of unit triangles is called limited if it is not a proper subset of another vertex-to-vertex snake of unit triangles. We prove that the minimum number of unit triangles which form a limited vertex-to-vertex snake is seven.'' In the Concluding Remarks: ``Conjecture 1. The minimum number of regular \(k\)-gons with unit side-lengths which form a limited vertex-to-vertex snake is 10 if \(k\) is large enough''.