Locally Minimal Trees in n-Normed Spaces

The locally minimal trees in normed spaces $({\mathbb{R}}^2, \rho)$ , where the unit circle ${x \in {\mathbb{R}}^2 | \rho (x)=1}$ in the norm ρ coincides with the regular m-gon (m = 2n) inscribed in the Euclidean unit circle S ¹, are completely classified.