Given a triangle $ABC$, its Fermat-Torricelli point $T$ is the point such that the sums of distances $TA+TB+TC$ is a minimum. In this paper a special class of polygons (stars) is introduced and an analogue of the Fermat-Torricelli result is proved. The underlying idea is clearly inspired by the proof of the original result. Being an elementary Euclidean geometry paper, a figure would have been highly appreciated.

Reviewer:

Antonio M. Oller (Zaragoza)