On a Discrete Version of the Mohr-Mascheroni Theorem

The Mohr-Mascheroni theorem is one of the most interesting results concerning ruler and compass constructions. It asserts that, as long as the objects that one wants to construct are points, the full power of the Euclidean tools is in fact not needed. Here, Munteanu and Munteanu introduce a new geometric tool called n-compass and show that the famous theorem of Mascheroni and Mohr remains valid if the traditional compass is replaced by the newly introduced tool.