Isosceles tetrahedron and an equimomental system of a rigid body

The problem of equimomental systems of a rigid body is considered. It is shown that the system of four equal masses located at the vertices of an isosceles tetrahedron is equimomental to a given rigid body. A system of material points of equal masses located at the vertices of an isosceles tetrahedron, which is equimomental of cometary nuclei of 67P Churyumov-Gerasimenko, has been constructed.