(A.Khachaturyan, 10--11) a) All vertices of a pyramid lie on the facets of a cube
but not on its edges, and each facet contains at least one vertex. What is the
maximum possible number of the vertices of the pyramid?
b) All vertices of a pyramid lie in the facet planes of a cube but not on the lines
including its edges, and each facet plane contains at least one vertex. What is the
maximum possible number of the vertices of the pyramid?
geometry3D geometrypyramidgeometry proposed