Crime, he admitted, is a very complex phenomenon; it is a sort of polyhedron, of which every one sees a special side.
The division of a polyhedron ariseth from the bases upon which it standeth.
Synacral, sin-ak′ral, adj. having a common vertex, as faces of a polyhedron.
"polyhedron" is from the Greek polys (many) and hedra (seat).
Such a polyhedron (πολύς, many, ἕδρα, base or face) is known as a crystal.
The points thus obtained are evidently the vertices of a polyhedron with plane faces.