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.
Plural polyhedrons or polyhedra
A three-dimensional geometric figure whose sides are polygons. A tetrahedron, for example, is a polyhedron having four triangular sides. ◇ A regular polyhedron is a polyhedron whose faces are all congruent regular polygons. The regular tetrahedron (pyramid), hexahedron (cube), octahedron, dodecahedron, and icosahedron are the five regular polyhedrons. Regular polyhedrons are a type of Archimedean solid.