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polyhedron
A 'hedron' from Latin. Hence 'polyhedron' a many sided three dimensional object.
An irregular polyhedron if it has plane faces. If not, then there usually will not be a name for it.
a polyhedron * * * * * That is only if it is bounded by plane faces. A sphere, for example, is a three dimensional shape but is not a polyhedron: it is a solid shape.
3d shapes with plane faces are called polyhedra (singular = polyhedron). The minimum number of vertices is 4, there is no maximum.