A polygon is plane figure bounded by line segments.
The figure shown above is a regular pentagon. It is a convex five-sided polygon. It is called a pentagon because it has five sides. It is called regular because all sides have equal length and all interior angles are equal.
A polyhedron is a solid figure bounded by plane polygonal faces. Two adjacent faces intersect at an edge and each edge joins two vertices.
The polyhedron shown above is a pyramid with a square base. It has 5 vertices, 8 edges and 5 faces. It is a convex polyhedron.
The figure above is a non-convex polyhedron.
A convex polyhedron is a finite region bounded by planes, in the sense that the region lies entirely on one side of the plane.
A regular shape can be a polygon. A polygon is regular if all of its sides are the same length and all of its angles have the same measure.