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A solid with flat faces and straight edges.

A solid whose faces are all polygons.
If each face is exactly the same size and shape and the same number of faces meet at each vertex then the polyhedron is said to be regular.
The only regular polyhedra are the Platonic Solids.

A finite set of polygons arranged so that:

• Any two polygons only meet along at a corner or an edge.
  
• Each polygon side meets another polygon side at an edge.
  
• A path can be drawn on the polygonal surface from the interior of any polygon to the interior of any other.
  
• Given a subset P_V of the polygons which meet at the vertex V, then a path can be drawn in P_V which connects any p to q where p,q ∈ P_V.