Polytope
A polytope is figure in geometry. It is a geometric object with flat sides, in any number of dimensions. A polygon is a polytope in two dimensions, a polyhedron in three dimensions, and so on. Sometimes the number of dimensions is shown as a number, as in a polyhedron being a 3-polytope or a tesseract a convex regular 4-polytope.
Polytope Media
First stellation of octahedron
First stellation of dodecahedron
Second stellation of dodecahedron
Third stellation of dodecahedron
Sixteenth stellation of icosahedron
First stellation of icosahedron
A polygon is a 2-dimensional polytope. Polygons can be characterised according to various criteria. Some examples are: open (excluding its boundary), bounding circuit only (ignoring its interior), closed (including both its boundary and its interior), and self-intersecting with varying densities of different regions.
The 5-cell (4-simplex) is self-dual with 5 vertices and 5 tetrahedral cells.
