The point (also called monad or monon). is the only possible 0-polytope or polyon. If the nullitope is not considered, this is the simplest possible polytope overall, as it has no other lower-dimensional elements. It appears as the vertices in all higher polytopes.
|Bowers style acronym||Point|
|Measures (edge length 1)|
|Number of external pieces||1|
|Level of complexity||1|
|Abstract & topological properties|
|Symmetry||A0, order 1|
A point is simultaneously a 0-simplex, a 0-hypercube, and a 0-orthoplex. Furthermore, a point is the pyramid of the nullitope.
Somewhat contrary to intuition, the point is technically asymmetrical, as its only automorphism is trivial.
Coordinates for a point are simply:
- ↑ Inchbald, Guy. http://www.steelpillow.com/polyhedra/ditela.html
- Bowers, Jonathan. "Zero Dimensional Shapes".
- Wikipedia Contributors. "Point (geometry)".