# polytope, projection, extension complexity, convex polygon

## Extension complexity of (convex) polygons ★★

Author(s):

The extension complexity of a polytope is the minimum number for which there exists a polytope with facets and an affine mapping with .

**Question**Does there exists, for infinitely many integers , a convex polygon on vertices whose extension complexity is ?

Keywords: polytope, projection, extension complexity, convex polygon