Isometric Embeddings Between the Near Polygons $${\mathbb{H}_n}$$ H n and $${\mathbb{G}_n}$$ G n

Abstract

Let \({n \in \mathbb{N}\backslash \{0, 1, 2\}}\) . We prove that there exists up to equivalence one and up to isomorphism (n+1)(2n+1) isometric embeddings of the near 2n-gon \({\mathbb{H}_n}\) into the near 2n-gon \({\mathbb{G}_n}\).