Homotope is a mathematical term that is used to describe two objects that have the same shapes, but different sizes. Synonyms for homotope include homeomorphic, isomorphic, isoformal, shape-preserving, and topologically equivalent. Homeomorphic is the most commonly used synonym for homotope and refers to objects that can be continuously deformed into each other without losing their topological properties. Isomorphic is used more specifically in algebra and refers to objects that have the same structure and can be mapped onto each other bijectively. Similarly, isoformal means objects that have the same form or structure but may differ in size or orientation. Shape-preserving and topologically equivalent both refer to objects that maintain their shape and topological properties under certain operations.