Isomorphism

In mathematics, two objects are said to be isomorphic when one is just a "relabeling" of the other. Formally, an isomorphism is defined as a bijective homomorphism, and two objects are isomorphic when there exists an isomorphism between them. Most relevant to polytopes are isomorphisms between abstract polytopes.

For most practical purposes, two isomorphic objects may be considered the exact same, and mathematicians will often treat them as such.