👉 In mathematics, an orthomorphism is a mapping that preserves all of the properties of an object. In other words, it is a function that maps one set to another such that for any two objects in the same domain, the resulting function has the same property as the original function. An example of an orthomorphic mapping is a bijection (also known as a one-to-one correspondence) between sets X and Y. For example, let X = {1, 2, 3}