👉 In mathematics, a homodromal transformation is a type of transformation that preserves the topology and orientation of a surface. In other words, it maps a surface to itself while preserving its shape. The term was introduced by Hermann Weyl in his book "Topological Groups and Lie Algebras" (1947). A homodromal transformation is characterized by two properties: it preserves the dimension of the surface under consideration, and it changes the orientation of the surface at
