A homeomorphism, also called a continuous transformation, is an equivalence relation and one-to-one correspondence between points in two geometric figures or topological spaces that is continuous in both directions. Many forms observed in nature can be related to geometry. In accordance with classical geometry, the shapes that found in nature are consisting of lines and planes, circles and spheres, triangles and cones. These shapes actually are a powerful abstraction of reality, so we need primitive objects to give a form and understand the complex structure that exists in nature.
Art by Anatoly Fomenko (1945-) a professor of Math and Topology at Moscow State University
Fractal homeomorphisms
