{ "id":"eeeb2d01-8315-454e-b33f-3d6caa25db43", "title":"Finite subdivision rule [Wiki]", "authors":["Moeid Heidari","Denis Gorbunov"], "category": "Mathematics", "topic":"Polygon Division Methods", "subTopic":"Finite Subdivision Rule", "summary":"Lorem Ipsum is simply dummy text of the printing and typesetting industry...", "tags":["tag1","tag2","tag3"], "content":"# Finite subdivision rule\n In mathematics, a finite subdivision rule is a recursive way of dividing a polygon or other two-dimensional shape into smaller and smaller pieces. Subdivision rules in a sense are generalizations of regular geometric fractals. Instead of repeating exactly the same design over and over, they have slight variations in each stage, allowing a richer structure while maintaining the elegant style of fractals.[1] Subdivision rules have been used in architecture, biology, and computer science, as well as in the study of hyperbolic manifolds. Substitution tilings are a well-studied type of subdivision rule." }