IFS - Iterated Function System

thingiverse

This STL file was created for MATH 493: Math Through 3D Printing at George Mason University in Spring 2016. It features an Iterated Function System (IFS) with a quadrilateral base. The IFS was generated by modifying the parameters of the .scad file, resulting in a distinct pattern that the IFS converges to. By adjusting the polygon command, you can change the base shape of the IFS. IFSs are utilized for constructing fractals. They consist of a finite set of contraction mappings on a complete metric space. A well-known example of an IFS is the Sierpinski Triangle. These files enable users to create their own unique IFS designs. Note that the .scad file does not have identical parameters as were used to print the STL file. This project was based on work done by Evelyn Sander at George Mason University in 2016, Jim Kelly from Centre College, and code written by Torsten Paul in 2015. Anneliese Slaton April 5, 2016 Print Settings: Printer Brand: MakerBot Printer: MakerBot Replicator (5th Generation) Rafts: Doesn't Matter Supports: Yes Resolution: 0.25 Notes: Supports must be left on to ensure the object lies flat on a table. The print took approximately four hours. Designing This Object: Alter each parameter individually to observe how they affect the IFS. Make sure all levels are in contact, so it prints as one cohesive object.