Square-Diamond Landscape Implementation

Abstract

"Many implementations of the square-diamond algorithm have been created to further explore this type of fractal. The square-diamond fractal can be easily visualized by starting with four points. The midpoint of the resulting square creates diamonds; the midpoints of these diamonds create squares. This is repeated for the desired number of divisions. With Dr. Steven Wilkinson, I created a new implementation for the three- dimensional representation of this fractal using Wolfram Mathematica. The ""landscape"" function assigns random height values to every point to form a 3D graphic."