The purpose of this project is to randomly generate a 2D fractal landscape and create a 3D projected image of the landscape. To implement this, we used the Diamond-Square Algorithm, which is commonly ...

Due to their previously discovered fractal nature, financial data patterns are self-similar when scaling up. New research shows that the most extreme events in financial data dynamics-reflected in ...

We live in a world of three-dimensional objects bounded by two-dimensional surfaces and outlined by one-dimensional lines. All in all, a comforting, intelligible, whole-number sort of world. Or do we?

Realistic landscapes can be generated with the midpoint displacement algorithm (see Section 9.6 in PJS). In one type, one begins with a flat square grid and an arbitrary (positive) displacement of the ...

Due to their previously discovered fractal nature, financial data patterns are self-similar when scaling up. New research shows that the most extreme events in financial data dynamics—reflected in ...