Butterfly Effect

thingiverse

The Butterfly Effect is a term that comes from the Lorenz Attractor, which arises in a simplified system of equations describing the two-dimensional flow of fluid with uniform depth and an imposed temperature difference. The attractor's nickname "Butterfly Effect" is due to its sensitivity to initial conditions, where even a small change can drastically alter the entire system. While working on this project in Mathematica, I encountered a generic formula that I continued to edit and refine until it produced the desired result. As I added more loops and increased the tube thickness, the print began to take shape and became more stable.