Butterfly Effect

thingiverse

Butterfly Effect Colston DiBlasi 11/4/19 George Mason University Math 401 Mathematics Through 3D Printing I call this the Butterfly Effect because it that is another name for the Lorenz Attractor. The Lorenz attractor is an attractor that arises in a simplified system of equations describing the two-dimensional flow of fluid of uniform depth, with an imposed temperature difference, under gravity, with buoyancy, thermal diffusivity, and kinematic viscosity. It gets its nick name because the flap of a butterfly’s wings can change the whole thing. In Mathematica when I made this code, I got a generic formula then I continued to edit it and play with. Eventually, I got it to thicken up and added more loops around. This causes it to tighten up and make the print look better. I also thickened the size of the tubes to make the print more stable. I successfully printed this on the MakerBot Replicator (5th generation) with green ABS plastic. I used a 20% fill, which gave me a print time of 2 hours and 21 minutes. When printing this I made a square with rounded edges for the base that way the attractor would stand up. I combined those two stl files in MakerBot. I then waited about 5 minutes in order to give my print come time to cool. Then after removing the print I gently broke off the supports, giving me just the final print.