Gucci Armor 2041 Gucci Armor 2041 (Complex Function Projection) Lucas Newman George Mason University - Math 401 - Mathematics Through 3D Printing Dec 3rd, 2021

A Riemann surface is a one-dimensional complex manifold, which can be understand as a deformed version of the complex plane and/or a two-dimensional real surface. The main interest in Riemann surfaces is that holomorphic functions, complex-valued functions of one or more complex values that is at every point in its domain complex differentiable in a neighborhood of the point, may be defined between them. These surfaces were first studied by and named after Bernard Riemann.

This Riemann surface was made by projecting by a complex function into 3 dimensions. I did this using a parametrization, which I've made available in the code. The key idea is to accept only the real or imaginary part of the function for z plot, which in this case was the imaginary part.

Printing was a little tricky because the three legs of the "armor" are not connected, except infinitesimally in the center. I eventually added a pillar through the center to help, after several failed attempts to skate by on the thick layering alone.