Non-Ideal Fixed Points in Self-Repairing 3D Printers

Goal: Prove mathematically that a printer with 2 non-ideal timing pulleys on the x-axis and y-axis can not achieve self-repair without feedback.

This work is based on Renzo’s Ph.D. thesis, which develops a theory for self-repairing 3D printers. In previous work, it was proven that a printer with a single damaged timing pulley can achieve self-repair without the need for feedback using an iterative method.

In this project, we aim to prove that, in most cases, when two pulleys are damaged, self-repair is not possible without the help of feedback.