Cube Complexes and Robotics

Mr. Daniel Gulbrandsen
Graduate Teaching Assistant
University of Wisconsin – Milwaukee

“A robotic snake is a two dimensional figure depicting possible movements of a robotic arm subjected to certain simplifying conditions. In this talk we will investigate a method to determine the most efficient way to move the robotic arm from one position to another. As it turns out the algorithm makes extensive use of the geometry of cube complexes. Specifically, the algorithm will rely on CAT(0) cube complexes. No prior knowledge of CAT(0) geometry or robotics will be assumed.”