“N-Dimensional Rigid Body Dynamics” by Bosch
Conference:
Type:
Title:
- N-Dimensional Rigid Body Dynamics
Session/Category Title: Characters and Rigid Bodies
Presenter(s)/Author(s):
Abstract:
I present a formulation for Rigid Body Dynamics that is independent of the dimension of the space. I describe the state and equations of motion of rigid bodies using geometric algebra. Using collision detection algorithms extended to nD I resolve collisions and contact between bodies. My implementation is 4D, but the techniques described here apply to any number of dimensions. I display these four-dimensional rigid bodies by taking a three-dimensional slice through them. I allow the user to manipulate these bodies in real-time.
