N-dimensional rigid body dynamics
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PubDate: July 2020
Teams: mtb design works, Inc.
Writers: Marc Ten Bosch
PDF: N-dimensional rigid body dynamics
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.
