Articulating Space: Geometric Algebra for Parametric Design - Symmetry, Kinematics, and Curvature
@inproceedings{Colapinto2016ArticulatingSG,
title={Articulating Space: Geometric Algebra for Parametric Design - Symmetry, Kinematics, and Curvature},
author={Pablo Colapinto},
year={2016}
}Author(s): Colapinto, Pablo | Advisor(s): Peljhan, Marko | Abstract: To advance the use of geometric algebra in practice, we develop computational methods for parameterizing spatial structures with the conformal model. Three discrete parameterizations – symmetric, kinematic, and curvilinear – are employed to generate space groups, linkage mechanisms, and rationalized surfaces. In the process we illustrate techniques that directly benefit from the underlying mathematics, and demonstrate how they… Expand
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