Distance geometry and geometric algebra

@article{Dress1993DistanceGA,
  title={Distance geometry and geometric algebra},
  author={A. Dress and Timothy F. Havel},
  journal={Foundations of Physics},
  year={1993},
  volume={23},
  pages={1357-1374}
}
As part of his program to unify linear algebra and geometry using the language of Clifford algebra, David Hestenes has constructed a (well-known) isomorphism between the conformal group and the orthogonal group of a space two dimensions higher, thus obtaining homogeneous coordinates for conformal geometry.(1) In this paper we show that this construction is the Clifford algebra analogue of a hyperbolic model of Euclidean geometry that has actually been known since Bolyai, Lobachevsky, and Gauss… Expand
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