The cross ratio and Clifford algebras |
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Authors: | Jan Cieśliński |
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Institution: | 1. Instytut Fizyki, Uniwersytet w Bialymstoku, ul. Lipowa 41, 15-424, Bialystok, Poland
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Abstract: | Motivated by recent quaternionic approach of Bobenko and Pinkall to the complex cross ratio we presenta simple method to eva]uate the cross ratio in the Euclidean space? n identifying the space with vectors generating the Clifford algebraC(n). We apply the Clifford cross ratio to describe discrete analogues of orthogonal nets in? n . |
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