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arxiv: 1603.07269 · v1 · pith:WE476ZP4new · submitted 2016-03-23 · 💻 cs.CG

Congruence Testing of Point Sets in 4 Dimensions

classification 💻 cs.CG
keywords congruencesetsanglescheckedcoxeterdimensiondimensionaldimensions
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Congruence between two n-point sets in 4 dimension can be checked in O(n log n) time. On the way to establishing this result, we revisit several parts of 4-dimensional geometry, such as angles and distances between planes, Hopf fibrations, and Coxeter groups.

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