Fermat point for a triangle in three dimensions using the taxicab metric |
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| Authors: | J.R. Hanson |
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| Affiliation: | 1. Department of Mathematics and Statistics, James Madison University, Harrisonburg, VA, USAhansonjr@jmu.edu |
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| Abstract: | This article explores the process of finding the Fermat point for a triangle ABC in three dimensions. Three examples are presented in detail using geometrical methods. A delightfully simple general method is then presented that requires only the comparison of coordinates of the vertices A, B and C. |
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| Keywords: | Non-Euclidean geometry Fermat point of a triangle ABC taxicab metric |
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