Together with two other students, we conducted research on a mathematical problem. We study geodesics in planes with respect to various distance functions. As an application, we show that for any interior point of a Euclidean triangle, there exists a metric on R n with respect to which this point becomes the barycenter of the triangle. We also briefly discuss an extension to the case of positive definite matrices.
The paper was published in Alabama Journal of Mathematics Volume 48(1) (2025), 9–16.
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