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A new perspective on taxicab conic sections (2207.07865v1)

Published 16 Jul 2022 in math.MG

Abstract: We explore taxicab conic sections from the perspective of slicing taxicab cones by planes, as opposed to the more well-studied approach from the perspective of distance formulations. After establishing a significant amount of structural framework, a complete characterization of the resulting taxicab conic sections is established, and a number of special cases are explored.

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