2022/07/16 by Emily Frost, Frost, Emily, Dylan Helliwell +3
Engineering · #51M05 #51M15 #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #FOS: Mathematics #Mechanical Engineering and Vibrations Research #Metric Geometry (math.MG) #Robotic Mechanisms and Dynamics
paper · pdf · doi:10.48550/arxiv.2207.07865
openalex publication_date 2022/07/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.