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A 4-Dimensional Peabody of Constant Width

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arxiv 2408.13241 v1 pith:RKLPR7E2 submitted 2024-08-23 math.MG

Isaac Arelio , Luis Montejano , Deborah Oliveros This is my paper
classification math.MG
keywords constantdimensionalwidthbodyclassicalconicsfocalnotion
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In this paper we present a unique 4-dimensional body of constant width based on the classical notion of focal conics.

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  1. A four-dimensional body of constant width

    math.MG 2025-10 conditional novelty 6.0 of 10

    A new 4D constant-width body built from a Reuleaux simplex; its 3D shadow has elliptical edges and volume about 0.420, close to the Meissner bodies' 0.419.

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