Volume Computation for Meissner Polyhedra and Applications.
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| Title: | Volume Computation for Meissner Polyhedra and Applications. |
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| Authors: | Bogosel, Beniamin1 (AUTHOR) beniamin.bogosel@polytechnique.edu |
| Source: | Discrete & Computational Geometry. Jan2026, Vol. 75 Issue 1, p48-72. 25p. |
| Subjects: | Volume (Cubic content), Polyhedra, Geometric shapes, Volume measurements |
| Abstract: | The volume of a Meissner polyhedron is computed in terms of the lengths of its dual edges. This allows to reformulate the Meissner conjecture regarding constant width bodies with minimal volume as a series of explicit finite dimensional problems. A direct consequence is the minimality of the volume of Meissner tetrahedras among Meissner pyramids. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| Abstract: | The volume of a Meissner polyhedron is computed in terms of the lengths of its dual edges. This allows to reformulate the Meissner conjecture regarding constant width bodies with minimal volume as a series of explicit finite dimensional problems. A direct consequence is the minimality of the volume of Meissner tetrahedras among Meissner pyramids. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 01795376 |
| DOI: | 10.1007/s00454-024-00688-0 |
