A Note on Generalized Möbius-Listing Bodies
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Authors
Johan Gielis1, 2, *, Ilia Tavkhelidze3
1
Department of Bioscience Engineering, University of Antwerp, Antwerp, Belgium
2
Genicap Beheer B.V., Tilburg, The Netherlands
3
Department of Mathematics, Faculty of Exact and Natural Sciences, Tbilisi State University, Tbilisi, Georgia
*
Corresponding author. Email: johan.gielis@uantwerpen.be
Corresponding Author
Johan Gielis
Article History
Received 20 April 2023Revised 2 July 2023
Accepted 20 October 2023
Available Online 29 November 2023
- DOI
- https://doi.org/10.55060/s.atmps.231115.003
- Keywords
- Analytic representation
Möbius-Listing bodies
Möbius phenomenon - Abstract
Generalized Möbius-Listing surfaces and bodies generalize Möbius bands, and this research was motivated originally by solutions of boundary value problems. Analogous to cutting of the original Möbius band, for this class of surfaces and bodies, results have been obtained when cutting such bodies or surfaces. In general, cutting leads to interlinked and intertwined different surfaces or bodies, resulting in very complex systems. However, under certain conditions, the result of cutting can be a single surface or body, which reduces complexity considerably. These conditions are based on congruence and rotational symmetry of the resulting cross sections after cutting, and on the knife cutting the origin.
- Copyright
- © 2023 The Authors. Published by Athena International Publishing B.V.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (https://creativecommons.org/licenses/by-nc/4.0/).
Cite This Article
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TY - CONF AU - Johan Gielis AU - Ilia Tavkhelidze PY - 2023 DA - 2023/11/29 TI - A Note on Generalized Möbius-Listing Bodies BT - Proceedings of the 1st International Symposium on Square Bamboos and the Geometree (ISSBG 2022) PB - Athena Publishing SP - 31 EP - 39 SN - 2949-9429 UR - https://doi.org/10.55060/s.atmps.231115.003 DO - https://doi.org/10.55060/s.atmps.231115.003 ID - Gielis2023 ER -
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