The Möbius phenomenon in generalized Möbius-listing surfaces and bodies, and Arnold's cat phenomenon

DOI10.32513/asetmj/1932200812zbMath1489.51001OpenAlexW4285325630MaRDI QIDQ2139458

Ilia Tavkhelidze, Paolo Emilio Ricci, Johan Gielis

Publication date: 17 May 2022

Published in: Advanced Studies: Euro-Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32513/asetmj/1932200812

zbMATH Keywords

regular polygonsPoincaré's recurrence theoremgeneralized Möbius-listing bodies and surfacesGielis transformationsMöbius phenomenon

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Möbius geometries (51B10) Knot theory (57K10)

Cites Work

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• On some properties of ribbon links generated by generalized Möbius-Listing surfaces \(GML_m^n\)
• Elastic strips
• Analytic representation of generalized Möbius-Listing's bodies and classification of links appearing after their cut
• About some geometric characteristics of the generalized Möbius–Listing surfaces
• Weak Chaos and Quasi-Regular Patterns
• About Some Methods of Analytic Representation and Classification of a Wide Set of Geometric Figures with “Complex” Configuration
• The General Case of Cutting GML Bodies: The Geometrical Solution

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