Profiles of Inflated Surfaces

DOI10.1142/S140292511000057XzbMath1200.53008arXiv0907.5057OpenAlexW2052685008MaRDI QIDQ3161575

Jean-Marc Schlenker, Igor Pak

Publication date: 15 October 2010

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.5057

zbMATH Keywords

convex polyhedrongeodesic distanceMylar ballooninflated surfaceshort embedding

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Surfaces in Euclidean and related spaces (53A05) Isoperimetric problems for polytopes (52B60)

Cites Work

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• Isometric deformations of compact hypersurfaces
• Volume increasing isometric deformations of convex polyhedra
• The Mylar Balloon Revisited
• What Is the Shape of a Mylar Balloon?
• New Geometrical Applications of the Elliptic Integrals: The Mylar Balloon

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