What Is the Shape of a Mylar Balloon?

DOI10.2307/2975161zbMath0847.49030OpenAlexW4245596162MaRDI QIDQ4859608

William H. Paulsen

Publication date: 8 February 1996

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2975161

zbMATH Keywords

shape optimizationmylar balloons

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Optimization of shapes other than minimal surfaces (49Q10) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (7)

Profiles of Inflated Surfaces ⋮ Equilibrium shapes of inflated inextensible membranes ⋮ The Polar Moment of Inertia of the Solid Mylar Balloon ⋮ New Geometrical Applications of the Elliptic Integrals: The Mylar Balloon ⋮ Critical curves for the total normal curvature in surfaces of 3-dimensional space forms ⋮ The shape of a sausage: a challenging problem in the calculus of variations ⋮ THE FILLED INELASTIC MEMBRANE: A SET OF CHALLENGING PROBLEMS IN THE CALCULUS OF VARIATIONS

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