What is the Shape of a Cupola?

2021/11/05 by López, Rafael · 1 citation
#00A67 #49J35 #53A10 #FOS: Mathematics #History and Overview (math.HO)

paper · doi:10.48550/arxiv.2111.07920

Abstract

This article examines the shape of a surface obtained by a hanging flexible, inelastic material with prescribed area and boundary curve. The shape of this surface, after being turned upside down, is a model for cupolas (or domes) under the simple hypothesis of compression. Investigating the rotational examples, we provide and illustrate a novel design for a roof which has the extraordinary property that its shape, although natural, is modeled by a surface of revolution whose axis of rotation is horizontal.

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