Flexibility of curves on a single-sheet hyperboloid
Maksimović, Miroslav
Abstract
Hyperbolic towers are towers in the shape of a single-sheet hyperboloid, and they are interesting in architecture. In this paper, we deal with the infinitesimal bending of a curve on a hyperboloid of one sheet; that is, we study the flexibility of the net-like structures used to make a hyperbolic tower. Visualization of infinitesimal bending has been carried out using Mathematica, and some examples are presented and discussed.
Funding
174025 Problemi nelinearne analize, teorije operatora, topologije i primene
Author: Maksimović, Miroslav
Pages: 19-
27
doi: https://doi.org/10.1007/s10665-020-10048-5
M kategorija: M22
Vrsta rada:clanak u casopisu
Funding: 174025 Problemi nelinearne analize, teorije operatora, topologije i primene
Abstract
Hyperbolic towers are towers in the shape of a single-sheet hyperboloid, and they are interesting in architecture. In this paper, we deal with the infinitesimal bending of a curve on a hyperboloid of one sheet; that is, we study the flexibility of the net-like structures used to make a hyperbolic tower. Visualization of infinitesimal bending has been carried out using Mathematica, and some examples are presented and discussed.