Surfaces42 of 113
Hyperboloid of one sheet
string model; Shukhov tower, 1896
Tie threads between two rings, then turn the top ring. The straight threads sweep a curved surface: a cylinder, then a hyperboloid, then at half a turn a double cone. Two families of straight lines cover it, which is why towers and cooling stacks can be built from straight beams.
x²/a² + y²/a² − z²/c² = 1
On mathcurve.com as Hyperboloïde à une nappe
Elsewhere
2Work the library cites and does not hold: in copyright, never released as a file, or not a file at all. The cited shelf
- 1896
The first hyperboloid tower, a water tower made entirely of straight steel members. Two families of straight beams lean against each other and make a curved lattice.
Not yet checkedSuggested by an AI model, 2026-10-08
An AI reviewer had doubts, 2026-10-09: The holder's page says the tower "is the world's first diagrid hyperboloid structure", which supports the hyperboloid shape and the claim to be first. It never calls this tower a water tower and does not say it is made entirely of straight members, so those details in the note are not borne out.
- 1937
Cherrywood and string. Moore named the string models in the Science Museum, London, as the source: straight threads strung between two frames to make a curved surface you can see through.
Not yet checkedSuggested by an AI model, 2026-10-08
An AI reviewer had doubts, 2026-10-09: The shape entry shows how a string model makes the surface: "Tie threads between two rings, then turn the top ring." The record for the work gives only title, maker, year, kind and holder, so it says nothing about cherrywood, string, the Science Museum, Moore naming a source, or a hyperboloid, and the holder's page could not be read.