Göttingen Collection of Mathematical Models and Instruments

Rotating surface of constant negative curvature

Model 386

W. DyckE V 21


Rotating surface of constant negative curvature, hyperboloid type. Plaster.


On the surface are four geodesic circles being only possible as closed lines of fixed side curvature on surfaces of fixed curvature measure. There are several geodesic lines: some lines (red) asymptotically wind around the gorge circle (blue), some lines cross it or return before crossing it (green).

Showcase of this model is Case number 39


Schilling, Martin(Hrg.): Catalog mathematischer Modelle, Leipzig(Verlag von Martin Schilling) 1911, 7.Auflage, Nr.229. p. 144.

Fischer, Gerd(Hrg.): Fotoband: Mathematische Modelle / Mathematical Models, mit 132 Fotografien, Braunschweig/Wiesbaden (Vieweg) 1986, picture(s) 83. .

Fischer, Gerd(Hrg.): Mathematical Models, Commentary, Braunschweig/Wiesbaden(Vieweg) 1986. .

Separataband M1 im Mathematischen Institut p. 53.