Rotating surface of constant negative curvature
Model 386
Description
Rotating surface of constant negative curvature, hyperboloid type. Plaster.
Additions
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
References
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.