Differential Geometry and Geometric Structures
Main Page | Staff | Hans Havlicek | Visualisation | Confocal Quadrics

Students' Work: Confocal Quadrics

Illustration

The quadrics of a confocal system fall into three families: ellipsoids, one-sheeted hyperboloids, and two-sheeted hyperboloids. Surfaces from different families intersect each other orthogonally. Their intersection curves are curvature lines.
An ellipsoid and its curvature lines near one of the umbilic points are displayed.

Created by Roman Hager (2010) using POV-Ray - The Persistance of Vision Raytracer.

Change Image


first previous 28/249 next last

Archimedean Solids
Cockles
Confocal Quadrics
Dupin Cyclides
Elliptic Linear Congruence
Geodesics on a Cone
Helices on a Helicoid
Hyperosculating Spheres
Impossible Objects
Klein Bottle
Knots
Menger Sponge
Möbius Tetrahedra
Pascal's Pyramid
Pipe Surfaces
Planar Sections of a Torus
Platonic Solids
Prince Rupert's Cube
Saddle Surfaces
Schwarz Lanterns
Snails
Spherical Loxodromes
Stationary Points
Striction Curves

Quick Links


Sitemap

External Links


POV-Ray

Copyright © 1996-2016 by Differential Geometry and Geometric Structures. All rights reserved.
Last modified on February 18th, 2016.