Differential Geometry and Geometric Structures
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Students' Work: Confocal Quadrics


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.
The image shows one surface from each family.

Created by Thomas Machinek (2010) using POV-Ray - The Persistance of Vision Raytracer.

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

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Last modified on February 18th, 2016.