Differential Geometry and Geometric Structures
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Students' Work: Planar Sections of a Torus


The intersection of a torus and a plane parallel to its axis is called a spiric section. These curves were first considered by the Greek mathematician Perseus. Among these curves are the Cassini ovals and the lemniscate of Bernoulli.

Created by Elisabeth Zach (2015) 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.