Differential Geometry and Geometric Structures
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Students' Work: Geodesics on a Cone


The generators of a cone of revolution constitute one family of geodesics. Any other geodesic has a plane of symmetry. On such a geodesic there is a unique point at minimal distance from the vertex. The picture shows a geodesic with self-intersections.

Created by Antonia Lichtenegger (2012) using POV-Ray - The Persistance of Vision Raytracer.

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Archimedean Solids
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Elliptic Linear Congruence
Geodesics on a Cone
Helices on a Helicoid
Hyperosculating Spheres
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Planar Sections of a Torus
Platonic Solids
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Spherical Loxodromes
Stationary Points
Striction Curves

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Last modified on February 18th, 2016.