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

Illustration

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. Several geodesics without self-intersections are depicted.

Created by Matthias Hörtenhuber (2012) using POV-Ray - The Persistance of Vision Raytracer.

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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

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Last modified on February 18th, 2016.