Differential Geometry and Geometric Structures
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Students' Work: Helices on a Helicoid

Illustration

A helicoid admits a continuous skrew motion along its axis. Under this motion the points of the helicoid move along helices, except for the points of the axis. Their path is the axis, which is a straight line.
There are, however, even more helices on the helicoid. These arise as intersections of the helicoid with cylinders of revolution that contain the axis of the helicoid.

Created by Christine Rohringer (2014) using POV-Ray - The Persistance of Vision Raytracer.

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Archimedean Solids
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Dupin Cyclides
Elliptic Linear Congruence
Geodesics on a Cone
Helices on a Helicoid
Hyperosculating Spheres
Impossible Objects
Klein Bottle
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Planar Sections of a Torus
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Prince Rupert's Cube
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Schwarz Lanterns
Snails
Spherical Loxodromes
Stationary Points
Striction Curves

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Last modified on February 18th, 2016.