Differential Geometry and Geometric Structures
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Students' Work: Impossible Objects

Illustration

It seems that this staircase descends continually, which clearly is impossible. Nevertheless, this is a real object.
See the following picture.
(Image 1 of 3)

Created by Dominique Schmoldas (2014) 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.