Tuesday, November 22, 2016

Tangent Space of Twisted Cubic




Tangent Space of a Twisted Cubic






A twisted cubic is the curve  This is a smooth, rational curve C of degree three in projective 3-space P3. It is a fundamental example of a skew curve. It is essentially unique, up to projective transformation (the twisted cubic, therefore). It is generally considered to be the simplest example of a projective variety that is not linear or a hypersurface, and is given as such in most textbooks on algebraic geometry. It is the three-dimensional case of the rational normal curve, and is the image of a Veronese map of degree three on the projective line.
(Information obtained from Wikipedia).

This design was created by Conor Nelson in Mathematics through 3D Printing, taught by Dr. Evelyn Sander in Spring 2016, and printed at the Math Makerlab, GMU. 





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