Clifford Torus (Animation)

The Clifford torus is a torus sitting inside S³ embedded in R⁴. Stereographic projection from S³ to R³ preserves circles. Parallel projection (x,y,z) → (x,y) deforms circles into ellipses. The Clifford torus can be rotated in R⁴ before projecting onto R². [b]Heavy scripting can cause problems. Worksheet download works better. [/b] For more information see: "Dimensions Chapter 8" on YouTube: [url]https://www.youtube.com/watch?v=10sDqSUjXHc[/url] [url]http://www.dimensions-math.org[/url]

 

Thijs

 
Resource Type
Activity
Tags
4d  geometry  rotation  stereographic  topology  torus 
Target Group (Age)
19+
Language
English (United States)
 
 
GeoGebra version
4.4
Views
3063
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