Clifford Torus

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.

 

Thijs

 
Resource Type
Activity
Tags
4d  geometric  geometry  rotation  stereographic  topology  torus 
Target Group (Age)
19+
Language
English (United States)
 
 
GeoGebra version
4.2
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2841
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