Tag Archives: geometry

perturbated core curve


the core curve of the mobius strip perturbated by 0.1\cos(11\ t) 

But if we use 0.4\cos(12.5t)\sin(3t)\cos(t)

 
 

 

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Filed under cucei math, differential geometry

four geodesics in the band


on the right of this post you can see 4 (approximately) geodesics in the mobius strip, one is transversal to the core curve and the others (three)  begin at that transversal… One almost can see that all geodesics in the surface have curvature but without 3d torsion… would it be a theorem?  

Rendered with Mathematica-6.

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Filed under fiber bundle, multilinear algebra, topology

a GPS for a surface to do calculus on it


 

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torus in chains


more than thousand googolplex parole

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