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Moebius Transformations Revealed

A short film depicting the beauty of Moebius Transformations in mathematics. The movie shows how moving to a higher dimension can make the transformations easier to understand. The full version is...  
 
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gbxgbxgbx (17 hours ago) Show Hide
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actually "inside at the top" and not above the sphere, thats it.
gbxgbxgbx (17 hours ago) Show Hide
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most probably inside in the middle though...
gbxgbxgbx (21 hours ago) Show Hide
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Look at 1:55 - that source of light on top wouldn't project such an image. Light would either have to be INSIDE or attached to the sphere outside and moving along with it as it rotates (source of light would be at point [0,0,0] at 1:57). Right?
malevolentfreak (1 day ago) Show Hide
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No, actually the coefficients are complex numbers. Möbius transformations map the extended complex plane onto itself.
Samus1234567890 (2 days ago) Show Hide
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Watch again and notice where the light source is. It is touching the top of the sphere, but if it were inside it would not project the image.
ArkBlitz (1 week ago) Show Hide
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The formula uses 4 variables, does this mean it's on R4?
gravitymindofgod (4 weeks ago) Show Hide
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Put The Inside on the OUtside.
FluffyBunniesOnFire (1 month ago) Show Hide
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1:03 it's Tweety!
Nukers90 (3 weeks ago) Show Hide
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HAhahaha :)) Funny one :))
NagarajVasuki (1 month ago) Show Hide
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How math concepts are taught largely determines how widely - and profoundly - they may be comprehended. Arnold and Rogness prove this quite elegantly; the popularity of their brief video should speak volumes to math teachers worldwide.

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