Moebius Strip

NO WIKIDATA ID FOUND! Search for Moebius Strip on Wikidata Create new Wikidata item

Upload media

English: The Möbius Strip (also Moebius) is a surface with only one side and one edge. It can be made by putting a half-twist in a piece of paper and gluing the ends together.

Mathematically, it can be parametrised by:

$x=\cos u+v\cos {\frac {nu}{2}}\cos u$

$y=\sin u+v\cos {\frac {nu}{2}}\sin u$

$z=v\sin {\frac {nu}{2}}$,

where n is the number of half-twists, u runs from 0 to 4π and v from 0 to 0.3 (this can be varied to alter the width). n=1 gives the standard Möbius Strip, while any integer gives a continous strip with n half twists in it. If n is not an integer, the surface may be discontinuous (depending on how far u runs).

Basic Möbius Strip (n=1)

• 
  Large Format (800px)
• 
  Thumbnail Version
• 

Non-integer n

By setting n to non-integer values between 0 and 1, we can see a flat band "unwrap" into a Möbius strip:

• 
  n=0
• 
  n=0.1
• 
  n=0.2
• 
  n=0.3
• 
  n=0.4
• 
  n=0.5
• 
  n=0.6
• 
  n=0.7
• 
  n=0.8
• 
  n=0.9
• 
  n=1 (This is off-centre to align with the others - use the version at the top if used by itself)