Moebius Strip

Mathematically, it can be parametrised by:

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

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

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

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).