Name: Anonymous 2009-04-06 22:44
I am working on a Mathematica project for Cal 4 and I need some help. If you know the Mathematica commands then great, but if not, just an explanation would be great.
So far I have the parameterization of a Mobius strip is:
M[t,Θ] = {(1 + (-0.1 + 0.2 t) Cos[Θ/2]) Cos[Θ], (1 + (-0.1 + 0.2 t) Cos[Θ]/2]) Sin[Θ], (-0.1 + 0.2 t) Sin[Θ/2]}
Now I need to parameterize a disk rolling around the Mobius strip. The disk should have a radius of 1/5 and lie tangent to the unit circle and be perpendicular to the Mobius strip. At Θ=0 the disk should be in the positive z axis.
Any thoughts or ideas would be greatly appreciated.
So far I have the parameterization of a Mobius strip is:
M[t,Θ] = {(1 + (-0.1 + 0.2 t) Cos[Θ/2]) Cos[Θ], (1 + (-0.1 + 0.2 t) Cos[Θ]/2]) Sin[Θ], (-0.1 + 0.2 t) Sin[Θ/2]}
Now I need to parameterize a disk rolling around the Mobius strip. The disk should have a radius of 1/5 and lie tangent to the unit circle and be perpendicular to the Mobius strip. At Θ=0 the disk should be in the positive z axis.
Any thoughts or ideas would be greatly appreciated.