Rolling a coin on a Mobius Strip

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.

wat

>>2
GO BACK TO /food/ PLEASE

not sure if I understand your question properly, but I'll try to answer

First, find the line normal to center of the parametrized mobius.  Then, set the center for the disk to be 1/5 of a unit away from the mobius along that line.

Interestingly, since a mobius does not have unique faces, which way you go is ambiguous.

>>1
Typo alert: I think you want "Cos[Θ/2]" in the y position instead of "Cos[Θ]/2"

wat

>>4
>ambiguous
kinda like your sexuality, right, number 4?