@Marcel_Rijsmus hope it might be okay to ask about this on this thread, if not I will delete - I wanted to produce a Mobius Strip and have found some strange results; I’m wondering if someone more mathematically inclined than me might have an explanation?

A Möbius strip of half-width w with midcircle of radius R and at height z=0 can be represented parametrically by

x = [R+ s cos(1/2 t )] cos t
y = [R+ s cos(1/2 t)] sin t
z = s sin(1/2 t)

s = -n..n..0.001;
t = 1..10000;
x = (r + (s * Math.Cos(t/2))) * Math.Cos(t);
y = (r + (s * Math.Cos(t/2))) * Math.Sin(t);
z = s * Math.Sin(t/2);
points = Autodesk.Point.ByCoordinates(x,y,z);
Mobius = Autodesk.PolyCurve.ByPoints(points);

Any ideas? I know that its meant to be a surface and I am generating points/polycurves so might be the explanation, but I suppose I wasn’t too sure how to generate it otherwise

I managed to re-write everything up until the part which drove the animation, and plan to try and finish the animation portion when I plug back in (going laptopless for the weekend). I can post when done and reconnected.

Yours is a bit ‘purer’ in terms of the math though. Had a twitter post awhile back where I ran this via Refinery to see how many I could make. I haven’t tried it with the faster refinery yet, perhaps a weekend project is in order… Here’s the view of mine with the dials cranked to 11: