The Mobius edge.(adsbygoogle = window.adsbygoogle || []).push({});

Not the two dimensional object, the one dimensional curve.

btw - I am just a re-awakening old guy trying to relearn math from the ground up. :) just so you know your questioner.

I think I have worked out the parametric for a mobius strip. I get the classic x,y,z, coordinates for a strip with two variables. R constant at 1.0 for me.

x = (R + L*Cos(A/2)) * Cos(A)

y = (R + L*Cos(A/2)) * Sin(A)

z = L*Sin(A/2)

A, ranging from 0 to 360 degrees, L ranging from -Lmax to +Lmax,

I use an R of 1 and a L approaching +/- 0.50

My problem, is trying to restrict the L quantity till it is just a single curved line. Eventually I hit a division by zero error in the graphing programs.

I can make it draw up to some point (?) , like L= 0.5 +- .00001 and then I end up with just a very narrow two dimensional strip, not a line.

Is there a simple equation to define the line or am I chasing a wrong path?

Thanks.

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# The Mobius edge.

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