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MathGroup Archive 2000

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Re: mobius strip

  • To: mathgroup at smc.vnet.net
  • Subject: [mg25066] Re: [mg25044] mobius strip
  • From: Hugh Walker <hwalker at gvtc.com>
  • Date: Thu, 7 Sep 2000 22:28:07 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

VIKTORA6 at aol.com asks what mathematical formula can generate a mobius strip?
=========

Alfred Gray's Modern Differential Geometry of Curves and Surfaces is a
great source for Mathematica applied to such topics. In Section 12.3 the
Mobius strip is paramamaterized and plotted according to

moebiusstrip[a_][u_,v_]:= a{Cos[u]+v Cos[u/2] Cos[u],Sin[u]+v
Cos[u/2]Sin[u],v Sin[u/2]};

ParametricPlot3D[moebiusstrip[1][u,v]//Evaluate,{u,0,2
Pi},{v,-0.3,0.3},PlotPoints->{40,10},Axes->None,Boxed->False];

Here, a governs the scale of the strip's radius and v its thickness.



    ==

Hugh Walker
Gnarly Oaks




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