Moebius Basics

by Tuğrul Yazar | January 15, 2012 18:49

One of the most popular shapes in topology studies is the one-edge, one-face Moebius strip. Here is a basic definition that generates Moebius-like lofted surfaces. I say Moebius-like because, in Grasshopper, Rhino, or any NURBS surface method, I couldn’t manage to model this shape in its real topological singularity. The tricky part of this Grasshopper definition lies at the end, as I take the first segment of the surface, flip it, and attach it to the end of the segment list. This creates an illusion that the loft operation seems to create a one-edge surface.
There are very interesting sculptures created by using the Moebius strip. I plan to make such compositions (a component-based approach for example) as parametric models. Here is the Grasshopper definition you can download [2012_01_17-mobius][1].

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Endnotes:
  1. [2012_01_17-mobius]: https://www.designcoding.net/decoder/wp-content/uploads/2012/01/2012_01_17-mobius.ghx
  2. [Image]: https://www.designcoding.net/decoder/wp-content/uploads/2012/01/2012_01_17-mobius-def.jpg

Source URL: https://www.designcoding.net/moebius-frenzy/