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Mobius Surface

by qvist Jan 31, 2014
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I love math art like this! How did you model it?

My first attempt at this was using OpenSCAD, but I had problems with creating a smoothly joined mesh, without such an excessive amount of resolution to the rotational extrusion, that the CGAL render would basically take forever :P

I had never used Blender before, but I figured it would be able to do something like this, and it was actually way easier than I had imagined.

Basically, you start with a cube, then slice a new set of vertices down the middle of it. With this, you can extrude any extra number of the shape, basically making the cube a long segmented rectangular tube. This tube was then flattened to a strip. Using blenders "Proportional Editing" the strip was then twisted by applying a 540 degree rotation to the vertices on one end of the strip, and setting the proportionality to the amount of segments in the strip. After this step, you have a nice twisted strip. You can then use Blenders "warp" transform (or maybe it was "bend", sorry can't remember off the top of my head) to bend it around and connect to itself. After this, the two ends were joined to a consistent mesh. A "subdivision surface" and "smooth" modifier was then applied to the object to make it smooth and nice. That's about it!

Thank you so much!!!