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can you help me with this design

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TaoPhoenix:
It's not quite right, but just as an interesting counterpoint, independent toy companies have been making Rubik's type puzzles in cylinders that have rotating bases and slices. However the basics I recall is that the lines remain "straight ovals" instead of spirals. But it might help with the brainstorming in this thread because it could provide a partial graphic that you can then draw on top of.

Renegade:
Are you looking for Spirograph?

Here's a software version:

https://mathiversity.com/online-spirograph/app

Haven't tried this one though:

http://sourceforge.net/projects/spirograph/

4wd:
Are you looking for Spirograph?-Renegade (March 12, 2015, 08:28 PM)
--- End quote ---

Now there's a blast from the past  ;D

Target:
Are you looking for Spirograph?
-Renegade (March 12, 2015, 08:28 PM)
--- End quote ---

I think he's looking for something like this in 3D.

something that draws 'twisted' objects

4wd:
Salvador Dali?

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