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The base and top are the same rose curve given in polar coordinates by ... , ... . The points are joined top to bottom by lines to form a surface, but you can distort it by shifting the points along either curve. You can see a projection of the curves and lines into 2D.

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      EUN,LOM,LRE4,work-cmr-id:398251,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/TwistingRoseSurfaces/,ilox,learning resource exchange,LRE metadata application profile,LRE

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