WOLFRAM|DEMONSTRATIONS PROJECT

Twisting Rose Surfaces

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n rose
1
2
3
4
5
6
7
shift top
0
shift bottom
0
dimension
2D
3D
show lines
The base and top are the same rose curve given in polar coordinates by
r=cos(nθ)
,
0≤θ≤2π
. 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.