Dervish

This surface reminded me of the Whirling Dervishes. Hands out, and skirt billowing. Implicit form:

    a*F+q=0
   with:
    F=h1*h2*h3*h4*h5, h1=x-z
    h2=cos(2*Pi/5)*x-sin(2*Pi/5)*y-z
    h3=cos(4*Pi/5)*x-sin(4*Pi/5)*y-z
    h4=cos(6*Pi/5)*x-sin(6*Pi/5)*y-z
    h5=cos(8*Pi/5)*x-sin(8*Pi/5)*y-z
    q=(1-c*z)*(x^2+y^2-1+r*z^2)^2
    r=(1+3*sqrt(5))/4
    a=-(8/5)*(1+1/sqrt(5))*sqrt(5-sqrt(5))
    c=sqrt(5-sqrt(5))/2 


Here is the PoV3-source I used
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