📑 Circus of Programming Tricks 01. 3D Function Drawing

tricks_01.html

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@interact

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def _(num=[2..4],alpha=[4..8],

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      opacity=slider([.9,.8,..,.1],default=.5),

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      col=slider(['#ff3366','#ff33aa','#ff36ff',

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                  '#ff3636','#ff6633','#ff66aa'])):

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    var('u,v')

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    x=(2+cos(v/3)*sin(u)-sin(v/3)*sin(6*u))*cos(v)

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    y=(2+cos(v/3)*sin(u)-sin(v/3)*sin(6*u))*sin(v)

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    z=30*abs(sin(v/3)*sin(u)+cos(v/3)*sin(6*u))

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    pp=[parametric_plot3d(

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        [2*i*x,2*i*y,z],(u,0,alpha*pi),(v,0,alpha*pi),

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        opacity=opacity,mesh=True,frame=False,color=col)

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        for i in [1..num]]

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    sum(pp).show()

Language: Sage Gap GP HTML Macaulay2 Maxima Octave Python R Singular

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