Polar and Parametric Coordinate Systems 2

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@interact

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def _(a=(2,4,1),b=(4,8,1),c=(4,8,1),n=(2,8,1),m=(2,8,1)):

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    var('t'); r=cos(a*t)^n+sin(b*t)^m+1/c; col='#3636ff'

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    string='<center><font color=%s>$r = %s$</font></center>'

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    pretty_print(html(string%(col,latex(r))))

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    p=parametric_plot((sin(t)*r,cos(t)*r),(0,2*pi),

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                      color=col,fill=True,fillcolor=col)

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    p+=plot(r,(0,2*pi),linestyle='--',color=col,gridlines=True)

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    show(p,figsize=(7,7),

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         xmin=-2.2-1/c,xmax=6.4+1/c,ymin=-2-1/c,ymax=2+1/c)

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

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