Simple & Random Parametric Plotting 2

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var('t,k'); a=randint(7,15); b=randint(10,24)

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x(t,k)=cos(t+k*pi/6)+cos(a*t)/2+sin((a+b)*t)/3 

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y(t,k)=sin(t+k*pi/6)+sin(a*t)/2+cos((a+b)*t)/3

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s=r'<p style="color:#aa00ff;">$a=%s; \; b=%s$</p>'

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pretty_print(html(s%(a,b)))

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p=sum([parametric_plot(

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    (x(t,k),y(t,k)),(t,(i-1)*pi/24,i*pi/24),

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    color=colormaps.cool(5*i)[:3],thickness=.3) 

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       for i in [1..48] for k in [1..12]])

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p.show(aspect_ratio=1,figsize=(5,5),axes=False)

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

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