Parametric & Polar Functions

<script src='https://cdn.plot.ly/plotly-latest.min.js'></script> was added in the page head.

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%%html

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<div id='plotlychart' style='width:650px; height:600px;'/>

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<script>doc1=document.getElementById('plotlychart');

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function randi(min,max){

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    return Math.floor(Math.random()*(max-min+1))+min;};

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function f(a,b,c,d,e,q,n,t,k){

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    var x1=a+.1*b*Math.cos(c*Math.PI*t/n+k*Math.PI/q),

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        x2=.1*a+.01*d*Math.cos(e*Math.PI*t/n+k*Math.PI/q),

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        x3=1+Math.sin(Math.PI*t/n+k*Math.PI/q); 

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        return x1*x2*x3};

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function fx(a,b,c,d,e,q,n,t,k){

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    return f(a,b,c,d,e,q,n,t,k)*Math.cos(Math.PI*t/n+k*Math.PI/q)};

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function fy(a,b,c,d,e,q,n,t,k){

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    return f(a,b,c,d,e,q,n,t,k)*Math.sin(Math.PI*t/n+k*Math.PI/q)};

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function arx(a,b,c,d,e,q,n,k){

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    return Array(2*n+1).fill(k).map((k,t)=>

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           fx(a,b,c,d,e,q,n,t,k));};

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function ary(a,b,c,d,e,q,n,k){

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    return Array(2*n+1).fill(k).map((k,t)=>

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           fy(a,b,c,d,e,q,n,t,k));};

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function col(k,q){

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    return 'rgb(0,'+(k/(2*q+2)).toString()+','+

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           (1-k/(2*q+2)).toString()+')';};

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function plt(k){return Plotly.plot(doc1,

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    [{x:arx(a,b,c,d,e,q,n,k),

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      y:ary(a,b,c,d,e,q,n,k),

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      line:{color:col(k,q),width:.5},

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      name:[a,b,c,d,e,q,n,k]}]);};

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var a=randi(3,11),b=randi(3,25),

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    c=randi(8,16),d=randi(5,9),

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    e=randi(200,300),q=randi(2,10),n=randi(30,300);

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for (var k=1; k<2*q+1; k++){plt(k);};

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

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