Parametric Plotting with Random Coefficients 2

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%%html

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<div id='plotlychart2' style='width:650px; height:600px;'/>

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<script>doc2=document.getElementById('plotlychart2');

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

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    var x1=Math.cos(Math.PI*t/n+k*Math.PI/q)+

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           Math.cos(a*Math.PI*t/n+k*Math.PI/q),

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        x2=Math.cos(b*Math.PI*t/n+k*Math.PI/q)+

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           Math.cos(c*Math.PI*t/n+k*Math.PI/q),

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        x3=Math.cos(d*Math.PI*t/n+k*Math.PI/q)+

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           Math.cos(e*Math.PI*t/n+k*Math.PI/q);

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    return x1+x2+x3};

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

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    var y1=Math.sin(Math.PI*t/n+k*Math.PI/q)+

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           Math.sin(a*Math.PI*t/n+k*Math.PI/q),

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        y2=Math.sin(b*Math.PI*t/n+k*Math.PI/q)+

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           Math.sin(c*Math.PI*t/n+k*Math.PI/q);

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        y3=Math.sin(d*Math.PI*t/n+k*Math.PI/q)+

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           Math.sin(e*Math.PI*t/n+k*Math.PI/q);

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    return y1+y2+y3};

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

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function plt(k){return Plotly.plot(doc2,

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    [{x:arx(a,b,c,d,e,q,n,k),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(5,9),b=randi(10,14),

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    c=randi(15,19),d=randi(20,36),

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    e=randi(37,81),q=randi(3,12),n=randi(3,15);

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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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