Random Parametric Scatter Plots

<script type='text/javascript' src='https://code.highcharts.com/highcharts.js'></script> was added in the page head.

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%%html

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<div id='highcharts2' 

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style='height:630px; width:600px; margin:0 auto'>

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</div><script>

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function getinteger(min,max) {

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

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function fx(a,b,c,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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    var 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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    return x1+x2};

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function fy(a,b,c,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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    var 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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    return y1+y2};

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function ar(a,b,c,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,q,n,t,k),fy(a,b,c,q,n,t,k)]);};

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function colgb(i) {

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    var r=0,g=getinteger(i-100,255),b=getinteger(i-100,255);

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    return 'rgb('+r.toString()+','+g.toString()+

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           ','+b.toString()+')';};   

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var a=getinteger(5,11),b=getinteger(12,24),c=getinteger(25,35);

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var q=getinteger(3,6),n=getinteger(250,500); var series=[];

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for (var k=1; k<2*q+1; k++) {var colk=colgb(k); 

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    series.push({name:[k,a,b,c,n],lineWidth:.3,

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                 color:colk,data:ar(a,b,c,q,n,k),

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                 marker:{symbol:'circle',

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                 radius:.5,color:colk}})};

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Highcharts.chart('highcharts2', {

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    chart:{type:'scatter',backgroundColor:'lightcyan'},

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    xAxis:{visible:false},yAxis:{visible:false},

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    title:{text:'Random Parametric Scatter Plots'},

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    credits:{enabled:false},legend:{enabled:false},

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    series:series});

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

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