Examples of Simple GoogleCharts

<script src='https://www.gstatic.com/charts/loader.js'></script> was added in the page head.

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%%html

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<div id='googlechart' style='width:530px; height:580px;'/><script>

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google.charts.load('current',{'packages':['corechart']})

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google.charts.setOnLoadCallback(drawChart);

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var doc=document.getElementById('googlechart');

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var n=24,q=.01,m=638; var s2='ϱ = 1 + cos '.concat(n).concat(' θ');

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var s1='ϱ = cos  '.concat(n).concat(' θ');

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function drawChart() {

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    var xy=Array(2*m).fill(0).map((r,t)=>

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        [(Math.floor(t/m)+r+Math.cos(n*q*t))*Math.cos(q*t),

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         (r+Math.cos(n*q*t))*Math.sin(q*t),

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         (r+Math.floor(t/m)+Math.cos(n*q*t))*Math.sin(q*t)]);

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    for (var i=1; i<m-1; i++) {xy[m-1+i][1]=NaN; xy[i+1][2]=NaN;}

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    xy.unshift(['x',s1,s2]); 

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    var data=google.visualization.arrayToDataTable(xy),

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        options={curveType:'function',legend:{position:'bottom'}};

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    var chart=new google.visualization.LineChart(doc); 

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    chart.draw(data,options); };

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

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The Python Variant

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import numpy,pylab; n,m=24,600

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T=numpy.linspace(start=0,stop=2*numpy.pi,num=m)

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XY=numpy.array([[(numpy.cos(n*T)+r)*numpy.cos(T),

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                 (numpy.cos(n*T)+r)*numpy.sin(T)] for r in range(3)])

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XYP=numpy.array([[T,abs(r+numpy.cos(n*T))] for r in range(3)])

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fig=pylab.figure(figsize=(5,10)); ax1=fig.add_subplot(211)

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ax2=fig.add_subplot(212,projection='polar')

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colors=['#ff36ff','#ff3636','#3636ff']

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labels=[u'ϱ = cos %sθ'%n,u'ϱ = 1 + cos %sθ'%n,u'ϱ = 2 + cos %dθ'%n]

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[ax1.plot(XY[i][0],XY[i][1],color=colors[i],label=labels[i]) 

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 for i in range(3)]

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[ax2.plot(XYP[i][0],XYP[i][1],color=colors[i],label=labels[i]) 

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 for i in range(3)]

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lines,labels=ax1.get_legend_handles_labels() 

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ax1.legend(lines,labels,bbox_to_anchor=(1,1.15),loc=5) 

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ax1.grid(); ax1.set_xlim(-4,4); ax1.set_ylim(-4,4); 

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ax1.set_xlabel('x'); ax1.set_ylabel('y'); pylab.show()

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

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Messages