Polar Projection

function_plotting_py.ipynb

import numpy,pylab; T=numpy.linspace(start=0,stop=2*numpy.pi,num=200)

XY=numpy.array([[(numpy.cos(12*T)+r)*numpy.cos(T),

                 (numpy.cos(12*T)+r)*numpy.sin(T)] for r in range(3)])

XYP=numpy.array([[T,abs(r+numpy.cos(12*T))] for r in range(3)])

fig=pylab.figure(figsize=(14,7)) 

ax1=fig.add_subplot(121); ax2=fig.add_subplot(122,projection='polar')

colors=['#36ff36','#ff3636','#3636ff']

labels=[u'ϱ = cos 12 θ',u'ϱ = 1 + cos 12 θ',u'ϱ = 2 + cos 12 θ']

[ax1.plot(XY[i][0],XY[i][1],color=colors[i],label=labels[i]) for i in range(3)]

[ax2.plot(XYP[i][0],XYP[i][1],color=colors[i],label=labels[i]) for i in range(3)]

lines,labels=ax1.get_legend_handles_labels()

ax1.legend(lines,labels,bbox_to_anchor=(1,1.15),loc=2)

ax1.grid(); ax1.set_xlim(-3.1,3.1); ax1.set_ylim(-3.1,3.1) 

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