Mesh Surfaces 2

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import pylab,numpy

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from mpl_toolkits.mplot3d import Axes3D

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pylab.rcParams['grid.color']='steelblue'

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pylab.rcParams['grid.linestyle']='--'

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f=pylab.figure(figsize=(6,6))

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ax=f.add_subplot(111,projection='3d')

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X=numpy.linspace(-7,7,128); X,Y=numpy.meshgrid(X,X)

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Z1=1/2*X**2+1/8*Y**2; Z1[Z1>6]=numpy.nan;

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Z2=1/8*X**2-1/18*Y**2

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Z2[Z2<-6]=numpy.nan; Z2[Z2>6]=numpy.nan;

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ax.plot_wireframe(X,Y,Z1,alpha=.9,lw=1,colors='#ff3636')

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ax.plot_wireframe(X,Y,Z2,alpha=.3,lw=1,colors='#3636ff')

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l1='$\\frac{x^2}{1^2}+\\frac{y^2}{2^2}=2 \\cdot z$'

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l2=r'$\frac{x^2}{2^2}-\frac{y^2}{3^2}=2 \cdot z$'

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ax.text(2,7,7,l1,color='#ff3636',fontsize=15)

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ax.text(-12,-7,-7,l2,color='#3636ff',fontsize=15)

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ax.xaxis.pane.fill,ax.yaxis.pane.fill,ax.zaxis.pane.fill=\

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False,False,False

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ax.set_xlim(-7,7); ax.set_ylim(-7,7); ax.set_zlim(-7,7)

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pylab.show()

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