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Surface in 3D

If you click on a small image, you will have the menu of the plotter with the equation of the surfaces already loaded. Which will allow you to plot a bigger image of the surface, while playing with the parameters (colors, viewing angles, zoom, spin, etc). All 3D graphes are interactive, zoom by mouse wheel, and animation by clicking the spin checkbox.

Demo	Equation	Description
	x2+y2-z2=0	Quadratic cone.
	x2+y2+z2+2x y z=1	Cubic with 4 singular points.
	x4+y4+z4+5x y z=0	A quartic surface with 4 branches touching at the origine.
	x3+y3+z3=(x+y+z)	a cubic surface with rotation.
	x2 y2+y2 z2+z2 x2=(x2+y2+z2-0.75)	a quartic surface.

1. Paraboloïd z=ax²+by². One sees the surface deform with the variations of a and b.
   
2. Deformation of hyperboloid x²+y²+az²=1. Vertical.
   
3. Deformation of hyperboloïde x²+ay²+z²=1. Horizontal.
   
4. The Moebius band.
   
5. Riemann surface of two sheets crossing each other.
   
6. A surface with a singular line, which resembles the precedent one but does not cross.
   
7. Deformation of one into the other, for the above two surfaces. Without rotation.
   
8. As above but with rotation at the same time.
   
9. A plane deforming into a cylinder then back to a plane from the other direction.
   

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Reference 参阅