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Arkady E.'s Resources

Visualizing Hyperboloids

This animation represents level surfaces of the function f(x,y,z) = x^2 +y^2 -z^2. The graph of this function is a 3-dimensional solid in a 4-dimensional space - a hypersurface!

Cylinder Surface

Although one often thinks of a gentleman's hat, a cylinder is any surface generated by dragging a curve in the 3 dimensional x, y ,z coordinate frame along the x, the y, or the z-axis.   In this particular example, the cylinder is generated...