3D Surface Equation of the Month.

Welcome! This is the only website on the net that puts a different 3-d surface equation up on a pedestal each month. Come back next month for an exciting new 3D surface equation. You can start the graph spinning by gently dragging on it with your mouse and releasing. If you have 3D specs, you can use those, too.

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The 3D surface equation for December, 1997, is

y = x^4 - z^4

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detail :
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3D specs :

This month's equation, y = x^4 - z^4, strongly resembles the equation y = x^2 - z^2. They are both from the hyperbolic paraboloid family, commonly referred to as 'saddles'. This equation differs from its '^2' cousin in that it is flatter on the 'seat' part, and suddenly begins to climb very steeply. This is a reflection of n^4's property of being very close to 0 when less than 1, and very, very large when greater than one.

If you have a special favorite 3-d surface equation that doesn't already appear on my 3D Graph Applet, you can audition it for 3D Surface Equation of the Month by e-mailing it to me. Please have at least one axis free from multiple solutions. A graph is not necessary.

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Updated December 2, 1997