3D Curve Equation of the Month.

Welcome the only website on the net that puts a different 3-d curve equation up on a pedestal each month. Bookmark this site and come back next month for an exciting new 3D curve equation. You can spin the curve by dragging on it with your mouse. If you have 3D glasses, you can use those, too.

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The 3D curve 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 curve equation that doesn't already appear on my 3D Graph Applet, you can audition it for 3D Curve 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