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Tooth Surface

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ToothSurface

The tooth surface, called the "pillow/tooth object" by Nordstrand (1997), is the quartic surface given by the equation

x^4+y^4+z^4-(x^2+y^2+z^2)=0.

It is a special case of Gorsat's surface with a=0, b=-1, c=0.

It appeared on the back cover of Thomas (1992).

See also

Bicuspid Curve, Goursat's Surface

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References

Nordstrand, T. "Surfaces: Pillow/Tooth Object." 1997. http://jalape.no/math/surfaces.Thomas, J. J. (Ed.). Back cover of SIGGRAPH '92: Proceedings of the 19th Annual Conference on Computer Graphics and Interactive Techniques. New York: ACM, 1992.

Cite this as:

Weisstein, Eric W. "Tooth Surface." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ToothSurface.html

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