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Cushion Surface

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Cushion

The cushion surface is the quartic surface resembling a squashed round cushion on a barroom stool and given by the equation

z^2x^2-z^4-2zx^2+2z^3+x^2-z^2 -(x^2-z)^2-y^4-2x^2y^2-y^2z^2+2y^2z+y^2=0.

See also

Chair Surface, Paper Bag Surface, Quartic Surface

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References

Nordstrand, T. "Surfaces." http://jalape.no/math/surfaces.

Cite this as:

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

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