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Peninsula Surface


PeninsulaSurface

The peninsula surface is the quintic surface given by the equation

 x^2+y^3+z^5=1.

It was considered by S. Plouffe (pers. comm., Dec. 21, 1998). The sofa surface instead has equation x^2+y^3+z^5=0 and an isolated singularity at the origin; the peninsula surface is nonsingular.


See also

Quintic Surface, Sofa Surface

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References

Faber, E. and Hauser, H. "Today's Menu: Geometry and Resolution of Singular Algebraic Surfaces." Bull. Amer. Math. Soc. 47, 373-417, 2010. https://doi.org/10.1090/S0273-0979-10-01295-4.

Referenced on Wolfram|Alpha

Peninsula Surface

Cite this as:

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

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