Quartic Surface -- from Wolfram MathWorld
- ️Weisstein, Eric W.
An algebraic surface of surface order 4. Unlike cubic surfaces, quartic surfaces have not been fully classified.
Examples of quartic surfaces include the apple surface, Bohemian dome, Cassini surface, Cayley cubic Hessian, crossed trough, cushion surface, double sphere, eight surface, elliptic torus, Goursat's surface, lemon surface, Menn's surface, miter surface, Nordstrand's weird surface, Peano surface, piriform surface, quartoid, Roman surface, Steiner surface types 2 and 4, tanglecube, tooth surface, and torus.
See also
Bohemian Dome, Burkhardt Quartic, Cassini Surface, Cushion Surface, Cyclide, Desmic Surface, Fresnel's Elasticity Surface, Goursat's Surface, Klein quartic surface, Kummer Surface, Miter Surface, Piriform Surface, Roman Surface, Symmetroid, Tetrahedroid, Tooth Surface
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References
Fischer, G. (Ed.). Mathematische Modelle aus den Sammlungen von Universitäten und Museen, Kommentarband. Braunschweig, Germany: Vieweg, p. 9, 1986.Fischer, G. (Ed.). Plates 40-41, 45-49, and 52-56 in Mathematische Modelle aus den Sammlungen von Universitäten und Museen, Bildband. Braunschweig, Germany: Vieweg, pp. 40-41, 45-49, and 52-56, 1986.Hunt, B. "Some Quartic Surfaces." Appendix B.5 in The Geometry of Some Special Arithmetic Quotients. New York:Springer-Verlag, pp. 310-319, 1996.Jessop, C. Quartic Surfaces with Singular Points. Cambridge, England: Cambridge University Press, 1916.
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Cite this as:
Weisstein, Eric W. "Quartic Surface." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/QuarticSurface.html