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.Referenced on Wolfram|Alpha
Quartic Surface
Cite this as:
Weisstein, Eric W. "Quartic Surface."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/QuarticSurface.html
Subject classifications
