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Quartic surface
open-in-new
Special quartic surfaces
Dupin cyclides
The Fermat quartic, given by
x
4 +
y
4 +
z
4 +
w
4 =0 (an example of a K3 surface).
More generally, certain
K3 surfaces
are examples of quartic surfaces.
Kummer surface
Plücker surface
Weddle surface
See also
Quadric surface
(The union of two quadric surfaces is a special case of a quartic surface)
Cubic surface
(The union of a cubic surface and a plane is another particular type of quartic surface)
Hudson, R. W. H. T.
(1990),
Kummer's quartic surface
, Cambridge Mathematical Library,
Cambridge University Press
,
ISBN
978-0-521-39790-2,
MR
1097176
Jessop, C. M. (1916),
Quartic surfaces with singular points
, Cornell University Library,
ISBN
978-1-4297-0393-2 {{citation}}: ISBN / Date incompatibility (help)