Quintic Surface
A quintic surface is an Algebraic Surface of degree 5. Togliatti (1940, 1949) showed that quintic surfaces having 31Ordinary Double Points exist, although he did not explicitly derive equations for suchsurfaces. Beauville (1978) subsequently proved that 31 double points was the maximum possible, and quintic surfaces having 31Ordinary Double Points are therefore sometimes called Togliatti Surfaces. van Straten (1993) subsequently constructed a 3-D family of solutions and in 1994, Barth derived the example knownas the Dervish.
See also Algebraic Surface, Dervish, Kiss Surface, Ordinary Double Point
References
Beauville, A. ``Surfaces algébriques complexes.'' Astérisque 54, 1-172, 1978. Endraß, S. ``Togliatti Surfaces.''http://www.mathematik.uni-mainz.de/AlgebraischeGeometrie/docs/Etogliatti.shtml. Hunt, B. ``Algebraic Surfaces.'' http://www.mathematik.uni-kl.de/~wwwagag/Galerie.html. Togliatti, E. G. ``Una notevole superficie de Togliatti, E. ``Sulle superficie monoidi col massimo numero di punti doppi.'' Ann. Mat. Pura Appl. 30, 201-209, 1949. van Straten, D. ``A Quintic Hypersurface in 
ordine con soli punti doppi isolati.'' Vierteljschr. Naturforsch. Ges. Zürich 85, 127-132, 1940.
with 
Nodes.'' Topology 32, 857-864, 1993.
- Squareful
- Square Gyrobicupola
- Square Integrable
- Square Knot
- Square Matrix
- Square Number
- Square Orthobicupola
- Square Packing
- Square Polyomino
- Square Pyramid
- Square Pyramidal Number
- Square Quadrants
- Square Root
- Square Root Inequality
- Square Root Method
- Square Triangular Number
- Square Wave
- Squaring
- Squeezing Theorem
- s-Run
- S-Signature
- SSS Theorem
- Stability
- Stability Matrix
- Stabilization