Costa Minimal Surface
A complete embedded Minimal Surface of finite topology. It has no Boundary and does not intersect itself. It canbe represented parametrically by
where
is the Weierstraß Zeta Function, 
is theWeierstraß Elliptic Function, 
, 
, andthe invariants are given by 
and 
.
References
Costa, A. ``Examples of a Complete Minimal Immersion in do Carmo, M. P. Mathematical Models from the Collections of Universities and Museums (Ed. G. Fischer). Braunschweig, Germany: Vieweg, p. 43, 1986. Gray, A. Modern Differential Geometry of Curves and Surfaces.Boca Raton, FL: CRC Press, 1993. Gray, A. Images of the Costa surface. ftp://bianchi.umd.edu/pub/COSTAPS/. Nordstrand, T. ``Costa-Hoffman-Meeks Minimal Surface.'' http://www.uib.no/people/nfytn/costatxt.htm. Peterson, I. ``The Song in the Stone: Developing the Art of Telecarving a Minimal Surface.'' Sci. News 149, 110-111, Feb. 17, 1996.
of Genus One and Three Embedded Ends.'' Bil. Soc. Bras. Mat. 15, 47-54, 1984.
- Integer Part
- Integer Relation
- Integer Sequence
- Integrable
- Integral
- Integral Brick
- Integral Calculus
- Integral Cuboid
- Integral Current
- Integral Curvature
- Integral Domain
- Integral Drawing
- Integral Equation
- Integral of Motion
- Integral Sign
- Integral Test
- Integral Transform
- Integrand
- Integrating Factor
- Integration
- Integration by Parts
- Integration Lattice
- Intension
- Interchange Graph
- Interest