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Enneper's surface: A minimal surface containing two straight lines
The surface has several complicated self-intersections, which can be
guessed in the figure. Although it is not evident at all, it contains
two straight lines.
The fact that it is a minimal surface means, intuitively, that
any slight modification of its shape increases its area.
The parametric equations of the surface are:
x(u,v)=u-u3/3+uv2
y(u,v)=-v-u2v+v3/3
z(u,v)=u2-v2
Links
People
- Web page of Juan Monterde, my Ph. D. Thesis advisor
- Web page of the Departament of Geometria i Topologia (Universitat de València, Spain)
- The CIMAT at Guanajuato (México)
- The CSIC at Madrid (Spain), the Instituto de Tecnologías Físicas y de la Información "Torres Quevedo". I collaborate with Jaime Muñoz Masqué
- Web page of Yvette Kosmann-Schwarzbach
- Web page of Adolfo Sánchez Valenzuela. Here you can find an overview of his work and attitude towards Mathematics and Physics (in spanish)
- Web page of Janusz Grabowski
- Web page of Gennadi Sardanashvily. He is the author of some books that I find very useful in my own research. Moreover, he has links to a lot of his published papers
- Web page of Giuseppe Marmo
- Web page of Joseph Krasil'shchik
- Web page of José Adolfo de Azcárraga. Please, take a look
not only at his (impressive) scientific contributions, but also at his popular writings,
particularly those dealing with educational matters. Even if I don't fully agree with the points of view expressed there, I think they are
really very interesting (let alone the fact that I never have met such a cultivated person as Adolfo)
- Web page of Jesús Muciño. If you want to learn about some topic orthogonal to you, you have two choices: (a) buy a good book and study it or (b) let Jesús explain it to you. No doubt, one of the best expositors I have ever met
Science
- MathSciNet, search for published papers in the area of Mathematics
- arXiv mirror in Spain, search for papers and preprints on Mathematics and Physics (Spain)
- Samizdat Press, free and on-line books
- AMS free books
Linux (and Un*x)
- Slackware Linux THE BEST DISTRO!!
- Debian and the HURD project, which is intended to be a GNU replacement for the UN*X kernel
- The free fork of Open Solaris, Illumo/OpenIndiana, here you can access all the relevant info
- XFCE, the cholesterol free desktop... the one I use. It is not just nice: it is really fast, usable and full-featured... give it a try!
- WindowMaker, another of my favorites. It has the NeXT look and feel
- TextMaker, a perfect substitute for M$ Word. With due respects to OpenOffice or Libre Office, I think this is the best alternative for word processing available in Linux. It is full-featured, stable and fast; moreover, there are versions for FreeBSD
- Sylpheed, a very complete mail client (supports POP and IMAP)
- Opera, an excellent browser. But keep an eye on Dillo... It is extremely fast!
- And, of course, the good old Lynx...
- Ted is an excellent .rtf text editor
- Xmms, the best software for playing audio files
- Hispalinux, the Association of Spanish Users of Linux
- Barrapunto, a good place for Linux info (in spanish), take a look also at Slashdot, in english
- Linux community has a fine sense of humour, take a look at these comics! (the original version can be found in spanish here)
Other