Draft:Surf (graphics program)

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Last edited by Maxim Leyenson (talk | contribs) 24 days ago. (Update)

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Barth sextic surface visualized with surf

surf is a an open source computer program written to visualize some real algebraic geometry: plane algebraic curves, space curves, and algebraic surfaces in a three-dimensional real affine space.

Surf is licensed under the GNU General Public License (GPL).

Surf was developed in 1996-1997 at the Friedrich Alexander Universitaet Erlangen-Nuernberg, and since 1997 at the Johannes Gutenberg-Universitaet Mainz.

surf provides a C-style programming language for the description of geometric objects. It supports semi-transparency and ray tracing in the Phong reflection model.

surf was written at the suggestion of Wolf Barth by Stephan Endrass, Hans Huelf, Ruediger Oertel, Kai Schneider, Ralf Schmitt, and Johannes Beigel.

Distribution

surf is packaged in the Debian Linux and derivatives (such as Ubuntu and Linux Mint) as surf-alggeo and in the Fedora Linux as surf-geometry.

It is also provided with the SageMath project.

Derivatives and forks

There are various derivatives of surf.

surfer which is a project under the direction of Gert-Martin Greuel^[1]

surfex is a 2008 derivation of surf written in Java by Oliver Labs and Stephan Holzer^[2]. It is now distributed as a part of Singular.

References

Herman Serras page on Surf animations of Barth Surfaces

Friedman, Michael; Krauthausen, Karin; Matt, Andreas Daniel (2022). "Interview with Andreas Daniel Matt: Real-Time Mathematics". In Friedman, Michael; Krauthausen, Karin (eds.). Model and Mathematics: From the 19th to the 21st Century. Springer. pp. 431–445. doi:10.1007/978-3-030-97833-4. ISBN 978-3-030-97833-4.

Holzer, Stephan; Labs, Oliver (2006). "Illustrating the classification of real cubic surfaces". In Elkadi, Mohamed; Mourrain, Bernard; Piene, Ragni (eds.). Algebraic Geometry and Geometric Modeling. pp. 119–134. doi:10.1007/978-3-540-33275-6. ISBN 978-3-540-33275-6.

Baez, John (April 15, 2016), "Barth Sextic", Visual Insight, American Mathematical Society, retrieved 2016-12-27 (Web Archive, April 15, 2016)

This article about mathematics software is a stub. You can help Wikipedia by expanding it.

^ Friedman, Michael; Krauthausen, Karin (2022), "Interview with Andreas Daniel Matt: Real-Time Mathematics", Model and Mathematics: From the 19th to the 21st Century, Trends in the History of Science, doi:10.1007/978-3-030-97833-4, ISBN 978-3-030-97832-7
^
- Holzer, Stephan; Labs, Oliver (2006). "Illustrating the classification of real cubic surfaces". In Elkadi, Mohamed; Mourrain, Bernard; Piene, Ragni (eds.). Algebraic Geometry and Geometric Modeling. pp. 119–134. doi:10.1007/978-3-540-33275-6. ISBN 978-3-540-33275-6.

[Model-and-Mathematics-1] Friedman, Michael; Krauthausen, Karin (2022), "Interview with Andreas Daniel Matt: Real-Time Mathematics", Model and Mathematics: From the 19th to the 21st Century, Trends in the History of Science, doi:10.1007/978-3-030-97833-4, ISBN 978-3-030-97832-7

[2] 
Holzer, Stephan; Labs, Oliver (2006). "Illustrating the classification of real cubic surfaces". In Elkadi, Mohamed; Mourrain, Bernard; Piene, Ragni (eds.). Algebraic Geometry and Geometric Modeling. pp. 119–134. doi:10.1007/978-3-540-33275-6. ISBN 978-3-540-33275-6.

[3] Holzer, Stephan; Labs, Oliver (2006). "Illustrating the classification of real cubic surfaces". In Elkadi, Mohamed; Mourrain, Bernard; Piene, Ragni (eds.). Algebraic Geometry and Geometric Modeling. pp. 119–134. doi:10.1007/978-3-540-33275-6. ISBN 978-3-540-33275-6.

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