擅长3D曲面和曲线构造的免费软件3D-XplorMath

http://3d-xplormath.org/Downloads/download.html

Announcement (April 1, 2013): Version 10.8.1 of 3D-XplorMath is now available from the download page.
3D-XplorMath is a freely available Mathematical Visualization program. To download your personal copy of the latest version, click on the Download tab above. The
older Pascal version runs only on Macintosh computers. However there is now also a cross-platform Java version, called 3D-XplorMath-J, and while it still has fewer features
and Exhibits, we hope eventually to give it all the functionality of its older Pascal brother.
The program presents itself as series of galleries of different categories of interesting mathematical objects, ranging from planar and space curves to polyhedra
and surfaces to ordinary and partial differential equations, and fractals.
Morever, the carefully chosen default parameters and viewing options may be changed by the user so that each gallery is turned into a experimental lab.
Each exhibit has its own online documentation with suggestions for how to explore it further. We hope in this way to make the program useful to the interested layperson,
the teacher, and the research scientist
We are in the process of producing a series of short tutorial movies explaining
various features of the program and also some interesting ways in which it can be used. In particular, you can click here to see a basic introduction to
3D-XplorMath and some of its Exhibits.
Most Exhibits of the Pascal version of 3D-XplorMath have associated to them a so-called "About This Object" PDF file that explains the mathematics behind the pictures.
These files are also available here for separate download as a cross-platform zipped folder.
Acknowledgements: The group in charge of the 3D-XplorMath software development project and the related Virtual Mathematics Museum website project is the 3DXM
Consortium, an international volunteer group of mathematicians. The Consortium gratefully acknowledges support for these projects by The National Science Foundation (DUE
Award #0514781), and thanks the Mathematics Department of The University of California at Irvine, for hosting the 3D-XplorMath and Virtual Mathematical Museum websites.

只有上传了实例才能明白它的效果吧;

3D-XplorMath-J, Version 1.0 is a program for visualizing and experimenting with a variety of mathematical objects or "exhibits." It is written in the Java programming language; to use it, you must have Java 5.0 or higher installed on your computer. It is a complete revision of an older program, 3D-XplorMath (which runs only on Macintosh computers). While it still lacks some of the features and exhibits of the original program,3D-XplorMath-J, Version 1.0 is ready for serious use and has unique features of its own. Several languages are supported in 3D-XplorMath-J. Note, however, that the translation is incomplete for some languages, and parts of the program and documentation might be in English. 3D-XplorMath, 3D-XplorMath-J, and this web site are projects of the 3DXM Consortium, an international volunteer group of mathematicians, and are supported in part by The National Science Foundation (DUE Award #0514781).

Download

3D-XplorMath-J is available in versions for Windows and for Mac OS, as well as in a "jar" file that works on any platform. Note that all versions
require Java 5.0 or higher. On a computer that is set up to use one of the supported languages, the program should automatically run in that language. Use these links to download the program:

Download 3D-XplorMath-J.exe (for Windows)

Download 3D-XplorMath-J.dmg (for Mac OS)

Download 3D-XplorMath-J.jar (for any platform)

Note about using the "jar" file: On most computers, this version of the program can be run just by double-clicking it. It can also be run on the command line with
the command java -jar 3D-XplorMath-J.jar. In fact, 3D-XplorMath-J works best if it has access to more memory than is usually given to Java applications, so it's best to run the jar file on the command line with a command that asks for extra
memory, such as java -jar -Xmx256m 3D-XplorMath-J.jar. (The Windows and Mac OS versions automatically request extra memory.)
And be sure to go here:

Virtual Math Labs

to download Ulrich Pinkall's marvelous "3D-XplorMath-J meets jReality". This is an amazing and delightful marriage of 3D-XplorMath with jReality that allows you
to create an object in 3D-XplorMath-J and then, with a click of your mouse, to import it into jReality and play with it there. For more information about jReality look here.

On-line Applets

The individual exhibits of 3D-XplorMath-J can be used on-line in the form of "Java applets." To browse the applets, visit

3D-XplorMath-J Applets

To use the applets, you must use a Web browser in which Java 5.0 is enabled.

For Developers

3D-XplorMath-J is a free and open-source program. The source code is released under a BSD
license. The source code and Java API documentation can be found at the following links. (Developer information is available in English only.)
Browse the 3D-XplorMath-J Source On-line
Download the Source as a Zip File
Browse the 3D-XplorMath-J API Documentation