The Breather Pseudospherical Surface

Breather Surface

IMPORTANT NOTE

Versions of 3D-XplorMath prior to Version 10.7 are incompatible with Version 10.7 (Lion) or later of Mac OS X. This is because they were compiled for the PowerPC chip and Apple removed the Rosetta PowerPC emulator from Lion. Version 10.7 and later of 3D-XplorMath are compiled to run native on Intel-based Macs, so if you are running a current version of Mac OS X you must upgrade 3D-XplorMath to Version10.7 or later.

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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.

 

This site is maintained by Richard Palais. Please send me email about any problems you find with it or any suggestions you have for improvements.