The 'Visualizations and Animations' wing of The Mathematical Museum is yet under construction. Thus it is quite incomplete. For some related references see the
- Visualization Centers and Groups collection of the
The 'Mathematical Museum' is part of the Math-Net Links to the Mathematical World.
There also is an Index to selected abbreviations of institutions and resources.
Meta Index
- INDEX: Mathematical Visualizations, by David Banks (ICASE)
- Institute for Computer Applications in Science & Engineereing, NASA/Langley Research Center, Hampton, Virginia 23681, USA.
- INDEX: Mathematical Visualizations and Animations (CSC)
- From the Computer Science Center, Helsinki, Finland.
- INDEX: Multimedia Information Sources (GMD)
- INDEX: Thant's Animations Index
The illusion of immersion is created by projecting 3D computer graphics into a 10'x10'x9' cube composed of display screens that completely surround the viewer. It is coupled with head and hand tracking systems to produce the correct stereo perspective and to isolate the position and orientation of a 3D input device. A sound system provides audio feedback. The viewer explores the virtual world by moving around inside the cube and grabbing objects with a three-button, wand-like device.
Example: MPEG movie (534KB) from the field of biochemistry.
Example: from the Sampler of EVL images as of Oct. 1995.
Example: Shaded image of a control arm.
The overview of geometric constraint solving (within the guided tour) shows the development of a control arm using a special modeling system.
Example: This is a (medium sized) still picture form the award-winning computer animation Outside In as created in April 1994. You may get this picture in original size from the Geometry Center. The production of this video took about 3 years. It explains the amazing discovery, made in 1957 by Steve Smale.
Example: Runtime Visualization for Parallel Applications (2,7 MB MPEG movie)
Results from previous research on parallel rendering algorithms have been incorporated into a prototype parallel graphics library known as PGL. PGL allows to integrate graphics into parallel application programs, providing live visual feedback as the computation progresses. For further information
Contact: Thomas W. Crockett, Richard G. Wilmoth
E-mail: tom@icase.edu, r.g.wilmoth@larc.nasa.gov
Example: Undulating earth (220K MPEG movie). For further information contact
E-mail: info@mathworks.com
Example: One picuture from the Rough Nickel Surface simulation
This simulation shows how low-energy ions interact with solid surfaces. Interactions like these are at the heart of semiconductor processing and manufacture, and fusion energy research.
- Agriculture
- Art and Computer Graphics
- Astronomy and Astrophysics
- Biological, Behavioral, and Social Sciences
- Chaos
- Chemistry
- Education
- Engineering
- Geosciences
- Mathematical and Physical Sciences
- Meteorology
- Technology
- National Metacenter MetaScience Project
- NCSA Digital Information System
- Grand Challenge Cosmology Consortium
- Spacetime Splashes: Catching the Wave in Einstein's Equations
- The Fractal Microscope
- NSF HPCC Science Highlights 1993
- NCSA Digital Gallery CD-ROM
- Virtual Reality Modeling Language (VRML)
Example: Pipe image from the Rayshade Imagery at Carnegie Mellon University (CMU).
You may also get the source code used to generate these images at CMU. Full 24bit color images and complete animations are also available in Utah Raster Toolkit [URT] format. For further information on rayshades
Contact: Craig Kolb; cek@flux.stanford.edu
Example: Video Proof that the doubly-discrete sine-Gordon Equation has no singularites, even for an unstable initial Cauchy data (1.5MB MPEG).
Author: Uwe Schwarz; schwarz@zib.de
Example: Distributed VIS-5D for Large Atmospheric Simulations; (57KB MPEG movie).
For further information
Contact: Bill Hibbard; whibbard@macc.wisc.edu