Geometry Center

For centers of geometrical objects, see Centre (geometry).

The Geometry Center was a mathematics research and education center at the University of Minnesota. It was established by the National Science Foundation in the late 1980s and closed in 1998. The focus of the center's work was the use of computer graphics and visualization for research and education in pure mathematics and geometry.[1]

The center's founding director was Al Marden. Richard McGehee directed the center during its final years. The center's governing board was chaired by David P. Dobkin.[1]

Geomview

Much of the work done at the center was for the development of Geomview, a three-dimensional interactive geometry program. This focused on mathematical visualization with options to allow hyperbolic space to be visualised. It was originally written for Silicon Graphics workstations, and has been ported to run on Linux systems; it is available for installation in most Linux distributions through the package management system. Geomview can run under Windows using Cygwin and under Mac OS X. Geomview has a web site at www.geomview.org.

Geomview is built on the Object Oriented Graphics Library (OOGL). The displayed scene and the attributes of the objects in it may be manipulated by the graphical command language (GCL) of Geomview. Geomview may be set as a default 3-D viewer for Mathematica.[2]

Videos

Geomview was used in the construction of several mathematical movies including:

  • Not Knot, exploring hyperbolic space rendering of knot complements. [1]
  • Outside In, a movie about sphere eversion. [2]
  • The shape of space, exploring possible three dimensional spaces. [3]

Other software

Other programs developed at the Center included:

Website

Richard McGehee, the center's director, has stated that the website was one of the first one hundred websites ever published.[3] Despite the Center being closed, its website is still online at [14] as an archive of a wide range of geometric topics, including:

  • Geometry and the Imagination handouts for a two-week course by John Horton Conway, William Thurston and others. [15]
  • Science U, a collection of interactive exhibits. [16]
  • The Geometry Forum, an electronic community focused on geometry and math education. [17]
  • Preprints, 99 preprints from the center. [18] Archived 2006-02-12 at the Wayback Machine
  • The Topological Zoo, a collection of curves and surfaces. [19]

Geomview is supported through the dedicated Geomview website.

Research

During its time of operation, a large number of mathematical workshops were held at the center. Many well-known mathematicians visited the center, including Eugenio Calabi, John Horton Conway, Donald E. Knuth, David Mumford, William Thurston, and Jeff Weeks. There were over thirty postdocs, apprentices and graduate students.[citation needed]

References

  1. ^ a b ""Post-mortem on the Geometry Center" Math in the Media (AMS)". Archived from the original on 2008-03-25. Retrieved 2021-04-28.
  2. ^ "Geomview, Linux Journal, March 1, 1996
  3. ^ *Mervis, Jeffrey (26 July 2002), "The Geometry Center, 1991-1998. RIP.", Science, vol. 297, no. 5581, p. 508, doi:10.1126/science.297.5581.508, PMID 12142514, S2CID 176839308, retrieved January 5, 2008

44°58′25″N 93°14′02″W / 44.973606°N 93.233844°W / 44.973606; -93.233844

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