University of Minnesota Geometry Center
Overview
Works:  24 works in 35 publications in 2 languages and 292 library holdings 

Genres:  Educational films Conference papers and proceedings Short films Nonfiction films Nonfiction television programs Interviews Animated films Television program excerpts 
Roles:  Researcher 
Classifications:  QA611, 512.2 
Publication Timeline
.
Most widely held works about
University of Minnesota
 The Geometry Center by University of Minnesota( Book )
Most widely held works by
University of Minnesota
Not knot(
Visual
)
4 editions published between 1991 and 2011 in English and German and held by 102 WorldCat member libraries worldwide
This video is a guided tour into computer animated hyperbolic space. It proceeds from the world of knots to its complementary space, what's not a knot. It shows the geometry of the knot complement, the space around the knot and then the viewer sees what it is like to "fly through' the hyperbolic space. The supplement contains the video script and provides further explanation
4 editions published between 1991 and 2011 in English and German and held by 102 WorldCat member libraries worldwide
This video is a guided tour into computer animated hyperbolic space. It proceeds from the world of knots to its complementary space, what's not a knot. It shows the geometry of the knot complement, the space around the knot and then the viewer sees what it is like to "fly through' the hyperbolic space. The supplement contains the video script and provides further explanation
Outside in by
Margaret Williams(
Visual
)
6 editions published between 1994 and 2009 in English and held by 95 WorldCat member libraries worldwide
Discusses the problem of turning a sphere inside out without creating sharp bends or creases, illustrating an application of turning points
6 editions published between 1994 and 2009 in English and held by 95 WorldCat member libraries worldwide
Discusses the problem of turning a sphere inside out without creating sharp bends or creases, illustrating an application of turning points
Making waves : a guide to the ideas behind Outside in by
Silvio Levy(
Book
)
1 edition published in 1995 in English and held by 34 WorldCat member libraries worldwide
Discusses the problem of turning a sphere inside out without creating sharp bends or creases, illustrating an application of turning points
1 edition published in 1995 in English and held by 34 WorldCat member libraries worldwide
Discusses the problem of turning a sphere inside out without creating sharp bends or creases, illustrating an application of turning points
The shape of space(
Visual
)
1 edition published in 1998 in English and held by 18 WorldCat member libraries worldwide
With the use of computer graphics and nontechnical language, author Jeffrey Weeks explains the idea of topology, an area of mathematics important for theorizing about the shape of the universe. A glimpse of nonEuclidean geometry is provided by showing how a twodimensional space a "fundamental domain", may be considered to be the surface of a torus, with properties different from those of a different plane. The analogy is extended by showing a cube as a fundamental domain. Also included is an interview with Jeffrey Weeks
1 edition published in 1998 in English and held by 18 WorldCat member libraries worldwide
With the use of computer graphics and nontechnical language, author Jeffrey Weeks explains the idea of topology, an area of mathematics important for theorizing about the shape of the universe. A glimpse of nonEuclidean geometry is provided by showing how a twodimensional space a "fundamental domain", may be considered to be the surface of a torus, with properties different from those of a different plane. The analogy is extended by showing a cube as a fundamental domain. Also included is an interview with Jeffrey Weeks
Supplement to Not knot by David Epstein(
Book
)
2 editions published between 1991 and 2001 in English and held by 6 WorldCat member libraries worldwide
2 editions published between 1991 and 2001 in English and held by 6 WorldCat member libraries worldwide
Gallery of interactive geometry(
)
in English and held by 4 WorldCat member libraries worldwide
"These are programs that you can run over the Web using the fillout forms capabilities of your browser. They allow you to investigate some interesting areas of current mathematics by providing you with the means to manipulate the mathematical objects directly. Most include descriptions of the underlying theory, as well as interactive graphics. These include QuasiTiler, Cyberview, Kali, and Orbifold Pinball."
in English and held by 4 WorldCat member libraries worldwide
"These are programs that you can run over the Web using the fillout forms capabilities of your browser. They allow you to investigate some interesting areas of current mathematics by providing you with the means to manipulate the mathematical objects directly. Most include descriptions of the underlying theory, as well as interactive graphics. These include QuasiTiler, Cyberview, Kali, and Orbifold Pinball."
Not knot(
Book
)
2 editions published in 1992 in German and held by 3 WorldCat member libraries worldwide
2 editions published in 1992 in German and held by 3 WorldCat member libraries worldwide
Geometric and computational perspectives on infinite groups : proceedings of a joint DIMACS/Geometry Center workshop, January
314 and March 1720, 1994 by Workshop on Geometric Group Theory(
Book
)
1 edition published in 1996 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 2 WorldCat member libraries worldwide
Advances in Nonlinear Astrodynamics Conference : November 810, 1993 by Advances in Nonlinear Astrodynamics Conference(
Book
)
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
The Geometry Center : center for the computation and visualization of geometric studies by
University of Minnesota(
)
in English and held by 2 WorldCat member libraries worldwide
This Web site is an online companion to the Geometry Center, a mathematics research and education center at the University of Minnesota. The Center has a unified mathematics computing environment supporting math and computer science research, software development, video animation production, K16 math education, and more. Find out about current projects, read hypertext papers, view geometry graphic images, and download software
in English and held by 2 WorldCat member libraries worldwide
This Web site is an online companion to the Geometry Center, a mathematics research and education center at the University of Minnesota. The Center has a unified mathematics computing environment supporting math and computer science research, software development, video animation production, K16 math education, and more. Find out about current projects, read hypertext papers, view geometry graphic images, and download software
The optiverse(
Visual
)
1 edition published in 1998 in English and held by 2 WorldCat member libraries worldwide
Computeranimated videos showing a new way to turn a sphere inside out and complicated unknot untangling
1 edition published in 1998 in English and held by 2 WorldCat member libraries worldwide
Computeranimated videos showing a new way to turn a sphere inside out and complicated unknot untangling
Not knot(
Visual
)
1 edition published in 1992 in German and held by 2 WorldCat member libraries worldwide
1 edition published in 1992 in German and held by 2 WorldCat member libraries worldwide
Not knot : Knoten ohne Knoten(
Visual
)
1 edition published in 1991 in German and held by 1 WorldCat member library worldwide
1 edition published in 1991 in German and held by 1 WorldCat member library worldwide
The geometry and topology of the Costa surface(
Visual
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
This computergenerated video explains how the Costa surface is topologically a torus
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
This computergenerated video explains how the Costa surface is topologically a torus
The shape of space(
Visual
)
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
With the use of computer graphics and nontechnical language, author Jeffrey Weeks explains the idea of topology, an area of mathematics important for theorizing about the shape of the universe. A glimpse of nonEuclidean geometry is provided by showing how a twodimensional space a "fundamental domain", may be considered to be the surface of a torus, with properties different from those of a different plane. The analogy is extended by showing a cube as a fundamental domain. Also included is an interview with Jeffrey Weeks
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
With the use of computer graphics and nontechnical language, author Jeffrey Weeks explains the idea of topology, an area of mathematics important for theorizing about the shape of the universe. A glimpse of nonEuclidean geometry is provided by showing how a twodimensional space a "fundamental domain", may be considered to be the surface of a torus, with properties different from those of a different plane. The analogy is extended by showing a cube as a fundamental domain. Also included is an interview with Jeffrey Weeks
Viro's patchworking disproves Ragsdale's conjecture(
Visual
)
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
This animated video explains new developments concerning Hilbert's sixteenth problem, still unsolved, dealing with ways nonsingular level sets of polynomials can be arranged in the projected plane. Mathematician Virginia Ragsdale had conjectured an upper bound on the number of topological circles resulting from algebraic curves of degree 2k. After almost 90 years, Oleg Viro has proposed a new combinatorial method for constructing curves, known as patchworking, which has shown counterexamples to the Ragsdale Conjecture
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
This animated video explains new developments concerning Hilbert's sixteenth problem, still unsolved, dealing with ways nonsingular level sets of polynomials can be arranged in the projected plane. Mathematician Virginia Ragsdale had conjectured an upper bound on the number of topological circles resulting from algebraic curves of degree 2k. After almost 90 years, Oleg Viro has proposed a new combinatorial method for constructing curves, known as patchworking, which has shown counterexamples to the Ragsdale Conjecture
1992 annual report to the National Science Foundation(
)
1 edition published in 1992 in English and held by 0 WorldCat member libraries worldwide
The Geometry Center research program has a number of different aspects. This report documents the work of the past year. The activities described here are organized under intertwined areas: manifold geometry and associated group theory; optimal geometries; dynamical systems; and computational geometry and computer graphics
1 edition published in 1992 in English and held by 0 WorldCat member libraries worldwide
The Geometry Center research program has a number of different aspects. This report documents the work of the past year. The activities described here are organized under intertwined areas: manifold geometry and associated group theory; optimal geometries; dynamical systems; and computational geometry and computer graphics
Center for computation and visualization of geometric structures. Final report, 19921995(
)
1 edition published in 1995 in English and held by 0 WorldCat member libraries worldwide
This report describes the overall goals and the accomplishments of the Geometry Center of the University of Minnesota, whose mission is to develop, support, and promote computational tools for visualizing geometric structures, for facilitating communication among mathematical and computer scientists and between these scientists and the public at large, and for stimulating research in geometry
1 edition published in 1995 in English and held by 0 WorldCat member libraries worldwide
This report describes the overall goals and the accomplishments of the Geometry Center of the University of Minnesota, whose mission is to develop, support, and promote computational tools for visualizing geometric structures, for facilitating communication among mathematical and computer scientists and between these scientists and the public at large, and for stimulating research in geometry
1991 annual report to the National Science Foundation(
)
1 edition published in 1991 in English and held by 0 WorldCat member libraries worldwide
The Geometry Center research program has a number of different aspects, most of which involve longer term commitments, such as, development of research software, teams of individuals visually exploring mathematical structures and sponsoring of workshops. The Center is built on the research programs of its faculty. These programs have flourished and interacted under the Center umbrella. There are many interconnections and commonalities between the fields represented. Here, a summary of the research work of each of the faculty members. Some of the research topics are geometric calculus of variations, group theory, geometric algorithms, and computer graphics
1 edition published in 1991 in English and held by 0 WorldCat member libraries worldwide
The Geometry Center research program has a number of different aspects, most of which involve longer term commitments, such as, development of research software, teams of individuals visually exploring mathematical structures and sponsoring of workshops. The Center is built on the research programs of its faculty. These programs have flourished and interacted under the Center umbrella. There are many interconnections and commonalities between the fields represented. Here, a summary of the research work of each of the faculty members. Some of the research topics are geometric calculus of variations, group theory, geometric algorithms, and computer graphics
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Maxwell, Delle Director
 Gunn, Charlie Author of screenplay Director Editor
 Levy, Silvio Author
 Thurston, William P. 19462012
 Geometry Supercomputer Project
 Epstein, D. B. A. Author of screenplay
 Jones & Bartlett Publishers
 BenZvi, David
 AK Peters, Ltd
 Munzer, Tamara Director
Associated Subjects
Astrodynamics Computer animation Curves, Algebraic Geometric group theory Geometry Geometry, Hyperbolic GeometryStudy and teaching GeometryStudy and teachingData processing Hyperbolic spaces Knot theory Mathematics MathematicsData processing MathematicsResearch MathematicsStudy and teaching Minnesota Modern dance Ragsdale, Virginia Smale, Stephen, Sphere Surfaces Threemanifolds (Topology) Topological manifolds Topology Torus (Geometry) University of Minnesota.Geometry Center Viro, O. I︠A︡., Waves Weeks, Jeffrey R.,