Gallery of Interactive Geometry:

In order to enjoy this exhibit, you will need a Web browser that understands graphical Fill-Out Forms. See our list of browsers for more information.

QuasiTiler

Generate the famous Penrose tilings, or design your own nonperiodic tilings of the plane. In the process, you can select and visualize plane cross-sections of a lattice in anywhere from 3 up to 13 dimensions!

Kali

Kali-Jot (with free-hand drawing, for X Mosaic only)

Kali is an interactive editor for symmetric patterns of the plane, as seen in some of the woodcuts of M.C. Escher. It's also a fun way to learn about the 17 crystallographic symmetry groups of the plane.

Orbifold Pinball

Explore the effects of negatively curved space in this pinball-style game. The game board is not only curved, but also contains singularities which serve as ``bumpers'' off which the ball can bounce.

Teichmuller Navigator

Explore Teichmuller space, the space of all different angle geometries on a genus two surface. Moving through this space is accomplished by shifting the vertices of a tiling of the hyperbolic plane.

Cyberview-X, (Version 2.0 -- now with smooth shading!)

An interactive 3D viewer that works with any HTML 2.0 compatible Web browser. You can pick an object out of our predefined library, or you can learn about the OOGL format and define your own 3D objects. (You are free to choose either version of Cyberview; the only difference is the rendering system used by the server.)

Unifweb

Discover and visualize families of Riemann surfaces with a specified group of symmetries. The presentation you choose for your symmetry group corresponds geometrically to a construction of the surface as a covering of a particular orbifold.

Lafite

Work with any discrete symmetry group of the hyperbolic plane. Lafite will calculate the fundamental region and generators of the group you chose. The program then creates Escher-like patterns by replicating a motif through the action of that group.

Most of the programs presented here were written using the W3Kit library developed at the Geometry Center. This is an object-oriented toolkit for building interatvie World-Wide Web applications.

Comments to: webmaster@geom.umn.edu
Created: Late 1993? --- Last modified: Mon Mar 6 11:39:48 1995
Copyright © 1993 by The Geometry Center, all rights reserved.