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3 Geometry on the WWW

Check out :

The Geometry Center Presents . . . 

A Gallery of Interactive On-Line Geometry

 In order to enjoy this exhibit, you will need a Web browser that understands
 Fill-Out Forms (such as Mosaic version 2). 

QuasiTiler, by Eugenio Durand (New! Version 2.0) 

   Generate your own nonperiodic tilings of the plane! Explore particular
   sections of a 5-dimensional lattice to generate the famous Penrose tilings or
   work with any lattice from 3 to 9 dimensions to produce a unique tiling you
   can take home with you. 

Lafite, by Adam Deaton 

   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. 

Teichmuller Navigator, by Deva van der Werf 

   Explore Teichmuller space, the space of all different angle geometries on a
   genus two surface. Moving through this space is accomplished by shifting
   vertices of a central octagon in a tiling of the hyperbolic plane by regular
   octagons. But don't push too hard or you might leave the space! 

Cyberview and Cyberview-X, by Paul Burchard 

   An interactive 3D viewer that works with any fill-out-form capable 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, by Carlos O'Ryan 

   This program lets you discover and visualize Riemann surfaces with a
   specified group of symmetries. Different families of surfaces can be
   constructed for the same symmetry group by choosing different generators
   and relations. The choice of a presentation corresponds geometrically to
   constructing the surface as a cover of a particular orbifold.



Wm Randolph Franklin
Tue Mar 19 22:06:32 EST 1996