Acknowledgemnts

• I began this work as a graduate student at Brown University, under the guidance of Thomas Banchoff. I have continued this work at University of North Florida, where I am now an assistant professor. As a summer project at Brown, I converted the article Cusps of Guass Mappings to a web-based document for The Electronic Library of Mathematics.
  
  
• Except for Mathematica, every program used in creating this web page is free. (BMRT is only free for non-commercial and educational use.) The programs were run on a Dell 450 Mhz personal computer, using RedHat Linux 6.0 for the operating system and KDE 1.1.1 for the windows manager.
  
  
• Most pictures were drawn using CenterStage and StageManager, external modules for Geomview.
  
  
• Some of the surfaces were first created using Mathematica, then ported into Geomview, then rendered using StageManager.
  
  
• Some of the more interesting pictures (see Blum's cylcide) were first created in StageManager, then rendered using BMRT 2.4d, a RenderMan compliant renderer currently distributed by Exluna. Some of the objects use the shader "funkyglass.slc" (by Larry Gritz), or a shader that was modified from this file.
  
  
• Images of mathematical equations were created by LaTeX2html.