Shadows of the Intangible

Regular Polytopes in Higher Dimensions

Michael Haney
University of Kentucky
Lexington, Kentucky 40506
May 9, 1997
Revised July 1997
email: mahane01@pop.uky.edu

Copyright (C) 1997. Permission is granted to anyone to make or distribute copies of this document, in any medium, provided that the copyright notice and permission notice are preserved, and that the distributor grants the recipient permission for further redistribution as permitted by this notice.

This is an undergraduate student project on polytopes in higher dimensions, and includes introductory material and some Maple worksheets.

• Introduction (Postscript file)
• Regular Polytopes(Postscript file)
• The Simplex: {3,3,3}
  • Unexecuted Maple Worksheet
  • Executed Maple Worksheet
• The Measure Polytope (The Hypercube): {4,3,3}
  • Unexecuted Maple Worksheet
  • Executed Maple Worksheet
• The Cross Polytope (The Hyperoctahedron): {3,3,4}
  • Unexecuted Maple Worksheet
  • Executed Maple Worksheet
• The 24-Cell: {3,4,3}
  • Unexecuted Maple Worksheet
  • Executed Maple Worksheet
• The 600-Cell: {3,3,5}
  • Unexecuted Maple Worksheet
  • Executed Maple Worksheet
• The 120-Cell: {5,3,3}
  • Unexecuted Maple Worksheet
  • Executed Maple Worksheet
• Summary (Postscript file)
• Model Images(Postscript file)
• Appendix A: Procedures (Maple Worksheet)
• Appendix B: Zometool (Postscript file)
• Bibliography (Postscript file)