3D Visualization Model of the Regular Polytopes in Four and Higher Dimensions

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Carlo H. Séquin: 3D Visualization Model of the Regular Polytopes in Four and Higher Dimensions. In: Bridges 2002. Pages 37–48



This paper presents a tutorial review of the construction of all regular polytopes in spaces of all possible dimensions . .It focusses on how to make instructive, 3-dimensional, physical visualization models for the polytopes of dimensions 4 through 6, using solid free-form fabrication technology.

Extended Abstract


Used References

[1] H. S. M. Coxeter, Regular Polytopes, McMillan Co. N.Y. (1963).

[2] N. Friedman, Hyperseeing, Hypersculptures, and Space Curves, Proc. BRIDGES, 1998, pp 139-155.

[3] G. W. Hart and Henri Picciotto, Zome Geometry: Hands-on Learning with ZomeTM Models, Key Curriculum

    Press, 2001.

[4] G. W. Hart, Rapid Prototyping of Geometric Models, Canadian Conference on Computational Geometry,

  University of Waterloo, August, 2001

[5] Brian R. Hunt, et aI, A Guide to Matlab: For Beginners and Experienced Users, Cambridge University Press


[6] D. Kochan, Solid Free-form Manufacturing: Advanced Rapid Prototyping, Manufacturing Research and

  Technology 19, Elsevier, Amsterdam, New York, (1993).

[7] A. Pugh, Polyhedra, a visual approach, Univ. of Califomi a Press, Los Angeles, 1976.

[8] Stephen Wolfram, The Mathematica Book, Cambridge University Press (2001).

[9] Polymorf construction set toy. - http://www.polymorf.netl

[10] SLIDE design environment. - http://www.cs.berkeley.edu/-uglslide/docs/slide/spec/

[11] Stratasys, FDM-Machine. - http://www.stratasys.com/

12] Z-Corporation, 3D-Printer. - http://www.zcorp.com/


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