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The Mathematical Intelligencer

, Volume 27, Issue 4, pp 14–17 | Cite as

Creating a Mathematical Museum on Your Desk

  • George W. Hart
Article

Keywords

Selective Laser Sinter Nexus Network Journal Solid Freeform Fabrication Icosahedral Symmetry Selective Laser Sinter Process 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

Mathematical models

  1. Gerd (Gerhard) Fischer,Mathematische Modelle (Plates) andMathematical Models: From the Collections of Universities and Museums (English Commentary), Vieweg, Braunschweig, 1986.Google Scholar
  2. Peggy Kidwell, “American Mathematics Viewed Objectively: The Case of Geometric Models,” inVita Mathematical Historical Research and Integration with Teaching, Ron Calinger ed., MM, 1996, pp. 197–208.Google Scholar
  3. William Mueller, “Mathematical Wunderkammern,”American Mathematical Monthly 108, (2001), 785–796.CrossRefMATHMathSciNetGoogle Scholar
  4. Angela Vierling, list of online model collections: http://www.math. harvard.edu/angelavc/models/locations.htmlGoogle Scholar

Mathematical sources for the illustrated objects

  1. George W. Hart, SFF files, http://www.georgehart.com/rp/rp.htmlGoogle Scholar
  2. H.S.M. Coxeter,Regular Polytopes, 1963 (Dover reprint, 1973).Google Scholar
  3. Michael Goldberg, “A Class of Multi-Symmetric Polyhedra,”Tohoku Mathematics Journal 43, (1937), 104–108.Google Scholar
  4. Benoît Mandelbrot,The Fractal Geometry of Nature, Freeman, 1982.Google Scholar
  5. J. Skilling, “Uniform Compounds of Uniform Polyhedra,”Mathematical Proceedings of the Cambridge Philosophical Society 79 (1976), 447–457.CrossRefMATHMathSciNetGoogle Scholar
  6. Alicia Boole Stott, “Geometrical deduction of semiregular from regular polytopes and space fillings,”Verhandelingen der Koninklijke Akademie van Wetenschappen te Amsterdam, (eerste sectie), 11, No. 1 (1910) 1–24 plus 3 plates.Google Scholar

SFF manufacturers

  1. Bathsheba Grossman, http://www.bathsheba.com/math/Google Scholar
  2. 3D Systems, http://www.3dsystems.com/Google Scholar
  3. Extrude Hone Prometal, http://www.prometal-rt.com/Google Scholar
  4. Stratasys Corporation, http://www.stratasys.com/Google Scholar
  5. Z Corporation, http://www.zcorp.com/Google Scholar

Details of generating SFF files for mathematical forms:

  1. G. Hart, “Solid-Segment Sculptures,” Proceedings of Colloquium on Math and Arts, Maubeuge, France, 20–2–22 Sept. 2000, and inMathematics and Art, Claude Brute ed., Springer-Verlag, 2002.Google Scholar
  2. George W. Hart, “Rapid Prototyping of Geometric Models,” Proceedings of Canadian Conference on Computational Geometry, August 2001.Google Scholar
  3. George W. Hart, “In the Palm of Leonardo’s Hand,”Nexus Network Journal, vol. 4, no. 2, Spring 2002; reprinted inSymmetry: Culture and Science, vol. 11, 2000 (appeared 2003), pp. 17–25.Google Scholar
  4. George W. Hart “4D Polytope Projection Models by 3D Printing,” to appear inHyperspace.Google Scholar
  5. Jonathan Chertok, http://www.oliverlabs.net/Google Scholar
  6. Carlo Sequin, http://www.es.berkeley, edu/~sequin/Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Department of Computer ScienceSUNY at Stony BrookStony Brook

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