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Creating a Mathematical Museum on Your Desk

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References

Mathematical models

  • Gerd (Gerhard) Fischer,Mathematische Modelle (Plates) andMathematical Models: From the Collections of Universities and Museums (English Commentary), Vieweg, Braunschweig, 1986.

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  • 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.

  • William Mueller, “Mathematical Wunderkammern,”American Mathematical Monthly 108, (2001), 785–796.

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  • Angela Vierling, list of online model collections: http://www.math. harvard.edu/angelavc/models/locations.html

Mathematical sources for the illustrated objects

  • George W. Hart, SFF files, http://www.georgehart.com/rp/rp.html

  • H.S.M. Coxeter,Regular Polytopes, 1963 (Dover reprint, 1973).

  • Michael Goldberg, “A Class of Multi-Symmetric Polyhedra,”Tohoku Mathematics Journal 43, (1937), 104–108.

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  • Benoît Mandelbrot,The Fractal Geometry of Nature, Freeman, 1982.

  • J. Skilling, “Uniform Compounds of Uniform Polyhedra,”Mathematical Proceedings of the Cambridge Philosophical Society 79 (1976), 447–457.

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  • 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.

SFF manufacturers

  • Bathsheba Grossman, http://www.bathsheba.com/math/

  • 3D Systems, http://www.3dsystems.com/

  • Extrude Hone Prometal, http://www.prometal-rt.com/

  • Stratasys Corporation, http://www.stratasys.com/

  • Z Corporation, http://www.zcorp.com/

Details of generating SFF files for mathematical forms:

  • 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.

  • George W. Hart, “Rapid Prototyping of Geometric Models,” Proceedings of Canadian Conference on Computational Geometry, August 2001.

  • 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.

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  • George W. Hart “4D Polytope Projection Models by 3D Printing,” to appear inHyperspace.

  • Jonathan Chertok, http://www.oliverlabs.net/

  • Carlo Sequin, http://www.es.berkeley, edu/~sequin/

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Authors and Affiliations

  1. Department of Computer Science, SUNY at Stony Brook, 11794, Stony Brook, NY

    George W. Hart

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  1. George W. Hart
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Correspondence to George W. Hart.

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Hart, G.W. Creating a Mathematical Museum on Your Desk. The Mathematical Intelligencer 27, 14–17 (2005). https://doi.org/10.1007/BF02985853

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