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Debating Grassmann’s Mathematics: Schlegel vs. Klein

In: A Richer Picture of Mathematics

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  • David E. Rowe

    (Johannes Gutenberg-Universität Mainz, Institut für Mathematik)

Abstract

Mathematical fame can be a fickle thing, little more enduring than its mundane counterparts, success and recognition. Sometimes it sticks, but for odd or obscure reasons. Take the case of a largely forgotten figure named Victor Schlegel (1843–1905): googling for “Schlegel diagrams” immediately brings up scads of colored graphics depicting plane projections of 4-dimensional polyhedra. None that I found, however, could compare with the figures that appear in a little-known paper (Schlegel 1883). It seems these figures are aptly named, but how and when they came to be called Schlegel diagrams remains a mystery (see also (Schlegel 1886)). In fact, clicking through Wikipedia, MacTutor, and their progeny for Victor Schlegel turns up nothing; nor does he appear in standard compendia, like the Lexikon bedeutender Mathematiker.

Suggested Citation

  • David E. Rowe, 2018. "Debating Grassmann’s Mathematics: Schlegel vs. Klein," Springer Books, in: A Richer Picture of Mathematics, chapter 9, pages 95-103, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-67819-1_9
    DOI: 10.1007/978-3-319-67819-1_9
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