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A Richer Picture of MathematicsDebating Grassmann’s Mathematics: Schlegel vs. Klein

A Richer Picture of Mathematics: Debating Grassmann’s Mathematics: Schlegel vs. Klein [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.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Richer Picture of MathematicsDebating Grassmann’s Mathematics: Schlegel vs. Klein

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Publisher
Springer International Publishing
Copyright
© Springer International Publishing AG 2018
ISBN
978-3-319-67818-4
Pages
95 –103
DOI
10.1007/978-3-319-67819-1_9
Publisher site
See Chapter on Publisher Site

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.]

Published: Feb 14, 2018

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