Karl Reinhardt (mathematician)

Karl August Reinhardt (27 January 1895 Frankfurt am Main – 27 April 1941 Berlin) was a German mathematician who discovered the 5 tile-transitive pentagon tilings, solved the odd case of the biggest little polygon problem, and constructed the smoothed octagon conjectured to be the worst-packing point-symmetric planar convex shape. He also gave a partial solution to Hilbert's eighteenth problem by discovering an anisohedral tiling in three dimensions.

Karl August Reinhardt
BornJanuary 27, 1895 (1895-01-27)
DiedApril 27, 1941 (1941-04-28) (aged 46)


  • O'Connor, John J.; Robertson, Edmund F., "Karl August Reinhardt", MacTutor History of Mathematics archive, University of St Andrews.
  • Maier, W. (1942), "Karl Reinhardt", Jahresbericht der Deutschen Mathematiker-Vereinigung, 52: 56, ISSN 0012-0456
  • Reinhardt, Karl (1918), Über die Zerlegung der Ebene in Polygone., Dissertation Frankfurt am Main (in German), Borna-Leipzig, Druck von Robert Noske
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