@misc{Ziegler1993, author = {Ziegler, G{\"u}nter M.}, title = {Lectures on Polytopes.}, number = {TR-93-06}, year = {1993}, abstract = {These lecture notes have several aims: \begin{itemize} \item to give an introduction to some basic facts about convex polytopes, with an emphasis on the basic methods that yield them (Fourier-Motzkin elimination, Schlegel diagrams, shellability, Gale transforms and oriented matroids), \item to discuss some important examples and elegant constructions (cyclic and neighborly polytopes, zonotopes, Minkowski sums, permutahedra and associahedra, fiber polytopes, the Lawrence construction) \item and to illustrate why polytope theory is exciting, with highlights like Kalai's new diameter bounds, the construction of non-rational polytopes, the Bohne-Dress tiling theorem, shellability and the upper bound theorem, .... \end{itemize} For several of these topics the decisive break-through is very recent, which suggests that there is much more discovered.}, language = {en} } @article{ZieglerHegeDuda2005, author = {Ziegler, G{\"u}nter M. and Hege, Hans-Christian and Duda, Georg}, title = {Neue Bilder f{\"u}r die Medizin?}, volume = {13(3)}, journal = {DFN-Mitteilungen}, pages = {163 -- 167}, year = {2005}, language = {en} } @incollection{PolthierBobenkoHildebrandtetal.2014, author = {Polthier, Konrad and Bobenko, Alexander and Hildebrandt, Klaus and Kornhuber, Ralf and Tycowicz, Christoph von and Yserentant, Harry and Ziegler, G{\"u}nter M.}, title = {Geometry processing}, volume = {1}, booktitle = {MATHEON - Mathematics for Key Technologies}, publisher = {EMS Publishing House}, isbn = {978-3-03719-137-8}, doi = {10.4171/137}, pages = {341 -- 355}, year = {2014}, language = {en} } @misc{PolthierSullivanZiegleretal.2014, author = {Polthier, Konrad and Sullivan, John and Ziegler, G{\"u}nter M. and Hege, Hans-Christian}, title = {Visualization}, journal = {MATHEON - Mathematics for Key Technologies}, editor = {Deuflhard, Peter and et al.,}, publisher = {European Mathematical Society}, isbn = {978-3-03719-137-8}, doi = {10.4171/137}, pages = {335 -- 339}, year = {2014}, language = {en} } @article{SanyalWernerZiegler2009, author = {Sanyal, Raman and Werner, Axel and Ziegler, G{\"u}nter}, title = {On Kalai's conjectures concerning centrally symmetric polytopes.}, volume = {41}, journal = {Discrete Comput. Geom.}, number = {2}, doi = {10.1007/s00454-008-9104-8}, pages = {183 -- 198}, year = {2009}, language = {en} }