Triangulations pp 209-274 | Cite as

Regular Triangulations and Secondary Polytopes

  • Jesús A. De LoeraEmail author
  • Jörg Rambau
  • Francisco Santos
Part of the Algorithms and Computation in Mathematics book series (AACIM, volume 25)


In this chapter we unveil the beautiful structure of the set of all regular subdivisions and, in particular, of all regular triangulations of a point or vector configuration. The two main ingredients for this are the definitions of regular subdivisions and of the refinement poset (see Section 2.2.3 and Definition 2.3.8, respectively), that we now recall:


Hyperplane Arrangement Oriented Matroid Regular Triangulation Chamber Cone Secondary Cone 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Jesús A. De Loera
    • 1
    Email author
  • Jörg Rambau
    • 2
  • Francisco Santos
    • 3
  1. 1.Department of MathematicsUniversity of California, DavisDavisUSA
  2. 2.Lehrstuhl für WirtschaftsmathematikUniversität BayreuthBayreuthGermany
  3. 3.Depto. Matemáticas Estadística y ComputaciónUniversidad de CantabriaSantanderSpain

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