Triangulations appear in many different parts of mathematics and computer science since they are the natural way to decompose a region of space into smaller, easy-to-handle pieces. From volume computations and meshing to algebra and topology, there are many natural situations in which one has a ?xed set of points that can be used as vertices for the triangulation. Typically one wants to ?nd an optimal triangulation of those points or to explore the set of their all triangulations. The given points may represent the "sites" for a Delaunay triangulation computation, d thetest pointsfora surfacereconstruction,ora set ofmonomials,representedaslattice pointsinZ ,inanalgebra- geometric meaning. A central theme of this book is to use the rich geometric structure of the space of triangulations of a given set of points to solve computational problems (e.g., counting the number of triangulations or ?nding optimal triangulations with respect to various criteria), and for setting up connections to novel applications in algebra, computer science, combinatorics, and optimization.Thus at the heart of the book is a comprehensive treatment of the theory of regular subdivisions, secondary polytopes, ?ips, chambers, and their interactions. Again, we ?rmly believe that understandingthe fundamentsof geometry and combinatoricspays up for algorithmsand applications.

La voz de Santos, emplazada en la intersección de lo moralista, lo costumbrista y lo picaresco, alterna pasajes artificiosos y recargados con el habla espontánea y sumamente creativa de la calle y del hampa. "Día y Noche de Madrid. Discursos de lo más notable que en él pasa" (1663) es un extraordinario catálogo de escenas y motivos delirantes que recorren la novela de principio a fin. Su recorrido urbano está plagado de episodios chocantes que tratan sin remilgos todo tipo de actividades que son censuradas por el autor como desviaciones de la norma o como prácticas prohibidas: prostitución, proxenetismo, pedofilia, estafa, adulterio, ludopatía, violencia doméstica e incluso un muy velado bestialismo (cuando no una brutal animalización de la lujuria femenina) definen a muchos madrileños de la alta alcurnia y de los bajos fondos.

Triangulations appear in many different parts of mathematics and computer science since they are the natural way to decompose a region of space into smaller, easy-to-handle pieces. From volume computations and meshing to algebra and topology, there are many natural situations in which one has a ?xed set of points that can be used as vertices for the triangulation. Typically one wants to ?nd an optimal triangulation of those points or to explore the set of their all triangulations. The given points may represent the "sites" for a Delaunay triangulation computation, d thetest pointsfora surfacereconstruction,ora set ofmonomials,representedaslattice pointsinZ ,inanalgebra- geometric meaning. A central theme of this book is to use the rich geometric structure of the space of triangulations of a given set of points to solve computational problems (e.g., counting the number of triangulations or ?nding optimal triangulations with respect to various criteria), and for setting up connections to novel applications in algebra, computer science, combinatorics, and optimization.Thus at the heart of the book is a comprehensive treatment of the theory of regular subdivisions, secondary polytopes, ?ips, chambers, and their interactions. Again, we ?rmly believe that understandingthe fundamentsof geometry and combinatoricspays up for algorithmsand applications.

La voz de Santos, emplazada en la intersección de lo moralista, lo costumbrista y lo picaresco, alterna pasajes artificiosos y recargados con el habla espontánea y sumamente creativa de la calle y del hampa. "Día y Noche de Madrid. Discursos de lo más notable que en él pasa" (1663) es un extraordinario catálogo de escenas y motivos delirantes que recorren la novela de principio a fin. Su recorrido urbano está plagado de episodios chocantes que tratan sin remilgos todo tipo de actividades que son censuradas por el autor como desviaciones de la norma o como prácticas prohibidas: prostitución, proxenetismo, pedofilia, estafa, adulterio, ludopatía, violencia doméstica e incluso un muy velado bestialismo (cuando no una brutal animalización de la lujuria femenina) definen a muchos madrileños de la alta alcurnia y de los bajos fondos.