Triangulations in Mathematics Zhou Zhen Department of Computer Science HKUST October 3, 2003 11-11:50 AM Room 3501, HKUST Abstract: When solving a difficult problem it is natural idea to decompose complicated objects into smaller, easy-to-handle pieces. We will look at such decompositions, triangulation of point sets, from many different points of view. We explore their combinatorial and geometric properties as well as some algorithmic issues arising along the way. Some motivating examples will be informally introduced to show that triangulations are rather useful and they appear in many areas of mathematics.