Ideas of Combinatorial Geometry

  • Alexander Soifer


In this section we discuss (without proof) some properties of convex figures in the plane. A figure M is called convex if, together with every two points a, b, it contains the whole segment [a, b], (Figure 13.1). Triangles, parallelograms, and trapezoids are convex (Figure 13.2). Disks, sectors with a central angle not exceeding 180°, and segments of disks are also convex (Figure 13.3); so is any segment and any single point. Some nonconvex figures are shown in Figure 13.4.


Convex Hull Boundary Point Convex Body Compact Convex Convex Polygon 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer New York 2010

Authors and Affiliations

  1. 1.College of Letters, Arts and SciencesUniversity of ColoradoColorado SpringsUSA

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