Discrete and Computational Geometry

Discrete and Computational Geometry is a branch of mathematics focusing on the study of shapes, structures, and arrangements made up of individual points, lines, and polygons. It involves understanding how these elements interact, organize, and can be efficiently processed using algorithms. Applications include computer graphics, robotics, geographic information systems, and network design. The field helps solve practical problems like optimizing routes, modeling spatial data, and understanding complex systems, by turning geometric concepts into precise algorithms that computers can analyze and manipulate effectively.