Recent decades have witnessed a surge of interest in Discrete Geometry and Convex Polytopes. This book serves as a gateway to some captivating facets of this field, encompassing both well-established concepts and lesser-known, historical, and cutting-edge findings.
It is crucial to note that this is not intended as an exhaustive or conventional introduction to the field. The content originated from lecture notes for a course taught at MIT, subsequently expanded upon due to the richness and relative scarcity of the material elsewhere. The presentation prioritizes self-containment to the greatest extent possible.
This work should not be mistaken for a research monograph or a comprehensive survey of results. The exposition varies in complexity, aiming to balance accessibility with depth.