computational geometry

Here is a simple explanation of the famous Euclidean Constructions: Why didn’t Euclid just measure things with a ruler and calculate lengths? For example, one of the basic constructions is bisecting a line (dividing it into two equal parts). Why not just measure it with…

When I was younger, among the branches of philosophy, I had studied a little logic and, among the subjects of mathematics, geometrical analysis and algebra, three arts or sciences which looked as if they ought to contribute something to my project. But in looking at…

Here is the preface of the famous book “Architectural Geometry”. It simply encourages me to learn new things every day even sometimes it seems to become impossible. Geometry lies at the core of the architectural design process. It is omnipresent, from the initial form-finding stages…

Here are several passages from Shamos’s dissertation thesis, where he is studying the history of geometry from the perspective of a computer scientist. This topic always fascinated me. However, this is a good reading for the algorithmic roots of geometry. “…Egyptian and Greek geometry were…

…While it is true that every curve which can be described by a continuous motion should ve recognized in geometry, this does not mean that we should use at random the first one that we meet in the construction of a given problem. We should…

Searching for a meaning to today’s popular design methods and concepts we are all going after. Most of the abstract problems, today described within architectural domains, are very parallel to another field defined by M. Ian Shamos in 1978. Here is the introduction paragraph of…