TOPOLOGICAL ARCHITECTURE

The discovery (or invention) of topology, the new idea of space to summarise, is one of the most interesting examples of the profound repercussions that mathematical ideas will have on culture, art and architecture. In the second half of the 19th century geometry had mutated significantly. Poincaré, in Analysis Situs (Latin translation of the Greek), published in 1895, is also responsible for the official birth of the sector of mathematics that today is called Topology. <blockquote> Poincaré defined topology as the science that introduces us to the qualitative properties, of geometric figures not only in ordinary space, but also in more than 3-dimensional space. </blockquote> Adding the geometry of complex systems, fractal geometry, chaos theory and all of the “mathematical” images discovered (or invented) by mathematicians in the last thirty years using computer graphics, it is easy to see how mathematics has contributed to changing our concept of space — the space in which we live and the idea of space itself. Because mathematics is not merely a means of measurement in recipes, but has contributed, if not determined, the way in which we understand space on earth and in the universe. It is interesting to note that the study of contemporary architecture begins with the instruments that mathematics and science make possible; more than technical instruments, cultural instruments. It is important to mention that the discovery (or invention) of non-Euclidean geometry and of the higher dimensions (from the fourth on), the new idea of space to summarise, is one of the most interesting examples of the profound repercussions that mathematical ideas will have on humanistic culture and on art. <a href="https://medium.com/@AAA_Publication/topological-architecture-3e7e4288dc27">Visit Now</a>