Everything starts with an image in the mind, with a cinematic dream: the great white cliffs at the end of the movie, “Atonement”. While the waves are hitting the shore, that reunion that can never happen. But the moment we take our first step, that abstract feeling of Ludwig’s hard reality smacks us: “The world is everything that is the case; it is the totality of facts, not of things.” The exact departure times on the station boards, the numbers…
The question of how form emerges in architecture has always been one of the most fundamental debate topics of computational design. When I was a graduate student, we used to examine how abstract language structures made of words and rules turned into spatial and geometric systems. In this post, starting from the reflection of linguistic theories on architecture, we will talk about the logic of discrete aggregation that we study in the first year Design Computing courses. At the same…
The Hilbert Curve is one of the results of David Hilbert’s vision of mathematics as a network of symbolic systems. Defined in 1891, this curve is a fractal that fills a two-dimensional plane with a one-dimensional line in the limit. It exhibits self-similarity. It emerged from representing higher-dimensional spaces through continuous, lower-dimensional entities. A curve that grows within a bounded area remains continuous but non-differentiable. Yet it possesses infinite length. Perhaps no one will ever truly see or fully grasp…