INFINITEsimal
The research studio investigated non-linear algorithmic procedures at both a methodological and tectonic level by studying the fourth spatial dimension. This project proposes a hybrid program of an archive and a spiritual function, exploring the idea of infinity and how they can be experienced conceptually and spatially.
The following postulates form the framework of the investigation:
1. The fourth spatial dimension can be described as an extrusion of our three-dimensional world in a direction perpendicular to the perceivable three (the most basic geometry being the simplex, the equivalent of a triangle in 2D). Thus, our reality is merely an infinitesimal slice of the compounded folds in space-time. Similarly, one could allude to the current collection of human knowledge as merely a slice of the infinite continuum of universal understanding. 2. Illustrated in Zeno?s paradox, ?Achilles and the Tortoise,? recursive subdivision may be used as a method of creating a virtual infinitude within a finite geometry. These self-similar geometries inevitably converge to points of infinitesimal size.
3. In order to perceive a four-dimensional geometry, one may utilize contours or other projection methods. The ?point at infinity,? used in stereographic projection creates a vanishing ?horizon? as the geometry approaches the point of projection.
The design describes a simplex subdivided by a ruleset which created points of convergence. Once projected into three-dimensions, t...