Dancing with Isometries in Architecture

Abstract

This paper aims to emphasize the role of mathematics in computational designeducation. A computational design process that forces designers to design not only theend product but also the design process itself requires a mind shift to enable thedesigner to develop algorithms and skills to deal with complex relations. In this context,understanding rule-based systems, generative systems, parametric models andcorresponding dimensionalities responding to the forces, variables, patterns, and themathematics behind them, becomes crucial. Illustrating the reciprocal relationshipbetween mathematics and architecture pattern studies offers great potentials. In thispaper, a series of explorations have been presented. In this exploration dance acts asa medium of inquiry into how different complexities can be mapped, how rules can begenerative (as first introduced in patterns) and how a set of rules can be transcodedinto a complex domain.