Potentials for Multi-dimensional Tessellations in Architectural Applications
David Celento, Edmund Harriss · ACADIA quarterly · 2011
Computationally, there exist significant potentials to integrate periodic (repeating) and aperiodic (non-repeating) tessellations in architectural applications. While exploration of two-dimensional and three-dimensional tessellations appear in historically significant works, today, higher-dimensional tessellations are capable of being generated computationally which may be useful in various architectural applications. This paper, a collaboration between an architect and mathematician, explores these processes and potentials. Insights will be offered into this early stage exploration regarding the creation and use of higher-dimensional geometries for architectural applications—such as patterning, volumetric descriptions, and modular assemblages.