CumInCAD is a Cumulative Index about publications in Computer Aided Architectural Design
supported by the sibling associations ACADIA, CAADRIA, eCAADe, SIGraDi, ASCAAD and CAAD futures

id acadia16_236
authors Pineda, Sergio; Arora, Mallika; Williams, P. Andrew; Kariuki, Benson M.; Harris, Kenneth D. M.
year 2016
title The Grammar of Crystallographic Expression
source ACADIA // 2016: POSTHUMAN FRONTIERS: Data, Designers, and Cognitive Machines [Proceedings of the 36th Annual Conference of the Association for Computer Aided Design in Architecture (ACADIA) ISBN 978-0-692-77095-5] Ann Arbor 27-29 October, 2016, pp. 236-243
summary This paper stems from a research collaboration which brings together two disciplines at different ends of the scale spectrum: crystallography and architecture. The science of crystallography demonstrates that the properties of crystalline materials are a function of atomic/molecular interactions and arrangements at the atomic level—i.e., functions of the form and structure of the material. Some of these nano-geometries are frameworks with special characteristics, such as uni-directional porosity, multi-directional porosity, and varied combinations of flexibility and strength. This paper posits that the symmetry operations implicit in these materials can be regarded as a spatial grammar in the design of objects, spaces, and environments. The aim is to allow designers and architects to access the wealth of structural information that is now accumulated in crystallographic databases as well as the spatial symmetry logics utilized in crystallography to describe molecular arrangements. To enable this process, a bespoke software application has been developed as a tool-path to allow for interoperability between crystallographic datasets and CAD-based modelling systems. The application embeds the descriptive logic and generative principles of crystallographic symmetry. Using this software, the project, inter alia, produces results related to a class of geometrical surfaces called Triply Periodic Minimal (TPM) surfaces. In addition to digital iterations, a physical prototype of one such surface called the gyroid was constructed to test potential applications in design. The paper describes the development of these results and the conclusions derived from the first stage of user testing.
keywords interdisciplinarity, physical prototyping, triply periodic minimal surfaces, computational workflow, bespoke software, crystallographic space groups, nano-scale symmetry, nano-scale periodicity, molecular geometry, crystallographic expression
series ACADIA
type paper
full text file.pdf (833,715 bytes)
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100%; open Gandy, Paul J. F., and Jacek Klinowski (2000) Find in CUMINCAD Exact Computation of the Triply Periodic G (‘Gyroid’) Surface , Chemical Physics Letters 321 (5–6): 363–371
100%; open Hyde, Stephen T., Michael O’Keeffe, and Davide M. Proserpio (2008) Find in CUMINCAD A Short History of an Elusive Yet Ubiquitous Structure in Chemistry, Materials, and Mathematics , Angewandte Chemie International Edition 47 (42): 7996–8000.

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