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

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id acadia20_648
authors McLemore, Duane
year 2020
title Space Group Symmetry Generation for Design
doi https://doi.org/10.52842/conf.acadia.2020.1.648
source ACADIA 2020: Distributed Proximities / Volume I: Technical Papers [Proceedings of the 40th Annual Conference of the Association of Computer Aided Design in Architecture (ACADIA) ISBN 978-0-578-95213-0]. Online and Global. 24-30 October 2020. edited by B. Slocum, V. Ago, S. Doyle, A. Marcus, M. Yablonina, and M. del Campo. 648-657.
summary This project proposes to implement space group symmetries as a novel descriptive framework for architectural assemblies. To date there is scant examination within architectural computation of this system used to describe the 230 unique configurations of symmetry elements and operations repeating in three dimensions. This research changes this by developing HORTA, a component library for the application of the space groups within Grasshopper. This ongoing project builds a language of arrangement and connectivity from the unambiguous spatial logic and descriptive efficiency of the space groups. This is particularly useful in defining forms for digital fabrication and autonomous assembly at the scale of a material subunit—broadly defined as “bricks.” However, it is not limited to this—HORTA has potential for application across scales, wherever control of repetition and combination with a minimal instruction set is useful. The result is not a tool for a singular design process or specific formal outcomes, but a new system for describing aggregations that inherently balance novelty and predictability. With HORTA, aggregations can be proposed that are composed of a finite but scalable number of possible subunits. Inherently symmetrical, any increase in complexity is realized as an increase in rotations and frequencies of similar subunits rather than an increase in unique unit variants. HORTA theorizes that this previously underexplored area of computation can open sophistication not just in forms but in the description of aggregations with minimal instruction sets, resulting in new methods for the calculation and fabrication of architecture.
series ACADIA
type paper
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