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The grammar of developable double corrugations (for formal architectural applications)

Mitra, A.; (2009) The grammar of developable double corrugations (for formal architectural applications). Masters thesis , UCL (University College London). Green open access

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Abstract

This paper investigates the geometrical basis of regular corrugations, with specific emphasis on Developable Double Corrugations (DDCs), which form a unique sub-branch of Origami Folding and Creasing Algorithms. The aim of the exercise is three fold – (1) To define and isolate a ‘single smallest starting block’ for a given set of distinct and divergent DDC patterns, such that this starting block becomes the generator of all DDCs when different generative rules are applied to it. (2) To delineate those generic parameters and generative rules which would apply to the starting block, such that different DDCs are created as a result (3) To use the knowledge from points (1) and (2) to create a complete family of architectural forms and shapes using DDCs. For this purpose, a matrix of 12 underlying geometry types are identified and used as archetypes. The objective is to mathematically explore DDCs for architectural form finding, using physical folding as a primary algorithmic tool. Some DDCs have more degrees of freedom than others and can fit varied geometries, while others cannot. The discussion and conclusions involve - (a) identifying why certain DDCs are ideal for certain forms and not others, when all of them are generated using the same/or similar starting block(s), (b) discussing the critical significance of flat-foldability in this specific context and (c) what we can do with this knowledge of DDCs in the field of architectural research and practice in the future.

Type: Thesis (Masters)
Title: The grammar of developable double corrugations (for formal architectural applications)
Open access status: An open access version is available from UCL Discovery
Language: English
Additional information: Approved for UCL Eprints by Mr A. Turner, The Bartlett School of Graduate Studies
UCL classification:
URI: https://discovery.ucl.ac.uk/id/eprint/19041
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