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Pinwheel patterns: from 2D to 3D schemas

Earl, Christopher F. and Jowers, Iestyn (2015). Pinwheel patterns: from 2D to 3D schemas. Nexus Network Journal, 17(3) pp. 899–912.

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DOI (Digital Object Identifier) Link: https://doi.org/10.1007/s00004-015-0266-4
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Abstract

Pinwheels are generic configurations in architectural layout planning. Planar pinwheels provide familiar schemes for layouts which present design ‘in the round’ with a cyclic symmetry. The paper examines the 3-D versions of 2-D pinwheels where a ‘locked’ joint with three rectangular volume elements aligned along orthogonal axes is a characteristic feature. Pairing handed versions of these locked joints yields a candidate for a 3-D pinwheel schema with six repeated volume elements and threefold cyclic symmetry. Shape rules, based on spatial relations between volumes, generate this and other examples of 3-D pinwheel schemas. These schemas are set in a wider analysis of the numbers and types of joints in 3-rectangulations in terms of maximal bounding planes. The bounding-plane views of the arrangements is set alongside more functional volume descriptions which enables the elements and relations in architectural form to be (re)generated and (re)interpreted both ‘in view’ and ‘in use’.

Item Type: Journal Item
Copyright Holders: 2015 Kim Williams Books
ISSN: 1522-4600
Keywords: pinwheel; rectangulation; spatial relation; shape rule; schema
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Engineering and Innovation
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Interdisciplinary Research Centre: Innovation, Knowledge & Development research centre (IKD)
Design and Innovation
Item ID: 44125
Depositing User: Iestyn Jowers
Date Deposited: 21 Aug 2015 09:11
Last Modified: 22 Mar 2017 20:29
URI: http://oro.open.ac.uk/id/eprint/44125
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