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Structures in shapes: a perspective from rules and embedding

Jowers, Iestyn and Earl, Christopher (2017). Structures in shapes: a perspective from rules and embedding. In: Cultural DNA Workshop 2017, 13 January 2017, KAIST Graduate School of Culture Technology.

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Abstract

Shape computations recognise parts and create new shapes through transformations. These elementary computations can be more than they seem, inducing complicated part structures as a result of recognising and transforming parts. This paper introduces, what is perhaps in principle, the simplest case where the part structure results from seeing embedded parts. It focusses on lines because, despite their visual simplicity, if a static representation for shapes is assumed, lines embedded in lines can give rise to more complicated structures than might be intuitively expected. With reference to the combinatorial structure of words the paper presents a thorough examination of these structures. It is shown that in the case of two lines, the resulting structure is always palindromic with parts defined by line segments of two different lengths. This result highlights the disparity between visual and symbolic computation when dealing with shapes – computations that are visually elementary are often symbolically complicated.

Item Type: Conference or Workshop Item
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: Design and Innovation
Innovation, Knowledge & Development research centre (IKD)
Item ID: 48220
Depositing User: Iestyn Jowers
Date Deposited: 19 Jan 2017 13:21
Last Modified: 22 Mar 2017 13:27
URI: http://oro.open.ac.uk/id/eprint/48220
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