Title: The Meta-golden Ratio Chi
Authors: Huylebrouck, Dirk
Issue Date: Aug-2014
Host Document: Proceedings of the Seoul conference pages:151-158
Conference: Bridges: Mathematical Connections in Art, Music, and Science edition:2014 location:Seoul, South-Korea date:14-19 August 2014
Abstract: Based on artistic interpretations, art professor Christopher Bartlett (Towson University, USA) independently rediscovered a mathematical constant called the ‘meta-golden section’, which had been very succinctly described 2 years earlier by Clark Kimberling. Bartlett called it ‘the chi ratio’ and denoted it by χ (the letter following φ, the golden section, in the Greek alphabet). In contrast to mathematician Kimberling, Bartlett motivated his finding on artistic considerations. They may be subject to criticism similar to the ‘golden ratio debunking’, but here we focus on showing that his chi ratio is interesting as a number as such, with pleasant geometric properties, just as the golden ratio. Moreover, Bartlett's construction of proportional rectangles using perpendicular diagonals, which is at the basis of his chi ratio, has interesting references in architecture and in art.
ISBN: 978-1-938664-11-3
Publication status: published
KU Leuven publication type: IC
Appears in Collections:Architecture, Campuses Sint-Lucas Brussels and Ghent
Department of Architecture - miscellaneous

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