Bridges 2011 Regular Paper
Phi Divisions of the Square: a Categorization of Composition Strategies
James Mai
(Proceedings pages 241–248)
Abstract
Artists and architects from ancient times up to the modern period
have employed proportions based on Phi, also known as the Golden
Ratio, as a system of measures for compositions. While Phi-based
compositions typically are employed within an overall Golden Rectangle
format, Phi divisions of the square format are far less common,
despite the rich compositional possibilities. This paper examines
Phi divisions of the square format and a method for deriving a
Phi-division pattern for compositional purposes. The author identifies
first-order and second-order characteristics of the Phi-division
pattern, and how those give rise to four distinct compositional
strategies in his square-format painting and digital prints.
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