synonyms: phi, golden ratio, golden mean, golden section, golden number, golden rectangle ???
tags: [architecture] [art]
► definition
Definition:
The golden ratio.
Two quantities a and b are said to be in the golden ratio φ if
where the Greek letter phi represents the golden ratio. Its value is:
[...]
Ancient Greek mathematicians first studied what we now call the golden ratio because of its frequent appearance in geometry. The division of a line into "extreme and mean ratio" (the golden section) is important in the geometry of regular pentagrams and pentagons.
"when he told you about the pentacle, did he mention goddess worship or any resentment of the Catholic Church?"
Sophie shook her head. "I was more interested in the mathematics of it - the Divine Proporiton, PHI, Fibonacci sequences, that sort of thing."
Dan Brown. The DaVinci Code
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De divina proportione (On the Divine Proportion) is a book on mathematics written by Luca Pacioli and illustrated by Leonardo da Vinci, composed around 1498 in Milan and first printed in 1509.[1] Its subject was mathematical proportions (the title refers to the golden ratio) and their applications to geometry, visual art through perspective, and architecture. The clarity of the written material and Leonardo's excellent diagrams helped the book to achieve an impact beyond mathematical circles, popularizing contemporary geometric concepts and images.[2][3]