"Perpetual Growth", 9.5'x3', 2011
I spent the past week-and-a-half painting a new mural at Palette Contemporary Art & Craft Gallery in Albuquerque, New Mexico. My goal was to build a non-traditional-format landscape based-upon the Golden Section, an ancient compositional tool used most notably by Renaissance painters and early adopters of Cubism. At nearly ten feet tall, it took me most of the entire first day to work-out the math for the composition of the under-painting. - North
Now some information on how I attained the composition:
Fibonacci numbers and Phi are related to spiral growth.
If you sum the squares of any series of Fibonacci numbers, they will equal the last Fibonacci number used in the series times the next Fibonacci number. This property results in the Fibonacci spiral seen in everything from sea shells to galaxies:12 + 12 + 22 + 32 + 52 = 5 x 8
12 + 12 + . . . + F(n)2 = F(n) x F(n+1)
The Golden Section is a ratio based on phi.
The Golden Section is also known as the Golden Mean, Golden Ratio and Divine Proportion. It is a ratio or proportion defined by the number Phi (1.618….)
This ratio has been used by mankind for centuries. Its use may have started as early as with the Egyptians in the design of the pyramids. The Greeks recognized it as
"dividing a line in the extreme and mean ratio" and used it for beauty and balance in the design of architecture. The Renaissance artists knew it as the Divine Proportion and used it for beauty and balance in the design of art. It was used in the design of Notre Dame in Paris and continues today in many examples of art, architecture and design.