"A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the less." -- Euclid, geometer, Elements, Book VI, Definition 3
Science Daily: Mystery of Golden Ratio Explained.
Adrian Bejan, professor of mechanical engineering at Duke's Pratt School of Engineering, thinks he knows why the golden ratio pops up everywhere: the eyes scan an image the fastest when it is shaped as a golden-ratio rectangle.
The natural design that connects vision and cognition ...
I did one on The Golden Spiral/Rectangle/Ratio/Number
ReplyDeletethe spiral is possible to parameterize by using the initial side length times (the factor (1+sqrt(5))/2 raised to an integer step function minus 1 + the factor (1+sqrt(5))/2 raised to an integer step function minus two) times the parameters for a circle i*cos(t*pi/2) + j*sin(t*pi/2)....or raise the golden ratio to the negative of those values for going the shrinking way instead or change the circle parameters for changing the spiral direction too.
Nice one.
ReplyDeleteI love that picture of the Parthenon with the lines superimposed over it...=)
Teleological language is confusing to those with confirmation biases.
ReplyDelete"It is the oneness of vision, cognition and locomotion as the design of the movement of all animals on earth," he said. "The phenomenon of the golden ratio contributes to this understanding the idea that pattern and diversity coexist as integral and necessary features of the evolutionary design of nature."
This article isn't about ID. It's about evolution. Learn to know the difference.
LOL Jeffery.
ReplyDelete