You can thank Benoit Mandelbrot
for introducing us in 1975 to fractals.
A fractal is a geometric shape that has self similarity-when fragmented, smaller sections mimic the whole.
The closer you zoom in on a Mandelbrot set, the more intricate it becomes.
Do you think 60's artist, Peter Max
saw what was coming in the future?
The merging of math and art is not a new concept.
"What distinguishes fractal geometry within mathematics is an exceptional and uncanny characteristic. Its first steps are not tedious, hard and unrewarding, but playful and extraordinarily easy, and provide rich reward in terms of stunning graphics. To the mathematician , they bring a bounty of very difficult conjectures that no one can solve. To the artist, they provide backbones around which imagination can play at will. To everyone, a few steps in about any direction bring extraordinary pleasure. Nothing is more serious than play. Let's all play."
Fine artists have used math for centuries to develop pleasing compositions...beauty
....to the eye. This symmetry is based on the Fibonacci numbers
The golden rati
o is seen over and over in nature. Fractals occur in nature as well...a basic shape occurring over and over in a plant making a pleasing pattern.
Symmetry through math in nature produces beauty to the human eye.
The fibonacci series can be used to produce arcs and curves perfectly proportioned.
Art and math.....working together to create the intangible quality of beauty.
Thank you Jans Berghuis for making me think!