Saturday, January 16, 2010

Discussion #3 - Patterns of Beauty in Nature and Art

Patterns of Beauty in Nature and ArtWhat do the Mona Lisa, the Parthenon, and a common pinecone have in common? They all conform to a specific mathematical ration, called the “Golden Ratio,” that has fascinated the world’s greatest thinkers for millennia. The Golden Ration, also referred to as the “Divine Proportion” has an intimate and longstanding relationship between beauty, art and math.
One of the easiest ways to define the Golden Ratio is through the famous sequence of numbers named after the mathematician Fibonacci. See if you can identify the pattern in the following set of numbers: 0,1,1,2,3,5,8,13,21,34… Each number is the sum of the previous two numbers. When you divide any of the numbers (after the first few) by the one before it, you get roughly the same number (about 1.6 or Phi ΙΈ), and the value becomes increasingly refined as the numbers get larger.
This “golden” proportion, when applied visually, creates specific kinds of rectangles and spirals whose precise shapes we find all over the place in nature. Cones, shells and flowers, for example, typically illustrate the pattern in the elegant arrangement of their features. The uncanny recurrence of the ration in nature, and its mysterious connection with beauty, has inspired many artists, from Dali to the architects of the Great Pyramids, to employ it in their own composition.

Find an image or object in nature that displays the “Golden Proportions” and explain why you think it would be considered beautiful.

5 comments:

Saral S. said...

My Home.

Justin W. said...

Seashell.

Chamberlain said...

Sunflower.

Sunflowers are incredibly complicated flowers that seem like total chaos, especially in the center. However, if you take a closer look, you would see the very intricate spiral of seeds. If you count the spirals going clockwise and the ones going counterclockwise, you'd see the Fibonacci numbers start to emerge. They're magnificent in the way that they are so perfectly organized. They seem to almost hypnotize you with their spiraling beauty.

Justin W. said...

A seashell has a spiral that perfectly proportionate all the way to the center.The spiral follows the sequence that Fibonacci came up with.

Anne C. said...

See Picture.
I think the layout of this painting could be considered beautiful because that the artist put the several important objects at the intersections of the Golden Proportions in the page instead of simply paint them in the center of the page.