The document discusses the golden ratio and its appearances in nature and art. It is a naturally occurring number that is represented by phi and appears in growth patterns like seashell spirals and ferns. Ancient Greeks used it in architecture for a feeling of natural order and integrity. Artists since have also used it for its aesthetically pleasing proportions. The document instructs students to choose a natural pattern using the golden ratio, like a nautilus shell or sunflower seeds, and create an original design inspired by it.

5. 1 X 1.618

6. The Parthenon was perhaps the best example of a mathematical approach to art. Parthenon, Acropolis, Athens

7. In geometry , a golden spiral is a logarithmic spiral whose growth factor b is related to φ, the golden ratio. Specifically, a golden spiral gets wider (or further from its origin) by a factor of φ for every quarter turn it makes.

8. A golden rectangle is a rectangle whose side lengths are in the golden ratio

9. Goal: To understand the Golden Ratio as a means of organizing a work of art.

10. In this assignment you will choose a pattern from nature which is created through the phenomenon of the Golden Mean such as the pattern in a Nautilus Shell or the pattern from the seed pod of a sunflower to inspire an original design Using the Golden Ratio pattern that you chose, you must determine what part of the design will be the center of interest and place it in the section of the pattern of the Golden Ratio.

12. Timeless by Design

13. www.Goldennumber .net