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# Proportion

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golden mean

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### Proportion

1. 1. Proportion <ul><li>The principle of art concerned with size relationship of one part to another </li></ul>
2. 2. The golden mean <ul><li>A line divided into 2 parts so that the smaller line the same proportion, or ratio, to the larger line as the larger line has to the whole line. </li></ul>
3. 3. <ul><li>The Golden Mean, 1.6 1803398874989…, represented by the Greek letter phi , is a naturally occurring number, like pi, that repeatedly occurs in various relationships. Like pi, it is an irrational number. Unlike pi, it clearly and regularly appears in the growth patterns of many living things, like the spiral formed by a seashell or the curve of a fern. It is in fact the only growth pattern that, if continued, is not doomed to failure. It was derived by the ancient Greeks and was used by them and the ancient Egyptians in the design of their buildings and monuments. They had discovered they could create a feeling of natural order, as well as structural integrity, in their works. Artists since have used it for the same reason, to create a feeling of natural order in their works. It is thought by many people to describe the most aesthetically pleasing rectangle. </li></ul>
4. 4. <ul><li>Leonard of Pisa (1170-1250), better known as Fibonacci, introduced the Fibonacci Series , a sequence of numbers; 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, … in which any number is the sum of the two preceding members. </li></ul>0 + 1 = 1 1 + 1 = 2 1 + 2 = 3 2 + 3 = 5 3 + 5 = 8 5 + 8 = 13 etc.
5. 5. 1 X 1.618
6. 6. The Parthenon was perhaps the best example of a mathematical approach to art.   Parthenon, Acropolis, Athens
7. 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. 8. A golden rectangle is a rectangle whose side lengths are in the golden ratio
9. 9. Goal: To understand the Golden Ratio as a means of organizing a work of art.
10. 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.
11. 11. Ideas for Designs <ul><li>The pattern of a butterfly wing…. </li></ul><ul><li>Patterns of sea creatures…… </li></ul><ul><li>Close ups of patterns from nature….. </li></ul><ul><li>Leaf arrangements, leaf veins, petal patterns…. </li></ul><ul><li>Feather patterns from birds such as one feather, or the entire tail pattern of a peacock…. </li></ul><ul><li>Look at animals, bugs, fish, and plants to get ideas….. </li></ul>
12. 12. Timeless by Design
13. 13. www.Goldennumber .net
14. 14. Rubric <ul><li>The design must be original. </li></ul><ul><li>The composition must use the Golden Mean. </li></ul><ul><li>The painting must use a pattern found in nature to inspire the design. </li></ul><ul><li>The design must demonstrate knowledge of space as an element of design. </li></ul><ul><li>The project is to be done in acrylic paint. </li></ul><ul><li>The design must show technical craftsmanship. </li></ul><ul><li>The student must use proper care and conservation of tools and supplies. </li></ul>
15. 15. What you need before you begin <ul><li>3 sketches with reference images </li></ul>