### Proportion

The shell of the chambered nautilus is a symbol of beauty and proportional perfection. The proportion of this nautilus shell is consistent through all of the relationships of the shell, so once you discover the secret ratio, you will see clearly why this particular gem of nature is such a treasure. The spiral of the chambered nautilus as well as other logarithmic spirals can be found throughout the human body and nature. The drawing of the inner ear and the photo image of a star cluster nebula are just two examples which can be seen with a microscope or a telescope. There are many examples which can be seen without magnification. See what you can find.

Begin with a small single square, one unit per side, near the lower right-hand corner of the page. Continue adding larger and larger squares in a counterclockwise direction using the following number sequence: 1, 1, 2, 3, 5, 8, 13... as illustrated in the example. This number sequence is often referred to as the "Fibonacci series."

Draw diagonals through every square in a counterclockwise direction. Use the diagonals as guides and draw a smooth spiraling curve from the smallest, one-unit square, outward through your largest square. The proportional relationship of the squares quickly begins to approach the Golden Proportion.

Labels: fibonacci, nautilus, proportion, ratios

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