Fibonacci Spiral Mathematics

The table is based on a Fibonacci spiral generated using quarter-circle arcs inscribed in squares whose sides are proportional to consecutive Fibonacci numbers. For example, the following Fibonacci spiral is generated from squares whose sides are 1, 1, 2, 3, 5, 8, 13, 21, and 34:

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Horizontally flipping this image results in the primary surface components of the table:

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Note that a Fibonacci spiral approximates the golden spiral. As shown in the following image, the green spiral is made from quarter-circles tangent to the interior of each square, while the red spiral is a golden spiral (a type of logarithmic spiral). Overlapping portions appear yellow. The length of the side of a larger square to the next smaller square is in the golden ratio (φ ≈ 1.6180):

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In staying with the golden ratio / Fibonacci theme, if you look carefully at the above table image, you'll see that the innermost square has a small golden spiral punched into it:

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Such spirals appear in a suprising number of natural processes and structures, such as the sunflower:

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