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Fibonacci number

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Regular patterns occur throughout nature which are defined by mathematicians and offer power evidence of intelligent design. The atoms in a crystal are arranged in a pattern, as are the atoms in the DNA molecule, the stripes on an angelfish, the movement of the legs of a centipede. These patterns frequently help to identify and determine the characteristics of a species.

A fibonacci sequence of quarter-circles inside squares, estimating the Golden spiral.

The fibonacci numbers are one such pattern that are described by a mathematical relationship. They are a sequence of numbers that can be found in many organisms, such as the spiral patterns in the heads of sunflowers. God has arranged sunflower seeds without gaps in the most efficient way by forming two spirals. The ratio of these spirals varies from one kind of sunflower to another. In the simplest form of this sequence, each number is the sum of the previous two: 1, 1, 2, 3, 5, 8, 13, 21 . . . .

Other examples: A similar double spiral occurs in the Norway Spruce cone with a ratio of 5 scales in one direction and 3 in the other. The pattern of the common larch is 8 to 5, and of the American larch, 5 to 3.

Golden Ratio

Main Article: Golden ratio

The ratio of a number in the Fibonacci sequence to the previous number approximates the golden ratio. The musical scale is based upon the ratios of 1:2, 1:3, 1:4, etc. The Parthenon of ancient Greece is designed with these very ratios, which are pleasing to the eye and to the ear. The division of the conch shell and the spiral of the snail shell display the same ratios. This progression of ratios can be illustrated as an extension of the Fibonacci sequence.

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