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A crosssectional image of a Nautilus sea shell shows the spiral curve of the shell and the internal chambers that the animal steadily adds as it grows. The chambers provide buoyancy in the water. The spiral formed by the chambers is a logarithmic spiral or approximately a Fibonacci spiral. Fibonacci numbers form a sequence defined by the recurrence relation on the right. That is, after two starting values, each subsequent number in the series is given by the sum of the two preceding numbers. The first Fibonacci numbers, also denoted as F_{n}, for n = 0, 1, are: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ... More » 
