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PHI

the golden or divine ratio

1.61803399... ad infinitum

phi occurs much too often in both life and inanimate objects for it to be coincidence

see also the anthropic principle

divide a line it into two pieces in such a way that the ratio of the whole line to the big piece is equal to the ratio of the big piece to the small piece

the phi number is the result of dividing any of the fibonacci numbers by the previous number of the fibonacci sequence

examples...

2 divided by 1 = 2

3 divided by 2 = 1.666666667

the fibonacci number is the result of adding the two previous numbers of a sequence

examples...

the fibonacci number 5 comes from adding 2 and 3 together 2 + 3 = 5

the fibonacce number 8 comes from adding 3 and 5 together 3 + 5 = 8

counting number fibonacci number phi number 1 1 2 2 2 1.5 3 3 1.666666667 4 5 1.6 5 8 1.625 6 13 1.61584615 7 21 1.619047619 8 34 1.617647059 9 55 1.618181818 10 89 1.617977528 11 144 1.618055556 12 233 1.618025751 13 337 1.618037135 14 610 1.618032787 15 987 1.618034448 16 1597 1.618033813

NOTES

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10 centimetres

3 ¸ 2 =

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start with a line of any length

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divide it so that one of the lines is one half of the size of the other

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the ratio of the small line to the big line is one to two ( 1:2 )

the larger piece of the two lines

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has the same ratio to the original line ( 1:2 )

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the ratio of the larger piece to the original line is the same as the ratio of the small line to the line it was taken from