ChatterBank1 min ago
phi
can anyone explain the golden ratio in laymans terms and is it basically a thidr of the distance measured . i am aware it is 1.6
thanks
thanks
Answers
Best Answer
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For more on marking an answer as the "Best Answer", please visit our FAQ.Imagine placing a point C somewhere along a line AB
A...........................C........................................B
If the ratio of AC to CB is the same as the ratio of CB to AB, then you have divided the line AB into the Golden Section. This ratio has been shown to be the most aesthetically pleasing. It occurs frequently in both art and architecture. The golden ratio also occurs frequently in nature. Just Google "Fibonacci" and you will get many examples. The Fibonacci series tends to a limit which is equal to phi.
Another aspect of phi 1.618 . . . I find fascinating is that
it equals 1 more than 0.618 . . . its reciprocal. One divided by phi equals phi minus one.
Using a calculator you can converge on phi by . . .
Starting with any number greater than 1, repeatedly find the reciprocal and add one . . .
{ (1/x) + 1, (1/x) + 1, (1/x) + 1, . . . }
repeat this sequence until the same numbers appear,
than your done!
Most calculators do not have a reciprocal (1/x) key (do not confuse this with a (+/-) key), but . . .
If it has a square root (sqrt looks like a check mark) key there is another way . . .
{ + 1 = sqrt, + 1 = sqrt, + 1 = sqrt . . . }
repeat this sequence until the same number appears,
than your done!
If such enterprises bore you there is always . . .
{ 5 sqrt + 1 / 2 = } phi equals the square root of five, plus one, divided by 2.
Remember there is a lot more to phi than meets the eye. Most calculators only display the first 8 or so digits.
it equals 1 more than 0.618 . . . its reciprocal. One divided by phi equals phi minus one.
Using a calculator you can converge on phi by . . .
Starting with any number greater than 1, repeatedly find the reciprocal and add one . . .
{ (1/x) + 1, (1/x) + 1, (1/x) + 1, . . . }
repeat this sequence until the same numbers appear,
than your done!
Most calculators do not have a reciprocal (1/x) key (do not confuse this with a (+/-) key), but . . .
If it has a square root (sqrt looks like a check mark) key there is another way . . .
{ + 1 = sqrt, + 1 = sqrt, + 1 = sqrt . . . }
repeat this sequence until the same number appears,
than your done!
If such enterprises bore you there is always . . .
{ 5 sqrt + 1 / 2 = } phi equals the square root of five, plus one, divided by 2.
Remember there is a lot more to phi than meets the eye. Most calculators only display the first 8 or so digits.