1.618
2007-01-19 14:52:35 · 11 answers · asked by nhicky 1 in Science & Mathematics ➔ Mathematics
The golden ratio, also known as the divine proportion, golden mean, or golden section, is a number often encountered when taking the ratios of distances in simple geometric figures such as the pentagon, pentagram, decagon and dodecahedron. It is denoted , or sometimes .
2007-01-19 14:54:48 · update #1
phi doesnt work for similarities and ratios... we always get 0.618.. not 1.618??? why???
2007-01-19 15:03:41 · update #2
my partner and i tried to measure our arms (from elbows to shoulders) and from knees to hips.. first we tried to measure it by envelopes.. (the numbers of envelopes = the measure of the arms and (knees-hips)) then next we tried to measure it by paper clips and then by a measuring tape........ the average of these measurement doesnt work with 1.618..
my average is 0.618.. when will PHI works?
does it work when the relationship is that the sum of two quantities is to the larger quantity as the larger is to the smaller
2007-01-19 15:20:36 · update #3
Doesn't work in what regard? I seem to be missing either your question or your point.
2007-01-19 15:06:19 · answer #1 · answered by iraq51 7 · 0⤊ 2⤋
Try dividing the larger number by the smaller. For example, if your numbers are 5 and 8, 5/8 will give .625, somewhat close to .618, but 8/5 will give 1.6, close to 1.618.
2007-01-19 23:50:56 · answer #2 · answered by bictor717 3 · 2⤊ 0⤋
Fibonacci number
1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597,...
For Exam:
144/89=1,617978
610/377=1,618037
1597/987=1,618034 1,618 » A golden rate
2007-01-27 20:50:39 · answer #3 · answered by quasar 1 · 0⤊ 0⤋
Try inverting the ratio:
phi = (1 + sqrt(5))/2 = 1.6180339...
1/phi =
2/(1 + sqrt(5)) =
2 (1 - sqrt(5)) / (1 + sqrt(5))(1 - sqrt(5)) =
2 (1 - sqrt(5)) / (1 - 5) =
2 (1 - sqrt(5)) / (-4) =
(1 - sqrt(5)) / (-2) =
(sqrt(5) - 1)/2,
which is exactly phi - 1 = 0.6180339... !
phi - 1 =
(1 + sqrt(5))/2 - 1 =
(1 + sqrt(5) - 2) / 2 =
(sqrt(5) - 1) / 2
2007-01-27 13:05:27 · answer #4 · answered by jcastro 6 · 0⤊ 0⤋
Did you notice that 0.618 = 1.618 - 1? . . .and that 1/1.618033989 = 0.618033989?
0.618033989 is the conjugate of Ï, and is designated by
Φ.
1/Ï = Ï - 1 = Φ
1/Φ = Φ + 1 = Ï
If you invert your ratios, phi will work for you. You will get Ï (phi) where you are now getting Φ (Phi).
2007-01-19 23:23:48 · answer #5 · answered by Helmut 7 · 3⤊ 0⤋
I am not sure of what you are trying to ask, but the best answer I can give is that 1.618 is not the golden ratio. Sure it is an approximation, but it is still an appox. not the real thing, it's like cow milk and soy milk, represent the same thing but are quite different.
2007-01-19 22:57:30 · answer #6 · answered by AibohphobiA 4 · 0⤊ 3⤋
Look at the reciprocal of 1.618
2007-01-19 23:06:11 · answer #7 · answered by modulo_function 7 · 1⤊ 0⤋
Because people aren't geometric objects, and have a great deal of natural variation in their sizes & proportions.
2007-01-26 21:38:19 · answer #8 · answered by funkysmama 2 · 0⤊ 0⤋
I dont know
2007-01-25 12:03:54 · answer #9 · answered by Brent S 1 · 0⤊ 0⤋
phi does work. http://goldennumber.net/
2007-01-19 22:56:50 · answer #10 · answered by cppdungeon 2 · 0⤊ 0⤋