how does it represent math
2006-11-08 08:40:25 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Because it looks nice.
Because it is observed to occur in Nature.
A line of 3 units in length.
Divided into 2 parts and 1 part, i.e. 2:1
The thing about this is that
the ratio of the short part (1unit) to the long part (2 units) is the same as
the ratio of the long part (2 units) to the whole (3 units)
This ratio is found in the fingers (the base bone in cm:the top 2 bones cm=the top 2 bones cm:the whole finger cm)
also in the profile of the face, length from chin to tip of nose:length from tip of nose to top of forehead=length of tip of nose to the forehead:the length of whole face.
It´s used in architecture.
It looks nice.
It looks perfect.
Beauty is Truth and Truth, Beauty.
2006-11-08 09:12:13 · answer #1 · answered by Allen 2 · 0⤊ 0⤋
it shows up in some exotic places. If you take the ratio of consequtive Fibonacci numbers, the limit goes to the GR as n-> infinity. Interesting, eh.
Also, it has sort of a fractal aspect. It's self reproducing. You divide rectangles into smaller and smaller rectangles all having this sort of self similar relationship.
2006-11-08 08:59:51 · answer #2 · answered by modulo_function 7 · 0⤊ 0⤋
It doesn't represent math.
It is an interesting ratio because it's frequently found in nature and, perhaps for that reason, is profoundly aesthetically pleasing. It also has the interesting property that its inverse is exactly one less than itself: phi = (1/phi)+1
2006-11-08 08:49:05 · answer #3 · answered by poorcocoboiboi 6 · 0⤊ 0⤋
it doesn't represent math, it represents EVERYTHING else.
2006-11-08 08:49:47 · answer #4 · answered by Anonymous · 0⤊ 0⤋