1, 1, 2, 3, 5, 8, 13, 21, 34, 55... I love the golden ratio. I love studying it, and I love using it in my designs, deliberately. It creates so much interest in what you''re seeing and hearing that you can''t help but look at it. You even see a lot of it in The Matrix. That scene where Neo is running by the columns as the shotgun blasts zip by him in the hallway shootout was just loaded with it! The whole movie was, honestly. You see a lot of it in botany, in biology, in meteorology, in psychology, and in entertainment. While directing the silent film, "The Battleship Potemkin," Sergei Eisenstein divided the film up using golden section points on the film''s celluloid to start important scenes. Ahh anyway, does anyone else deliberately use the golden ratio (or whatever you like to call it) in their designs? +-----+---+ Benjamin Heath +---+-----+

1, 1, 2, 3, 5, 8 etc is the fibonacci sequence, 1:1.618 is the golden ratio.

quote: Original post by Anonymous Poster
1, 1, 2, 3, 5, 8 etc is the fibonacci sequence, 1:1.618 is the golden ratio.

You''re smart, but you haven''t read enough.

The golden ratio can refer alternately to two different quantities: Phi (1.618...) and phi (0.618...).

Now look what happens with the Fibonacci sequence:
1/1 = 1
2/1 = 2
3/2 = 1.5
5/3 = 1.666...
8/5 = 1.6
13/8 = 1.625

You see, if you pick any two consecutive numbers from the Fibonacci sequence and divide the greater by the lesser, you come close to either Phi or phi-- the golden ratio. It''s irrational, an infinite real number, so you will never pinpoint it exactly, but you can come very close.

Iirc, there''s a relationship between the golden ratio and the fibonacci sequence. I don''t recall exactly what it is. I have a book on the subject of "the divine in mathematics" that covers it. That book is packed away right now, unfortunately, or I would look it up to clarify the issue.

I once built a java applet to partition a browser window based on the golden ratio. I''m not certain where the code is though, buried on a cd somewhere. It only worked in Netscape 4 on Windows. Maybe I''ll try looking for it tomorrow.

quote: Original post by Benjamin Heath

quote: Original post by Anonymous Poster
1, 1, 2, 3, 5, 8 etc is the fibonacci sequence, 1:1.618 is the golden ratio.

You''re smart, but you haven''t read enough.

The golden ratio can refer alternately to two different quantities: Phi (1.618...) and phi (0.618...).

Now look what happens with the Fibonacci sequence:
1/1 = 1
2/1 = 2
3/2 = 1.5
5/3 = 1.666...
8/5 = 1.6
13/8 = 1.625

You see, if you pick any two consecutive numbers from the Fibonacci sequence and divide the greater by the lesser, you come close to either Phi or phi-- the golden ratio. It''s irrational, an infinite real number, so you will never pinpoint it exactly, but you can come very close.

Sorry about the blunt reply. Ever sense I heard about the golden ratio I have been very interested, although obviously not so much as you. The fact it has a relationship with the fibonacci sequence I never knew, obviously . Cool!

I don''t use Phi in my design, I''ve never though of it but that sounds like a great idea to make my projects more asthetically pleasing. Also do you know does the Golden ratio works with sound, I guess it does though.

golden ration and fibonacci''s sequence applied to muds

1 idea
1 design doc
2 months to finish
3 main races
5 classes
8 magic schools
13 princes
21 forrests
34 fortresses
55 types of evil creatures
89
.... [lotsa other things involved]
an infinity of users

A

quote: Original post by Anonymous Poster
I don''t use Phi in my design, I''ve never though of it but that sounds like a great idea to make my projects more asthetically pleasing. Also do you know does the Golden ratio works with sound, I guess it does though.

It works for sound just as well. I read recently that Mozart may have used it in his sonatas. As a matter of fact, Virgil may have used it as well when writing The Aeneid.

You might want to read "Godel, Esche, and Bach: The Eternal Golden Braid." I think he goes into this.

People have been using "golden" proportions for a long time. I can''t remember when they started. I know it was popular in the middle ages.

quote: Original post by mtw
You might want to read "Godel, Esche, and Bach: The Eternal Golden Braid." I think he goes into this.

People have been using "golden" proportions for a long time. I can''t remember when they started. I know it was popular in the middle ages.

The Pythagoreans were studying it some 2500 years ago. The Egyptians were using it before that. I suppose it was around even before that, when you consider the Fibonacci pattern''s recurring presence in plant and animal life, and that people have been farming for a very, very long time. I think they would have noticed after a while.

BTW: By "design," I''m referring to 3d models, 2d images, that kind of thing. But you can post whatever you want, basically. The golden ratio is, after all, found heavily in many games. Just look at Zelda: The Wind Waker!



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Benjamin Heath
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I''ve read that the game "Wheel of Time" used the Golden ratio a lot. The stairs are goldenly proportioned, for example.