[TheForge] Golden mean

Wed Sep 25 13:36:01 2002

        John, this is more of the explaination in the boxes being drawn that
I was refering to in my last post.

Ralph


----- Original Message -----
From: "Walter L. Mullett" <[email protected]>
To: <[email protected]>
Sent: Wednesday, September 25, 2002 1:17 PM
Subject: Re: [TheForge] Golden mean


> Forget the high math and remember this story.
>
> Fibonacci was playing a numbers game using arabic rather than Roman
> numerals.  He thought ...what if I start with one rabbit, then add
another -
> I have 2, which then becomes 3 then 5 then 8 then 13 ... each number
results
> from adding the previous two numbers together.
>
> A real rough ratio approximation is 3x5 - two sequential Fibonacci
numbers.
> After about the 13th number in the sequence, the ratio becomes finite and
is
> the Golden Section.
>
> There are sites like:
> http://galaxy.cau.edu/tsmith/KW/goldengeom2.html
> that show how to take this and make a spiral but I don't like the process
> shown.  This site uses a subtractive process and a compass and is more
> complicated than required.  All you need is a ruler and a right triangle.
>
> Instead, draw a Fibonacci rectangle like .... 3w x 5h.  If you want to go
> counterclockwise, using the right side 5 as a new right end, draw another
> rectangle that is 8w x 5h and has the original rectangle in it.  Now using
> the top 8 as a new end, draw a rectangle down that is 8w x 13h and has the
> other two rectangles in it.  Continue in a counter-clockwise direction
> building rectangles.
>
> After several iterations of this sequence, draw a spiral that connects the
> centers of the rectangles (or the same corner of each when rotated).
>
>  Walt
> -----Original Message-----
> From: John Chobrda <[email protected]>
> To: The forge <[email protected]>
> Date: Wednesday, September 25, 2002 11:30 AM
> Subject: [TheForge] Golden mean
>
>
> >Can any one give me, or point me in the right direction where I can get
> >a simple explaination of the golden mean, and how to draw it.
> >
> >Thanks in advance
> >John C.
> >
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