I do it with enthusiasm, if not grace.  I hope you were helpful to your 
visitor.  I was searching for a reliable text to resolve this whole 
thing.  I must have it here somewhere, but it has escaped.

I use VectorWorks for drawing.  I'm very pleased with it.  It handles 
3D and 2D with a certain friendly grace that is really quite pleasant.  
My impression is that a lot of exhibit and stage set design people are 
using it.

-jc

On Feb 1, 2005, at 1:48 PM, Cuyler Page wrote:

> Beautiful drawing, John.   How do you do it?
>  
> You have articulated the use of the system (or any system) wonderfully.
>  
> It is almost as good a system as Synchronicity.   As I was standing on 
> the Museum floor in an exhibit area with my LAP on a rolling desk, 
> writing this reply instead of writing texts for the exhibit panels, a 
> woman visitor walked up and said "I have an old house I am restoring 
> and I wonder if you could help me figure something out about it."   
> She had no idea I was interested in such things, but simply felt 
> compelled to ask.    Nice moment.   Your drawing was on the screen, 
> ready to use.
>  
> cp in bc
> ----- Original Message -----
>  From: John Callan
> To: [log in to unmask]
> Sent: Tuesday, February 01, 2005 10:53 AM
> Subject: Re: [BP] Golden Ratio OOPS
>
> Cuyler,
>
> I believe you are correct!
>
>
>
> <image.tiff>
> On Feb 1, 2005, at 12:27 PM, Cuyler Page wrote:
>
>
> OOPS !
>
>  
> Not meaning to tarnish your reputation and clever e-drawing in front 
> of friends, but, hey jc., your Golden Rectangle is a little 
> tarnished.   Sounds more like a Bronze Rectangle, close, but not 
> quite.
>
>  
> Golden Rectangle arrived at by geometry:
>
>  
> 1) draw a square
>
>  
> 2) from the mid-point of one side, let's call it the bottom of the 
> square, swing an arc using that point as centre and an opposite (top) 
> corner of the square as the end of the radius.   Swing the arc to the 
> base line (the bottom line with the centre point) extended (right or 
> left)beyond the square to allow the arc to intersect with it.
>
>  
> 3) from the intersection of the arc and the extended bottom side of 
> the square, erect a line at right angles (vertical line).
>
>  
> 4) extend the top line of the square to intersect with the new 
> vertical.
>
>  
> 5) the new large rectangle, including the square and the small new 
> rectangle just created, is a Golden Rectangle.
>
>  
> Golden Ratio Proportions are approximately 1 : 1.618...  or 1 : 
> 0.618... , reciprocal and an irrational number (Ralph will like that).
>
> You can prove it with the resulted rectangle constructed as above.   
> AxA + BxB = CxC  (my e-mail doesn't have the symbol for "square", but 
> that is nice because even those without Rich Text, like Ruth, can read 
> it, "In a right triangle with short sides a and b, and long side c, 
>  a-square plus b-square equals c-square.")
>
>  
> 6) if you use the long side of the new large rectangle as the length 
> of the side of a square to add beside that rectangle, then the new 
> very large rectangle will be another Golden Rectangle, etc., etc., 
> etc.   Connecting similar points on all the new-to-infinity rectangles 
> will describe a logarithmic curve, but that is another story.
>
>  
> jc., you describe beautifully the benefit of looking for the 
> proportion systems used by the original designers, not always Golden, 
> as a means to discovering missing parts or creating new work that 
> blends harmoniously with old.   Have experienced this frequently with 
> delightful success while working with heritage home owners in 
> revitalizing their houses, finding old clues to everything from 
> missing walls to the original position of picture or plate rails and 
> the height of wainscoting.
>
>  
> The Golden Ratio is a mathematical or geometrical relationship that 
> describes how many living things grow their form in nature, has its 
> own wonderful curiosity as a piece of mathematical gymnastics, 
> describes sonic and musical relationships, and seems to be hard-wired 
> into our visual perception system, so it has a powerful intrigue from 
> many points of view.   Wordsworth, a serious geometer, constructed 
> poems based on its proportions, and the story goes on and on.   It is 
> not universal, but it sure can be interesting.
>
>  
> cp in proportional bc
>
> (Kamloops, not Golden. That town is near the Rockies)
>
>  
>