[Greenbuilding] Phi (was Re: Roof slopes )

Alan Abrams alan at abramsdesignbuild.com
Fri Aug 15 11:04:49 MDT 2014


the windows of these lanterns, made from off-cuts of rectangular structural
steel tubing, are based on golden rectangles. the 5" x 7" section of the
tubing is not too dang far from the golden ration itself.

(if the attachment didn't stick, the photo can be found on the fourth page
of this link:
http://www.abramsdesignbuild.com/kitchens-portfolio-green-kitchen-remodeling/
)

AA

Alan Abrams

*certified professional building designer, AIBD certified passive house
consultant, PHIUS*
*certified passive house builder, PHIUS*
Abrams Design Build LLC
*sustainable design for intentional living*
cell     202-437-8583
alan at abramsdesignbuild.com
www.abramsdesignbuild.com


On Fri, Aug 15, 2014 at 10:56 AM, futureship0000 <futureship0000 at hotmail.com
> wrote:

>  This may be of interest to some  for this topic ...
> The golden mean and spiral is part of
> Sacred geometry - Wikipedia, the free encyclopedia
>
> http://en.m.wikipedia.org/wiki/Sacred_geometry
>
>  Sent from my Verizon Wireless 4G LTE Smartphone
>
>
> -------- Original message --------
> From: RT
> Date:08/15/2014 10:12 AM (GMT-05:00)
> To: Green Building
> Subject: [Greenbuilding] Phi (was Re: Roof slopes )
>
>  On Thu, 14 Aug 2014 18:35:48 -0400, Michael O'Brien <obrien at hevanet.com>
>
> wrote:
>
> > I'm puzzled, of course the golden mean can be generated by arithmetic,
> > the formula is (1 + √5) ÷ 2.
> > Or did you mean you prefer the geometric option?
>
> and Vadurro, Rob, EMNRD <rob.vadurro at state.nm.us> wrote:
>
> > Or algebra: a/b= b/a+b
>
>
> I would venture that if you handed either of the above equations to the
> Ancient Greek  who was the Project Manager in charge of building the
> Parthenon,  and asked her to build it thusly, she'd have smacked you
> upside the head and handed you over Jake the Rake and his brother Joe the
> Hoe and had them bury you up to your ears in the lime pit.
>
> OTOH, if you handed her a sketch similar to this image (2nd image at
> following link)
>
>   http://rouleauc.blogspot.ca/2009/04/more-you-know-golden-ratio.html
>
> she'd have had no trouble visualising and understanding the design and
> could easily replicate the layout drawings using not much more than a
> pencil and a piece of string. And I'll bet she'd have been so pleased
> that
> she'd have bought you a coffee.
>
> **
>
> Or, let's say I walk up to a person on the street and say to them:
>
>      "Did you know that if you take the square root of 5, add 1 to it and
> then divide the sum in half  you'd get "phi", the Golden Mean ?
>      Isn't that beautiful  ??!!"
>
> or "Can you tell me what "a" and "b" are in the equation "a divided by b
> equals a plus b divided by b ?"
>
> I'd venture that their response would likely be something like " Eh ?"
> (or
> "Huh?" in Murrican).
>
>
> OTOH, if I were to generate the logarithmic spiral  whose growth factor
> is
> "phi"  (aka "Golden Spiral", "Fibonacci spiral" ) using nothing more than
> the aforementioned piece of string and pencil  and then show them images of
>
>   a nautilus shell  section
>
>    http://biomimicrysandiego.org/hello/
>
> and  Botticelli's "Venus"
>
>       http://tinyurl.com/mmourzr
>
>
> and/or Leo's "Mona"
>
>      http://tinyurl.com/lryhdvs
>
>
> and the Milky Way
>
>      http://tinyurl.com/kngrb45
>
> etc., chances are pretty good that the reaction would be entirely
> different, perhaps even one of awe in some instances.
>
> That is to say, "Yes" pretty much everything can be described by
> equations
> but I'd venture that sometimes, as in this instance, geometry does a
> better job of explaining the beauty and logic of "what, how and why" and
> in a more direct way.
>
> Another example where I think that graphical means does the job more
> simply would be in determining the proper horizontal extension to provide
> optimal full summer shading/full winter exposure of an equator-facing
> opening.
>
> But don't ask me how this relates to the original subject of "toxic" roof
> runoff.
>
>
>
> --
> === * ===
> Rob Tom  .  .  . T60BOM
> Kanata, Ontario, Canada
>
> A r c h i L o g i c  at  Y a h o o  dot C A
> (manually winnow the chaff from my edress if you hit "reply")
>
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