[ExI] puzzle?

[William Flynn Wallace]

Pretty cool, but you are plainly not a gardener.  Do you think that the
early people did architecture according to the Golden Rectangle without
knowing what they were doing and finally someone figured out the geometry?

Why do I keep asking questions when it is clear that I will not understand
the answers?  Take an accordion:  as you pull it apart the pleats start
disappearing, just as if you could pull a wavy wall to make it a straight
wall.  How can it be?  Straightening out the pleats makes it longer with
the same number of pleats.  ????     bill w

On Mon, Aug 1, 2022 at 2:19 PM spike jones via extropy-chat <
extropy-chat at lists.extropy.org> wrote:

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> *From:* spike at rainier66.com <spike at rainier66.com>
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> >… grassy area on the right is a golden ratio ellipse…
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> >…We math geeks build stuff like this… spike
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> Billw, since you are burning with curiosity about golden ratio ellipses
> (or if not, you are the kind of gentlemanly sort to play along politely)
> this is the front yard of me ‘umble abode.
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> The five steps down are golden ratio ellipses with a minor radius of 1
> meter.  The major radius of those steps ((1+5^.5)/2) meters, is the minor
> radius of the tan bark region to the left of the steps.  The major radius
> of that ellipse is the minor radius of the back yard grassy ellipse, and
> the major radius of the grassy ellipse is the minor radius of the ellipse
> toward the left side forward quadrant of the photo.
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> It isn’t clear from this photo, but the inflection point between the
> tangent ellipses was placed right were the first derivative on each of the
> ellipses was equal, so it is a continuous first derivative over the
> transition from one ellipse to the other.
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> But wait, there’s more.  I had more time on my hands then, being in my
> 30s, pre-child, part-time job only.  I worked a 9 to 5 at Lockheed Martin
> but 40 hrs a week is considered a part time job by Silicon Valley
> standards.  I had to figure out a way to generate the ellipses in order to
> build the form walls for the cement.  So… I used surveying tools to figure
> out exactly where to drive the focus stakes on which I attached the cable
> to generate the ellipses.
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> This yard is a puzzling blend of Greek and Zen, with lotsa math geek chic
> holding it all together.
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> spike
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