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Go the  homepage of this episode of Small Business School based on the work of Ebby Halliday who founded Ebby Halliday real Estate in 1946 Go the  homepage of this episode of Small Business School based on the work of the people at XTO, Cross Timbers oil, Fort Worth, Texas Case Study Go the  homepage of this episode of Small Business School based on the work of the people of e-Harmony.com of Pasadena, California
Renzo Piano's TOT design for structural support of the Kansai Airport Terminal Roof on display at Nasher Sculpture Garden in Dallas
Renzo Piano's structural support of the Kansai Airport
Terminal Roof on display at Nasher Sculpture Garden
in Dallas, Texas (USA) is based on a "half-TOT" design.
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Dallas: This open discussion about undeveloped billion-dollar ideas has been going on for over a decade. In January 2001 when the new series launched we began referring to it as going from "$0 to $1,000,000,000 In Less than a Lifetime."¹ In August 2006 this page was introduced for the construction, architecture and industrial design industries. These concepts are all based what Bruce Camber dubbed to be an emerging "science of interiority²." Though it is speculative, the information has been around since Pythagoras, Euclid and Plato.
Basic Structure: If you skipped plane geometry in 9th grade, you may have a bit of a challenge. Yet, these simple three-dimensional objects are like the building blocks that we played with as little children; they are just all triangles. Put four triangles together, one on the bottom, and the three sides and you have a tetrahedron. Now, ask yourself the very simple question, "What is inside?" Very few people have an answer. That is about to change forever because there are billion dollar businesses within the answer. You can apply it to your industry. To help along the way, please also begin to learn a little about algorthims.³
To help this discussion along, let's look at a simple example for the steel industry: Create your own little model with eight-inch straws. Make four equal triangles and tape them together. Now, put a point in the middle of each straw and connect those points with smaller straws. With no imagination you'll see a tetrahedron in each corner (there are four of them); and in the middle, there is an eight-sided piece. That's called an octahedron.
If you were to put a bunch of tetrahedrons and octahedrons in a straight, four-sided "line" which is really a parallelogram, you'll be looking at what could potentially become the strongest structural beam there can be.
As of this writing in July 2006, there were no references inside the Steel Construction Manual, American Institute of Steel Construction. The closest application is in cranes and some girders, but there are many very good ways to use configurations of triangles. The next step is to engineer models for stress tests.
Referring page ... more ...
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An Update
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From: Bruce Camber
Sent: Thursday, May 31, 2007 10:59 AM
To: Renzo Piano
Subject: Kansai Airport Terminal, Osaka, Japan and this structural support made of a series of tetrahedrons and just-half of each of the octahedrons
__________________________________
Renzo Piano
Renzo Piano Building Workshop
34 rue des Archives 75004
Paris, France
Dear Renzo:
Last year I sent you an email as a result of admiring your work at the Nasher Sculpture Center in Dallas, especially the structural support system for the Kansai Airport roof. Your design model was hanging in the main lobby of the Nasher (pictured on the left). I mistakenly thought it was mimicking a TOT layer. In geology a TOT layer is found within phyllosilicates.
Now, not quite a year later, after having made several models of TOT beams based on the tetrahedron - octahedron - tetrahedron layers, I can see that your beam support is what I would called "a half-TOT" because only half the octahedron is present and half the number of tetrahedrons are used. It appears that a full TOT structure has not been used by architects.
I will, however, continue my search.
Yet, because the TOT could readily become the strongest architectural support structure, might you be interested to introduce such a discussion within your workshop, especially as a “thought experiment” for your interns? I could send you pictures of some models that I believe you would find of interest. Your comments would be profoundly appreciated.
Warmly,
Bruce
PS. I will engage architects, engineers, steel fabricators, aluminum fabriciators, and the construction industry as a whole to begin discussing the use of TOT designs in the already complex mix of building materials and structural support systems within construction.
Footnote: I have never heard back in several attempts to contact Renzo Piano. He is obviously a very busy person.
More:
1. Some Thoughts on TOTs
2. Nature's TOT sandwich and TOT layers
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References ¹ ² ³
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privately-held Business School Study these people who created billion-dollar businesses.
privately-held Business School Opinion-Blog-Insight-Editorial about Interiority
privately-held Business School Consider the algorithm.
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privately-held Business School Billionaire? Become an angel investor!
privately-held Business School Have everyone study this episode about how the US economy works
privately-held Business School Join Us: There will be at least 100 billion dollar ideas outlines within these pages.
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