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Notes about Look-and-Feel and Navigation: There are several iterations of these materials. Some are just for back up. Others were for special purposes such as the National Science Fair. If you happen to jump out of the Small Business School website and feel a little lost, click "Back" until you are back inside the http://SmallBusinessSchool.org website within the URL.
Footnotes: On every page there are references and more notes about the how these charts came to be.
The very-simple, philosophical foundations started with concepts of perfection and perfected states within space-time
The simple conceptual starting points
An article (unpublished) to attempt to analyze this simple model. There are pictures of a tetrahedron and octahedron. A background story: It started in a high school geometry class on December 19, 2011.
The sequel: Just under two years later, a student stimulates the creation of this little tour.
Wikipedia on the Planck length
Wikipedia on the Observable Universe
This project began when we looked inside a tetrahedron and octahedron (two of the most basic geometric figures).1 Think of the embedded Russian (matryoshka) dolls. Usually there are no more than ten. Yet, here inside each tetrahedron there are four half-size tetrahedrons and an octahedron. Inside the octahedron are six half-sized octahedrons and eight tetrahedrons all sharing a common centerpoint and many common edges. It would seem that one could just kept going forever. Yet eventually you will reach the Planck length and can go no further. To standardize our study, we started at the Planck Length and multiplied it by 2 until we were at the Observable Universe. We were surprised to discover only 202-to-206 notations (or steps or layers or doublings) to go from the smallest to the largest measurements of a length.
1 Every tetrahedron and octahedron have an interior perfection and transform dynamically in ways that capture most, if not all, the processes within nature. A website to learn more about these transformations and the potential for diversity is here: http://loki3.com/poly/transforms.html
The simple math from the Planck Length to the Observable Universe
If you would like to get further involved, there are four ways:
(1) ADJUNCT. Provide feedback. Where are we going wrong? Where are we too speculative?
(2) RESEARCH ASSISTANT. What might constitute steps 2 through 65? We've called these notations the"really-real" small scale universe because all of them appear to be beyond the current scope of any of our measuring devices. So, how do we intuit what is there? What other kinds of mathematics might apply at each notation? We are certainly making some guesses.
(3) RESEARCH ASSOCIATE. Help us interpret the data.
(4) RESEARCH FELLOW. Help with the writing.
To be involved, please send us a note: camber - at - SmallBusinessSchool.org
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