Every view is important. Yet, some views are more productive, insightful and optimistic.

Big Board - little universe
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Welcome.We have been exploring a very simple, yet highly-ordered view of the universe from the smallest possible length to the largest. It’s very imaginative yet raises questions. Your help and guidance is welcomed. Back on December 19, 2011, five high school geometry classes developed the big chart on the left. We’ve been told that it is unique. It was developed by taking the smallest possible measurement — it is called the Planck Length — and multiplying it by 2. In about 101 doublings, you are at the diameter of the human hair. In another 101 doublings you are at the length of the Observable Universe.

These geometry classes were studying embedded geometries when we asked, “How far within can we go?” The result, the chart, was helpful for many reasons, but we couldn’t find it anywhere on the web. We asked, “Are we off on the wrong foot?” We dubbed it the Big Board-little universe and began asking the experts about it. Equally perplexed, some encouraged us.

In these days we turn to everyone for insight.  That big chart on the left measures 62″ x 14″ so it can be a bit awkward to use at your desk. We wanted to present the data in a more simple format to be printed on 8.5×11 inch paper or displayed on a smartphone so we created the chart on the right. We are calling it, the Universe Table. We say, “…it’ll be under construction for a lifetime.” This is a long-term project, so we would like to ask a few questions to help us prioritize and focus on important things to do. Click on each image to see the full-sized rendering.

Your Views, Worldviews, Universe View. All views are important. Yet, some views are more optimistic, some are more creative, and some more productive. Our hypothesis is that those who balance their views with a strong worldview and a truly integrated universe view will be the most optimistic, creative and productive.

It will take us a long time to figure that out, so we need to get started. We are asking our guests to take a very quick, very simple survey at the end of the tour. We hope you can help. Now, on the right, you will see a green arrow. Just click on it to begin the tour.

Click here to go on the tour.

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Notes about Look-and-Feel and Navigation: Links from the headers below the line go to the Index page. If any of the letters from right column, particularly the words, Archives and Meta, are bleeding through the image of the Universe Table, please open your window larger (possibly to full screen). If the header for this page is in more than two lines, you also need to open your window a little larger. If you came back here after completing the survey, please click on the pink arrow on the right to go on the tour of the Big Board-little universe.

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. Earlier version – 1994
The simple conceptual starting points: Are these the continuity and symmetry conditions that give rise to life, insight, and hope for our common future?
An article (unpublished) to attempt to analyze this simple model that seems to suggest that time is derivative of numbers and space is derivative of geometries. 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: Almost 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 All tetrahedrons and octahedrons have that interior perfection described just above. It appears that these basic objects transform dynamically in ways that capture basic processes within nature. Over the years we will be doing the work to explore these transformations, however, there is a website to learn more about such transformations today: http://loki3.com/poly/transforms.html

The simple math from the Planck Length to the Observable Universe


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