Tour #2: Summary Review, Speculative Possibilities, Onward and Upward


Welcome back.  Hopefully you have had a week to think about the first tour. We’ll review it, then we’ll go further in depth.  This information is a new frame of reference.  It gives us the simplest possible model of the known universe in an ordered relation. It has surprised many.

This is a new tool to engage the universe and to envision the unexplored.   
Base-2 exponential notation is just a fancy way of saying, multiply by 2.  You learned how to do that very well throughout elementary school.  Yet, for the first time you are applying it to everything in the universe from the smallest to the largest measurements of a length.

It is as simple as simple can be, yet it’s new.  It’s different.  It’s accurate and it is deeply informative.  Yet, from the first tour,  there was push back, “The universe is so vast, so beyond human conception, something must be wrong with your math.”

It begged the question and incredulity, “You mean just by multiplying by 2, we reach the edges of the observable universe in just 205+ doublings?” It becomes even more of a stretch when you see that going from the Planck Length to the human egg takes 103 of those steps. Yes, from the diameter of a human egg, multiplied by 2, and each result by 2 over and over again, just 103 times, puts us out to the Observable Universe. The initial response, “That’s impossible.”

Nobody expected to find just 202.34 to 205.11 notations, or doublings, layers or steps. People stopped right there. They just couldn’t believe it. “Then, there is something wrong with your logic.” Yet, the math is the math and it does compute. The logic is the simple logic and it also computes.

So, we say, “Please live with it for awhile. Let it play with your imagination. See the universe in an ordered relation by size. It is novel and there is something special going on here with numbers and geometries. There so many questions that can be asked about each of the 205+ base-2 exponential notations. Seeing the universe from the smallest to the largest by length is worth exploring further.”

Let us explore a bit more deeply. There are many, many unknowns. You will find mostly guesses from notations 1 to 65. There are many other blanks in the 70s and from 170 to 202. The goal is to have an entry for every notation because each notation builds on the prior notation. Perhaps with some reflections we might emerge with rational explanations to understand the relations and dynamics of each and between each.

Big Board - little universe

Green Arrow

Pink Arrow



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
The simple conceptual starting points
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:

The simple math from the Planck Length to the Observable Universe


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