#2 If the Planck Length is the smallest, the largest length is the Observable Universe.



This may well be the first time you will have seen the entire universe notated on a chart, all numerically and geometrically ordered, in a very granular relation. It is a simple model that opens many new insights.

The Planck Length is not a point because it has length. Points do not have length. And, if you were to multiply that length over and over again by 2, anywhere from 202.34 times to 206 times, you will be out to the largest observed length, naturally called the Observable Universe.

It is hard to believe, yet simple math tells that story.1 This project uses this range, 202.34-to-206 because even though math can be exacting, our knowledge of the age of the universe is not.2 By the way, these notations are already helping students to understand the relations between disciplines. There is a sense of real order where there was chaos.


We will be referring back to these two measurements throughout the next eight steps to discern some of the other surprises as well as many of the other questions that are raised. By the way, all the footnotes on any page are just below the arrows and lines on that page. Also, below the footnotes are more references, links and informal discussions.  Please come back to those sections after you have gone through all ten pages. Next page. Green Arrow

Pink Arrow


Notes about Look-and-Feel and Navigation: If a little thumbnail of any picture is displayed, simply refresh your browser and the full-size version should paste in.  Also, if any of the letters from right column, the Archives and Meta listings, are bleeding through the image of the Universe Table, please open your window larger (possibly to full screen). Usually if you click on the last sentence in each description you will go to the next page. Also, if you find the word, Index, has an embedded link, it will most often go to our Index page for this tour.

More notes about the how these charts came to be:
1 The simple math
2 The calculation of 202.34 by NASA scientist, Joe Kolecki
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An article (unpublished) to attempt to analyze this simple model.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: Almost two years later, a student stimulates the creation of this little tour.

Wikipedia on the Planck length
Wikipedia on the Observable Universe

Key Surprises: First, just the very small number of notations was a surprise. When we started at one meter and got down to the size of a proton in about 50 steps (at that time, we were dividing each notation in half), it seemed hard to believe. Then, when we got in the range of the Planck Length in another 66 steps, it was puzzling.  When we went to the large scale and found only another 90 or so notations, we were flummoxed.

Consider notations 100 to 103. That range is right in the middle of the universe of sizes. …in the middle! And, it is all so very, very human. How can it be that humanity is in the middle of this universe by length?


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