WORKING PAGES: A catchall of current thoughts to be worked out 

1. Groups. Everything from the very smallest thing to the largest, including every star and planet in the universe, can be categorized and studied within 201+ mathematicallyordered groups. The key words are everything and mathematicallyordered. This mathematical order is simple. You will take the smallest possible measurement of a length (the Planck Length) and multiply it by 2. You'll multiple each result by 2 until you are about out to the estimated length of the Observable Universe. That is right. There are only 201+ doublings. Check the math. Here is our first posting of the simple math from the Planck Length which was posted on March 12, 2012. The Big Boardlittle universe was post on December 19, 2011. Now, take shortest duration of time, Planck Time, and multiply it by 2 and each result by 2. You will be out to the known Age of the Universe in 201+ doublings. It is all very simple math. These results, side by side with the results of Planck Time, give us much to study and about which to think. Also, note that every sentence and often several words within a sentence are linked to a deeper explanation. 2. Organizing Information. These 201+ groups can also be known as a class, clusters, dimensions, domains, doublings, layers, notations, sets, and steps. Each word represents a methodology for parsing or organizing information in a meaningful way so it can become knowledge, insight and wisdom. 3. Planck Units. The 201+ groups begin at the Planck Units. The Planck Units are based on constants and were defined by Max Planck in 1899 and 1900. Max Planck was a mentor and friend of Albert Einstein. Planck defined a quanta of energy and in 1918 he was award the Nobel Prize for that insight. 4. The 201^{st} doubling. We live, work, and play within the 201^{st} doubling. It includes all of time and all of space. It may also include all the mass, temperature and electric charge that can be measured and aggregated throughout the entire universe. Simple logic tells us that this is true, yet it is beyond the capabilities of science today to make such measurements. 5. Tilings & Tessellations. There are simple geometries that bind the universe from the smallest measurements to the largest. These geometries actually tile the universe much like one would tile a bathroom. They also tessellate the universe. For our purposes within these writings, tessellations are 3D tilings and work in all three dimensions of space. 6. Structure and function. These tilings and tessellations not only relate everything within our little universe, they give everything its foundational structure, its dynamic structure, and its unique structure and function. 7. Smallscale universe. The first 67± doublings define the smallscale universe. Simple logic tells us that everything in the universe shares part of that structure, and shares it increasingly as one approaches the first ten doublings. The potentials and propensities for organic life form here. 8. Humanscale universe. The next 67± doublings define the humanscale universe. Humanity naturally lives within these 67 doublings. Here is the manifestation of space and time that can be experienced and shared. Here is the uniqueness that results from all the possibilities of combining trillions upon trillions of vertices. These vertices expand by an exponential factor of 8. Complexity and diversity are the byproducts. 9. The largescale universe. The next 67± doublings give us the rest of our known universe. The current age of the Earth and everything within it is within the 201^{st} doubling. We are now trying to discern in which doublings the Milky Way and Solar System began to take their current shape and functions. 10. The purely mathematical measurement of time. Given the mathematics of the doublings correlate the Planck Length  Planck Time with the experimental evidence of the speed of light for a second, a minute, an hour, a day, a week, a month, and a year, one can see that the apparent exactitude within the smallscale universe continues to manifest throughout the humanscale and well into the largescale universe. 11. The foundations of these foundations and the place of the Sphere. As earlier noted, this model began within a geometry created by a tetrahedron and octahedron and that study began within our high school geometry classes. There we went inside a tetrahedron by dividing each edge in half, connecting those new vertices to find the four halfsized tetrahedrons, one in each corner and the octahedron in the middle. Dividing that octahedron's edges, we find the six halfsized octahedrons in each corner and eight tetrahedrons, one in each face. We went further inside each object, following that exact same procedure. In just 40 steps within, we were inside the atom. In another 70 steps we could see the singularity of the Planck Length just ahead. We do not yet understand singularities so we turned around. However, for consistency, we adopted the mathematics at the second doubling of the Planck Length  6.46479988×10^{35} meters  and then just continued multiplying each result by 2. Within about 200 steps we are out to the Observable Universe. Our study of those numbers is here: http://smallbusinessschool. 12. Spacetime as a derivative. We were guided by a simple logic, a simple math (multiplying by 2), and a simple geometry. The logic of the math (order and sequence) coupled with the logic of the geometry (relations and symmetries) is in evidence before the expression of spaceandtime. It seems to follow  to be a simple logic  that spaceandtime are therefore derivative. Yes, that is a huge statement. 13. Perfections to Imperfections. If the next logical sequence is to begin to see symmetries interacting with each other, there would therefor be de facto dynamics for a type of perfection of those dynamics. Over the years of human history, that experience has been best described as a harmony. The problem with harmony is that it is so fleeting. We searched for the a simple breaking point where simple symmetries become irregular. We first found that with five tetrahedrons (pentastar), there is a natural gap of 7°21' to complete the full 360°of the circle. We then found those gaps were extended into the icosahedrons (20 tetrahedrons) and the Pentakis dodecahedron (60 tetrahedrons of the outer face). We also found it within the simples definition of a vertex: a sphere. Remember Pi (π)? It is a mathematical constant, and an irrational and transcendental number. First, it cannot be expressed as a common fraction. As a ratio it holds a dynamic tension between a circle's circumference and its diameter. There is so much more; however, here we look at just the first two notations. At this time, we assume the Planck Units all represent dynamic tensions between the universalinfinite that defines its characteristic and that this tension in every instance is best described as Pi (π). Within the first doubling there is now an active tension between its circumference and diameter. Within the second doubling there is a tetrahedral rendering within that circumference. Within the third doubling, an octahedraltetrahedral combination unlocks and continues to unlock at each subsequent doubling. Notwithstanding, here again we find an imperfect tension, degrees of freedom, built deep within the natural order of things that get further skewed by the many expressions of the pentastar. . 14. A Brief History. It took us three years to settle down with the fact that only Kees Boeke (Cosmic Vision, 1957) had ever attempted to develop an integrated view of the universe. He had used the much less granular base10 and he had no simple geometries within his model. Our emerging model is more granular, it starts with implicit geometries, and it takes all of current scholarship and asks the question, "What do these facts tell us about this emerging model?" Now, let us focus on this tinylittle World of ours. 1. It is a mess. One might ask, "What went wrong?" Deep within the smallscale universe we had discovered those two very real possibilities for degrees of freedom. To be continued....  A few notes: Does simple logic, simple mathematics and simple geometries work? Simple math using Planck Time and Planck Length validate experimental results. Space and time are joined at the hip. We know that. We know that that there is one Planck Length per Planck Time. We kindasorta "know" that. Today you can know it by observing several key sets. Each of these are a doubling of the Planck Length and Planck Time. There are only about 201 to contain everything in the Known Universe from the smallest scale to the largest scale. These can also be seen as clusters, domains, layers, notations, or steps. And, it all uses simple math and simple logic.
Take a look: http://smallbusinessschool.
First, see doublings at lines 142 and 143.
Essentially just a little shy of 143rd doubling,
one second equaled and equals the distance light travels in a second.
Double the Planck time, and each result over and over again
and in 142+ doublings you have a light second.
Going up, it is consistent for an hour, a day, a week, a month, and of course, a year.
Sweet. Very cool. Really.
We are still a little dazzled by the basic five Planck Units:
Maybe you can help tell us what we are looking at.
All those other doublings teach us something about the order in the universe:
