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Last Update: Thursday September 23, 2021

These simple facts are for children, yet really for all of us, just to keep opening conduits to natural creativity.

An adult can also grasp these facts to open a possible new synthesis for one's genius.

Editor's Note: There are obvious facts - not just ideas  -  that could stimulate a child's natural creativity simply because these facts exercise part of the brain that engages spatio-temporal relations in basic ways.  These all seem to be "basic-basics" that do not have much currency within education today. - Bruce Camber

Perhaps engaging these questions is a little like listening to Beethoven before one learns how to speak.  Adults might benefit by exercising one's brain in ways that  expand one's commonsense logic structure.  More...

Fact #1:  A most-basic, three-dimensional object in space-and-time is the tetrahedron.
We all should know the object very well. Some adults may be a little familiar with the object, but generally it has no particular importance. It should. It is the most basic building block of the sciences.

Children should play with tetrahedrons and octahedrons as well as other kinds of building blocks. Now here is a postulate; it is also the most basic building block of epistemology and heuristics.

Fact #2Most adults cannot tell you what is perfectly enclosed within the tetrahedron.
This is not just a lack of insight into geometry, it is a lack of insight into the basic structures of biology, chemistry and physics. Look at the tetrahedron on the left. There are four tetrahedrons within each corner. The center face (yellow) is one of the four exterior faces of an octahedron. Its other four faces are interior.

Tetrahedrons in a tetrahedron

This image comes from the television series back in 1997 when we were trying to model "People, Products, and Processes" of business.  Now about that object identified in the center, the octahedron, it is magical.

Fact #3The octahedron is another most basic three-dimensional object, needs more attention.
From the octahedron we start seeing squares for the first time.  Yes, the ubiquitous square is derivative.  Now most scientists, logicians, and geometers cannot tell you what is perfectly enclosed within the octahedron.

That is a profound educational oversight. 

Within each corner there is an octahedron.  There are six corners.  With each face is a tetrahedron.  There are eight faces.  The tape inside define four hexagonal plates that share a common center point.  Notice the tape comes in four different colors.

The internal structure of the octahedron is simple but opens the way to complexity quickly.  By making it a practice to look inside basic structure,  the mind gets exercised in very special ways.  Quickly, this simplicity-that-is-complexity becomes metaphorical.  The mind begins seeing similarities, analogies, and metaphors everywhere.  The mind begins making the strange familiar and the familiar strange. By going inside the octahedron one learns basic order, then basic relations that become functions that move the mind further within the interior world. More...

Octahedrons in an octahedron

Fact #4You've got the whole world in your genes.  We are all related.  A simple mathematical progression demonstrates the fact. Instead of just knowing  two-three-four-maybe-five family names within your family tree, go back 400 years.  How many unique names could there be?  Over 100?  1000? 100,000?  ...a million?

Any person who has done a little genealogy knows the answer, but the necessary conclusions are not widely discussed.   It is truly an amazing progression; we see the richness of our genetic heritage.

So let's make it a personal question:  If all your grandparents and your great-and-greats  were totally magical, and for the past 390 years they all remained alive, how many people would be cheering for you as you were being brought into the world?  Assume 30 years per generation (or 2-to-the-13th).  Now go back about 1000 years or 2-to-the-33rd.  What do you discover?

You have the whole world in Your Genes Apron
Click here for the answer.

Fact #5:  There are 24 time zones.   We do not think of them simply as Time Zone #1 to Time Zone #24, yet we could. First, it is a fact.  And, second it provides an ordering system to learn geography and know the approximate time in each country.  Using the Universal Time Coordinates offset creates a layer of  obfuscation.  Visualizing each of the 195± countries in the world by the Time Zone within which each is located, 1-to-24, is simply easier. 

Every child can know at least one country in each time zone while in elementary school.  By junior high school, they should be able to calculate the time in most countries of the world, Time Zone 1 through to Time Zone 24.  All along this path, we will all learn many of the GPS coordinates as well.  Those with a keen interest in spatial geometries might then graduate to the Universal Transverse Mercator system (UTM - links to Wikipedia reference) devised in the 1940s by the Army Corps of Engineers. Let us all learn to think of the world in its entirety.

Click here to go to the larger map.

Fact #6There is power in a question.  And though we may not think so, children need to learn  how to  probe into their understanding of things through the power of a question.  

At some point in time most children learn the power of the "Why?" question.  It is high time for parents and teachers to reverse that role and ask children The "Why" Question so they begin to construct and reconstruct causal efficacy

Questions are powerful tools. Good questions open an interior world of thinking. One of the typical questions children are asked, "What do you want to do when you grow up?" pushes one's thinking into the future. We should also ask children, "What kind of business do you think you might want to start?"  

Fact #7: The Big Board - little universe. Using base-2 exponential notation, take the smallest measurement, called the Planck length (PL), and multiply it by two. It takes 101 steps ("doubling") to reach the width of a human hair and 101+ additional steps to reach the edges of the observable universe. It begs the question, "Is this a meaningful way to organize data?" And, it inherently asks another question using the five platonic solids: "Is  there a basic structural support created by nesting objects within all 202+ steps?" At the very least, it helps to organize data. In the smallest scale, there is conceptual richness.  From step 1 to 65, the sum of the distances is equal to one-Planck-Length-less-than-the--diameter-of-a-proton, yet there are over 36 quintillion primary points to make every conceivable model, of any object or thing in existence.  Now that opens up an interesting thought experiment.  More...

Fact #8:  There are traps, potholes, and blind spots within both religion and science. Just be careful and thoughtful; it can be a mean-spirited jungle out there.

More simple facts are coming.... Do you have one to contribute? Let us know!

Big Board - little universe