Saturday, September 8, 2012

2012  - Just because people are searching 2012

Since my last blog I have been researching the Mesopotamian Cubit viewpoint I discovered while looking for different cubit measures.  I found the measurement of 533.4mm for the Mesopotamian Cubit which is  exactly 21 inches or 1.75 feet. Or exactly as you can be going from metric to feet and vice versa. I also did some basic geometry to show the complexity of using a few simple steps can produce. I scanned and manipulated that image and it can be seen below.

You can obviously see the Magen David or Shield of David defined inside the Hexagon. The 6 white dots you see around the perimeter were added just to show you where to place the compass point as you draw the intersection points for the hexagon. You first draw the large circle then place the compass anywhere on that circle. Then you mark two marks side to side and then move the compass to those two new points and mark the next to.  If your compass does not move and you are careful you will have a very accurate hexagon when you connect the 6 points with a straight edge.

Drawn by Author using a compass and straight edge
The orange square is created by using two of the hexagon points and two points half way between two hexagon points. The two midway points can be found when you draw the lines for the two Equilateral Triangles you draw for the Magen David. Note the point created when a blue line crosses a white line.

If you use this square as the base of the Pyramid you can see how the pyramid can be used to derive several values.  But so could any square. The larger original circle which uses the hypotenuse across the square as its diameter.  The center circle uses the side length of the square as its diameter.  When you divide the circumference of the larger circle by the smaller you get the square root of 2. This may seem "magical" but it is not that odd.  All squares have the square root of 2 in them.  The hypotenuse of any square can be found using the Pythagorean Theorem. When the figure is not a true square this is the best way to find the hypotenuse.  You take the short side squared and add it to the long side squared then you find the square root of that number and that is the length from corner to corner. In a true square this is not necessary.  Now follow the logic. If you have two equal side lengths that you are squaring and adding that is the same thing as saying 2 times the square of one side and then you find the square root of that.  It would be simpler to just use the mathematical constant Square Root of 2 times the length of 1 side.  All things being equal the use of a square to define the diameters of the two circles is now quite obvious. One diameter is already the square root of 2 times one side of the square (the bigger one) and the smaller circle diameter is simply one side of the square.  Pi is used to find the circumference in both circles so when you divide the two circles the Pi cancels and all you are left with is the square root of 2.  Hopefully that wasn't too confusing.

This is not really a lesson on the Great Pyramid as much as it is on the origins of sacred geometry. But this does harken back to my early posts about the special qualities of the Hexagon (a 444 word) and how deeply embedded in Sacred and Regular Geometry it is. In Geometry when you use simple forms to create and define other forms these are called Constructs.  As far as I know the easiest construct to make from a circle is the Hexagon.  Some might think that the line we were taught in school by using the compass to create a circle then widening the compass to make two arcs to define a line where the two arcs meet would be the first but actually the Hexagon doesn't require you to readjust the compass.  In the above drawing the compass remains unchanged through out until you draw the center circle. By the time you make the Hexagon and the Equilateral Triangles which form the Magen David and the Large Square you have defined the boundaries of the center circle. You could in fact not even draw it and just leave it as theoretical and still calculate its size.  Any circle drawn from the center to any set of points defined with the straight edge would never have to be drawn. They could simply be deduced. And so could their mathematical relationships. The drawing helps to visually see the relationships.

The image I drew with just a few connected points is rather simplistic but already we have 5 major basic shapes in geometry. Circles lead to Hexagons lead to Equilateral Triangles lead to Squares and this leads to Octagons. We can also see points defined for Diamonds and a 12 sided polygon, which is a Dodecagon.  We could measure them but given the limitations of our tools we could never draw or measure accurate enough. The constructs however can show us which formulas to use.  Contained in just the few simple constructs shown above are square roots of 2 and 3, Pythagorean theorem, and Pi as well as others I am sure.  We get the square root of 3 from the ratio of the large hexagon that we then use to form the Shield of David and when we draw the lines for the Shield/Star of David we get a smaller hexagon in the center which is in a ratio of the square root of 3 to the larger one. Squares give us root of 2 and hexagons and equilateral triangles give us root of 3.

This use of simple tools and more or less simple math was almost certainly known to the builders of the Great Pyramid.  Using the Pythagorean Theorem alone we can deduce the area of the triangles that form the 4 faces of the pyramid.  First we find the length of an edge of the pyramid using the PT. If we use the Height of the pyramid in MesoCubits we have 275. Then half the hypotenuse of the square formed by the base of the pyramid.  This gives us A and B for our equation.  Square the two, add them, then find their square root and this will equal the length of the edge. If we look at the face as just another triangle we now know this edge will be the hypotenuse of our next calculation. If we draw a line across the face starting at a point centered between two corners up to the peak this will be the long side of our right triangle.  We could square the length of the corner, subtract the square of half the base, and this would give us the length from the center of the base, up the face of the pyramid, to its peak. You find the root of that number and you have the length.  You can cross check this another way. Imagine a triangle where the line you make on the face, from the center of the base running up to the peak is our hypotenuse. You can use the height as B, half the length of the base which is the distance from the outside to the imaginary center of the pyramid. This forms a triangle with the height as the B the distance to the center which would be A and we again use the PT.

Here are both those calculations in MesoCubits.

Triangle  defined by;  edge, half the hypotenuse of the square formed by the base, and the height method.

Height Squared = 75625.  Half the Hypotenuse of the base, squared = 93312. Add the two = 168937.  We find the root of this and we find the length of the corner edge which is 411.01946.  Now we know the length of an edge.

This is the hypotenuse of our next triangle.  And another known part is a line from the corner to the center of the face.  This is half the length of a base.  So according to the Pythagorean Theorem we work backwards.  We already know what the corner edge squared is 168937 and half the base squared is 46656.  Subtract that from the corner equals 122281. We root that and find 349.687. This is the length of a line that would run from the center of the base up to the peak. Unless I have messed up somewhere.  Which as you probably noticed wouldn't be that hard to do given what you have to keep track of.  But I think these numbers are right.

So we now have the edge length, the face length, and half the base length.  If we imagine that the two halves of the face created by drawing a line up to the peak forms the two parts of a rectangle by flipping one of the sides of the face we can just use the formula a x b = area for a rectangle.  When I do these calculations I always have side "a" as the short side, b is the long side, and these two form the right angle and c is always the hypotenuse if we need it.  So the area of a face is 216 x 349.687 which is 75532. 392.  We could round off the face length to 350 but as you will see not rounding these numbers is important.  I have truncated decimals here and there for the sake of ease but as we proceed I will copy and paste the data from my computer program that used quite a few decimal places to find these numbers.  The reason will become apparent.

So now we can find the total area of the pyramid including the base.  The base is 432 x 432 = 186624 and the total face area would be 4 x 75532.392 = 302129.568.  These numbers total 488753.570. This is the total area of the pyramid, base and four triangular faces. Side not though. Actually there are 8 sides of the Great Pyramid since each face is actually bent inward at the center but let's not go down that road yet.

But we were going to see the second method for determining the face height.  We already have those numbers handy. The distance from the outer edge of the pyramid base in the center of a face to the center of the pyramid itself where we get the height is half the length of one side or 216.  This will be our "a".  Our "b" will be the height.  The face height will be our c.  So using the PT we have 46656 + 75625 = 122281.  Look familiar?  Look up at our first method.  We got the same number but we just did it two different ways.  The root of this number is the length of our face or 349.687.
So what do we know? We know we have the face length right and therefore we should have the area of a face right and the area of all four faces is easily derived. We know the area of the base by simply squaring one side as you would any square.
What can we do with these number?  Ah ah.....be nice.  Let's do some ratios.  You will find if you do these kinds of calculations that ratios are a huge part of this "discipline" if you can call it that.  Ratios tell us things. For instance Pi is a ratio between a circle and its diameter.  There are those who think Pi is wrong but we have lived with it so long we can't change now. Pi is still valid but the number we should be looking at is being called Tau which is the Circumference of a circle divided by its radius because when  you make a circle you start with a radius.  Tau is "more natural."  We will explore Tau later. For now Pi will suffice. And if you haven't figured it out Tau is just Pi x 2.
Let's make some Ratios!
I copy and pasted the data from my program here leaving in the decimals.

The data from my program

Enter Cubit Length in mm 533.4
Enter length of base 432
Enter Height 275

Mathematics of just the Pyramid
Base in Mesopotamian Cubits 432
All calculations made from base measurement

Length of edge from base to top 411.019464
Total Length of Edges 1644.07786
Perimeter  of base 1728
Total edge lengths 3372.07786
Length of face from base to top 349.687003
Face area 75532.3926
Total Face Area 302129.571
Base area 186624
Total Area 488753.571
Ratio of total area divided by face area 1.61769525
Ratio of total area divided by base area 2.61892131
Ratio of face area divided by total area 0.6181634
Ratio of base area divided by total area  0.3818366
Difference between total area divided by base and face ratios 1.00122606
Difference between total area divided by face and face divided by total area 0.99953184
Speed of Light in MesoCubits 5.62040604e8

Here is the data if you reverse the two numbers for height and base length

Enter Cubit Length in mm 533.4
Enter length of base 275
Enter Height 432

Mathematics of just the Pyramid
Base in Mesopotamian Cubits 275
All calculations made from base measurement

Length of edge from base to top 473.747296
Total Length of Edges 1894.98918
Perimeter 1100
Total edges 2994.98918
Length of face from base to top 453.354442
Face area 62336.2358
Total Face Area 249344.943
Base area 75625
Total Area 324969.943
Ratio of total area divided by face area 1.3032947
Ratio of total area divided by base area 4.29712321
Ratio of face area divided by total area 0.76728617
Ratio of base area divided by total area  0.23271383
Difference between total area divided by base and face ratios 2.99382851
Difference between total area divided by face and face divided by total area 0.53600853
Speed of Light in MesoCubits 5.62040604e8

As you see it totally disrupts the ratios at the bottom.  But there are some interesting numbers in there to look at.
I have also noticed something interesting in the number of layers which is 210 that comprise the pyramid. I haven't fully studied those yet.  Assuming we make it through the winter and 12/21/12 I will be working on those. Winter is a good time for such things since there isn't work to do around my house and I have nothing else to do but sit at the computer working out formulas and algorithms.

We are focused on the 1.618 numbers at the bottom of the first data paste.People who play with numbers will know these numbers as Phi and its derivatives. 

Phi is called the Golden Ratio. The symmetry of Phi is said to be the most aesthetically pleasing ratio in buildings, nature, and faces.  The spiral of a Nautilus shell and the arrangement of petals in flowers and many many other things in nature exhibit Phi. The spiral can be obtained using the geometry of square numbers and squares. Plenty of pages can be found showing this method but there are many. If you want to cause your brain to explode you can try this page -  http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/phi2DGeomTrig.html#hof2004 .  It can also be obtained using the Fibonacci sequence.  I wrote a program for that too.

The first ratio of total area divded by face area is pretty close to  Phi  1.6179 rounded from the 10,000ths position would be 1.618.  The interesting thing about Phi is that it produces itself when squared or when you add 1.  Phi squared equals 2.618 and Phi plus 1 also equals 2.618. Phi minus 1 equals the .618 you see in the face area divided by the total area and that number square is the same as the base area divided by the total area.

Using my program I determined as long as your base length when divided by your height is pretty close to one half Pi then you will get Phi in the area calculations. This is a property of Pi Pyramids. Any pyramid created with these ratios of base to height will produce this. However this does not work in reverse.  When I reversed the numbers for base and height and worked out the areas I did not find Phi as I recognize it. Perhaps there is a "permutation" of it but I haven't bothered to look yet.

 I left that last line of data in to show you where I am heading with my investigation.  I am looking for more than just Phi. If the Great Pyramid is a message it most likely contains other numbers. It is clear to me that any Pi pyramid will get you Phi or at least a very good approximation of Phi. Phi is in itself a whole subject you can spend weeks studying. Some people have spent years. But this pyramid is built in a certain way.  A second and perhaps third level of encoding.  Pi and Phi are level 1.  The use of 432 as the base is level 2 coding.  432 was used because it tells us the message is about time.

If we are dealing with a sufficiently advanced mind here then these measurements were chosen for a reason.  The number 432 being the base length in Mesopotamian Cubits, if indeed 533.4 is a Mesopotamian cubit is huge.  432 is found all over the place and the mathematicians in every ancient culture found it.  The number of seconds in a day is 24 x 60 x 60 = 86400 which is 200 x 432.   The time interval the "second" is derived from the Sumerians who are the oldest known civilization and I am beginning to think they built this pyramid and the Egyptians are either descendants or just people who built a civilization around it. I took Ancient Egyptology in college but I don't remember that much so I will have to look into the creation stories both in the mythology and the Egyptian people themselves.

There is also the avenue of 432/6 = 72 which is tied into the precession of the equinoxes and the total length of a precession period, the time it takes the earths polar wobble to come full circle, is 25,920 years which when divided by 432 equals 60.  Imagine that.  Another basis in reality for the number 60. In seconds that would be 2,239,488,000.  Why I am doing these calculations will become apparent in a few minutes.

We still use their time measurement system which is sexigesimal or based on the number 60. The Ancient Alien crowd think this comes from the idea that the Ancient Aliens who created out species had 6 fingers on each hand and 6 toes. A common occurrence actually in our species called polydactyly .  And the Bible mentions the six fingered people. You probably didn't know that. Don't feel too bad. Most people, even Christians, have never actually read the Bible.  2 Samuel 21:20 "And there was yet a battle in Gath, where was a man of great stature, that had on every hand six fingers, and on every foot six toes, four and twenty in number; and he also was born to the giant."  and other references which I am currently researching with another program I am writing and the entire King James Bible in Text format. That will be a blog post all its own.

The current measurement of a second is done by using Cesium clocks where the outer electron is excited using a Maser or microwave laser. This causes the electron to jump an energy state and then fall back like a rubber band of sorts bouncing back and forth between the two states in a very precise manner.  A certain number of these jumps and falls and the associated photon of energy that is released is called arbitrarily a second but not totally arbitrarily. 9,192,631,770 ticks per second. The number of "ticks" was chosen to closely match the already existing notion of the duration of a second. Which still comes from Sumeria and dividing the duration of a day into a system of 60s.

If the Giza Pyramid/Great Pyramid builders were mystery builders or message senders of some sort they would know how to layer the knowledge they are sending.  The choice of 432 in the base would dictate the height of the pyramid but other numbers that ratio out to half Pi could have been chosen. Obviously many smaller numbers would have been easier to build so this structure was built with those number on purpose.  I am also looking into the precision that 432/275 offers as opposed to say
two other numbers.  339/108 is a very very good approximation of Pi itself but 339 doesn't tell us about time. 432 does.  Interesting though that 108 is 432/4. Just a thought.

In the paradigm that this is a message in a bottle worked out by very very intelligent people who had a culture that spanned thousands of years and watched the skies and had a kind of science we may not yet understand it is no more inconceivable that they know of something coming in our future that we haven't figured out yet. The knowledge that we attribute to the Greeks was known before their hay day and we have relearned the same knowledge several times.

Did they have telescopes that we just haven't found yet and calculated the orbit of a comet or asteroid that will impact us?  The asteroid Apophis may do so in 2036.  We will know 7 years before it happens because it will make a very close pass in 2029 and if it passes through a certain "window" of space near earth then we can calculate that it will indeed return and hit us somewhere near California. Do you think that is apocalyptic BS?  Would you believe Neil deGrasse Tyson the now famous astrophysicist? Here is that link - http://www.dailymotion.com/video/x9jv7j_neil-degrasse-tyson-on-apophis_tech

Or is it something else?  Something to do with a cycle of the earth itself? The Yellowstone caldera collapsing?  The sun and the planets passing through the ecliptic plane of the galaxy where all the stuff of the galaxy is?  Is it a sun cycle they discovered that nearly wiped them out or wiped out the culture they came from and will return again?

If a sufficiently advanced civilization can determine the length of a second, the duration of the phenomenon known as precession, the value of Pi, Phi, and square roots and the so called Pythagorean Theorem thousands of years before Pythagoras and they knew something we don't about the future of our species it would not be as difficult as you might think to give us an exact date or a very close time frame using the methods I have described and some I and others haven't even thought of yet.  Think of this.  If I know how many seconds are in a year and there are several different kinds of years but they are pretty close to each other and I gave you a number that represented seconds from a certain point then I could tell you within days and maybe even hours depending upon the method used when that event will occur.  I could calculate an eclipse hundreds or thousands of years in advance just based on common astronomy/astrology. Several cultures did. It's not hard to do. I could even count the ones that should occur between when I built the pyramid and when the event I am warning you about will occur. If I used something like an eclipse count as my reference point to you in the future and then a number of seconds count from say the last eclipse up to the event I could tell you within hours thousands of years from my time up to  your time when to "be aware".  I might even be able to tell you the event.  And maybe we have already been told that event and we just aren't listening.

We may think it is mythology or folklore when the myths and religions that have been passed down to us, watered down, corrupted by others, and even in some cases intentionally erased by people like those who burned the Library of Alexandria or other great assaults on science perpetrated over the ages.  That knowledge may still be there in the form of this massive message in a bottle that time and people like the Romans, French, Egyptians, Catholics, and others could not erase.  We just need to find it.

I imagine that some very smart man or woman or group figured these things out long ago. Your Mesopotamian equivalent of Archimedes, da Vinci, or Euclid. Maybe they were listening to the "mind of the universe" when they figured out mankind was in trouble thousands of years after their time. And just in case they weren't around they wanted to let us know. Or maybe they lived it once already. In which case it is an event that occurs more frequently than say millions of years like the 30 million year cycle of our solar system passing through and above and below the ecliptic plane of the Milky Way Galaxy. Perhaps just thousands.

Around this knowledge sprang culture after culture and religion after religion. Buried in these cultures and religions you find the same basic themes over and over.  Numbers and Sacred Geometry and not to be too specific but an apocalypse associated with fire or as in the Bible a big rock falling from the sky called Wormwood.

I am not saying these are truly sacred or have any connection to the divine but just like my thoughts about the number 444 being built into the universe so is the number 432 built into our local part of the universe and so are these other values. Sacred Geometry could be the mind of god if you consider god to be the "mind of the universe".  The program that is the process of the universe acting upon itself with certain rules. It is not difficult to imagine that since the universe does have rules and all things follow these rules you can imagine this as some kind of intelligence. Machine like if you will but still an intelligence. Each interaction will follow this set of rules. Hydrogen burns in oxygen you get water. The metal sodium reacts with chlorine and you get table salt. Put enough heat and pressure on carbon atoms and give them enough time they will arrange in such a way as to turn from black graphite like that in a pencil into clear see through crystals called diamonds.

The build up of simple systems into complex interactions and ultimately into life is an intelligence. It isn't random acts. It only appears random to some.

The discovery of the patterns in nature, this sacred geometry is just an expression of that mind. Atoms and molecules follow a geometry. It is not surprising that our minds, being made of the stuff of the universe, are beginning to figure out these things. Maybe our species has done this before. It isn't too hard to believe that our ancient ancestors might be trying to warn us. It is at least worth the effort to find out.

Thank you for your time.

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