Teotihuacan Geometry

If the reader is not an engineer type who has designed, fabricated, installed and started up big complex operating plants, then there are a lot of observations at Teotihuacan that would perhaps go unnoticed.  This would include professors, archeologists and anthropologists.  In this line of thought, somebody like a craftsman that does the digging, construction surveying, stonework and construction sequencing might have a leg up on highly educated people with specific research funding strategies.

Below is a fairly comprehensive scale model pieced together from an online model widely used on the internet.  The credit is included in the image.

In the top left portion, we see the Pyramid of the Moon area which is very distinctively designed.  Notice how the smaller flat-topped pyramids are only all finished on the side facing each other and the “Avenue of the Dead” which will be referred to as simply the avenue herein.

Please notice here and in other images on the internet that the stairs are not stairs. There are no original handrails; the steps are too high; and the steps have a solid rock wall on each end that would be difficult and unsafe to step over.  It should be clear to anybody with acoustical and electromagnetic signal process experience that these smaller flat topped pyramids are performing some type of operating function.  The steps are not only directed across the way to pyramids on the other side, analysis of the geometry indicates a very precise design layout to be discussed further below.

In the top right of the image, it is clear that the design from the Pyramid of the Moon area to the Pyramid of the Sun area is of another distinctive design with clearly a similar but definitely different function from the smaller pyramids in the moon area.

In the bottom image it is clear the Pyramid of the Sun does not have multiple supporting pyramids that would be interfacing with the largest pyramid.  It does not show in the image above, but the bottom center appendage actually is cocked away from the normal alignment in the northeasterly direction. That will be discussed further below.

Also in the bottom image and far right is the much smaller Pyramid of the Serpent and Citadel on the far southeasterly portion of the overall layout.  The surrounding courts and smaller pyramids have a very distinctive but totally separate arrangement from the moon or sun areas. In is clear the function of this area is different than the others.

This model is included here to help the reader get an overall 3 dimensional feeling for most of the discussion from Google Earth which is largely 2 dimensional for measuring purposes. 

Google Earth was released in mid-2001 but now with the historical imaging available, it clearly was very low resolution and low accuracy in the first decade or more.  It only now in the last few years is getting very precise.  On my homestead in Idaho that has been subdivided and surveyed several times, GE can measure the corner distances and azimuths to within a few inches and minutes of degrees if the user is careful to be sure the image is fully flat and fully magnified at the corners of interest when placing the markers.  My homestead is on the side of a mountain and has numerous gullies to pass over.

Layout Wall

The builders perhaps figured sometime in the future somebody would be looking at the layout via satellite imaging and thereby presented a “legend wall” to find the source of lineal units and the azimuths.  While Professor Rene Millon of the University of Rochester in upper New York made an epic effort to survey the site and provide serious mapping, he made one really important error in judgement causing the mapping to not really reflect the “as constructed details”. 

His layout grid properly shows the SW to NE at 15 degrees 25 minutes which converts to 15.4166667 degrees.  It will be shown here that the intended layout direction is 15.41291239 or 15 d 24.77 minutes.  This is not the Professor Millon major error.

The survey was made in the early 1970s and he and I had a telephone exchange and email exchange in the 1990s from which he sent me CDs and a means to purchase one of his books containing the maps which I still treasure today.

In one exchange I asked if he was sure that the alignment off the northerly grid to the easterly grid was a 90 degree angle, as shown on his maps.  Getting a little testy, he suggested if he had included all the errors the layout had in that regard, they would still be there surveying in 1990.  I had aerial photographs that I had imported into the computer and it clearly indicated the alignment was not 90 degrees….close…but about 1.5 degrees off in several important cases.  This caused me to give up on his maps and move onto to something else at the time.

While developing the blog on analysis of the “inner being”, an unusually complex image kept appearing in my “mind’s eye”.  It took a long time to finally figure out it was close, but different, to the Millon map of Teotihuacan.  Then along comes Google Earth which was pretty fuzzy in the early years but finally began to get most of the populated areas refined and turned more attention to scans in research areas like Teotihuacan.

The image below is from a 2013 scan which appears to focus better on the ends of a wall south of the Pyramid of the Sun and makes it easier to find the true length and azimuth. The more recent scan is difficult on the NW end due to shadows and possibly some restoration work. Fortunately, GE has the ground level option in which there are very cleaver photographs made into a 360 degree image as the focus is drug around with the mouse center roller.  In that image, it is clear what happened at the NW end where there was some serious restoration.

 

The length shown in yellow is 1000.00 feet.  The azimuth shown is 286.57 degrees from bottom right to elevated left.  These numbers are self-deciphering.  Let’s see what that means.

The azimuth is hf^⁽³⁾ x 100 where hf = 1.4204057518892 the digits for the hydrogen hyperfine frequency used herein to yield 286.5743176 from a ten key calculator. If one has an “angle at question” the first thing to do is take the trigonometric functions and see what develops.  Taking the sine yielded -0.958450536  and doubling the reciprocal and dropping the negative sign, yielded a number known to be divided by “A” = natural log base E=2.718281828 minus 1.  The result yielded a number known to be related in another way to the hyperfine frequency.  Multiplying by 1000 (as in the 1000 foot length suggestion) a number developed which divided by the ever important number “5” to yield 1.420404 which is very close to the real stationary hyperfine frequency.  This circular redundant operation is a means to deciphering the important relationships, on average, at the site.  This is not to say all northerly layout lines are at 15.41xxx degrees or the easterly layout lines at 286.57 or the reverse direction at -180 degrees or 106.57 degrees.  It is just that the average layout lines are meant to be these directions.  However, it would complicate the dickens out of Prof. Millon’s maps if the grid lines were not at 90 degrees and certainly would have complicated the survey.

The angle between the northerly grid and the easterly layout is generally 91.1 degrees to 91.8 degrees.  This is the error Prof. Millon’s effort made from the 90 degrees he chose to make the survey indicate the two pyramids of Sun and Citadel.

But is there some further indication of “design intent” that fits in with the way we currently view our universe.  Earth humans currently think of the universe as composed of energy (light and heat) and matter (primarily hydrogen).  Lately we have further classified a major portion as dark energy and dark matter, still thought of as a theory.

If the reader is not sure what the Rydberg Number is, this is probably not the place to do fundamental learning about it.  Basically, the real Rydberg Number for elemental hydrogen in the Lyman Series, the most abundant hydrogen wavelengths, is the number resulting below:

          (30*30*5/ln(1.718281828))^(1/2) = 91.17531513  (30’s are used to position the decimal right for the purpose of this model.  The decimal can be anyplace since it is the sequence of digits that is all that is important for communication purposes.

          That 91.17xx number divided by the quantum number 0.75 = 121.5670869

The basic Teotihuacan layout is designed around three very important fundamentals of hydrogen, the main ingredient for our visual universe.  The three terms are below:

          15.41291239 x 16/100 (doubled 4 times) = 2.466065982 which is the frequency for the most abundant hydrogen wavelength of 1.215670869 achieved by dividing the speed of light by the wavelength.  As mentioned above, this is the precise northerly layout azimuth. Hydrogen fundamental No. 1.

          286.5743176 is the azimuth mentioned above for the easterly layout. Hydrogen fundamental No. 2.

          91.17531513  is the angle between the northerly and easterly layout azimuths. Hydrogen fundamental No. 3.

If one does the actual math, you find the hydrogen azimuths appear to be off by a factor of 1.00001647, both in the Doppler shifted velocity of approach.  Our current measurements are all made on earth where the source and receiver are each stationary relative to each other.  However, no place in the universe is really stationary relative to some other place.  So the first step in making a useful number is to correct for earth orbital velocity and the tangential velocity due to the rotation of the earth.  This correction is the basis for the correction indicated by the number 1.00001647. Any other deviation is likely due to the velocity of the distant sighted object relative to the observer on earth.  Of course, the Hubble Telescope has different parameters due to its own orbital parameters.

The design at Teotihuacan teaches us to get ready to view distance frequencies and wavelengths with a correction for earth based velocities.  Our modern astronomers already do this without any fanfare.  Obviously, most distant objects are not perfectly tangential to earth surface, so a further angle must also be included depending on where the distant object is at the time of viewing.  Computers have taken the fight out of this complexity.

There is one more checksum to verify the selection of azimuths was intentional.  If we take the dimensionless conjugate ratio of the 15.4112xxx and the 286.57xxx number and take the square root and then double one sees a very good and pertinent checksum

          [(286.57xxx +15.4112xx) / (286.57xx – 15.4112xx)]^^(1/2) x 2 =2.110621 which is the hydrogen hyperfine so-called 21 cm wavelength. (2.99792458 / 1.420405) to six digits of precision. We will return to this line of reason after pursuing some other rather stunning revelations from Teotihuacan.

So now we can see we should be expecting a lot more detail mathematics from the Teotihuacan design. If wherever this model applies there is a slight Doppler Shift, then it could be more precise.

Teotihuacan Citadel Model

The mathematical model below is from the Citadel Area at Teotihuacan involving the westerly boundary of the obvious wall (see blue in image second below) and the near right angle of the southerly boundary (yellow).  The striking aspect of the whole construction at Teotihuacan is that almost everything is quadrangular but definitely not rectangular or squared with 90 degree angles.  The larger of the angles is 91.1 to 91.7 and the opposite angles needing to be 88.6 to 89.9 to make the sum always 360 degrees.

Google Earth can indicate measures to 0.01 degree azimuth but getting it to do that repeatedly is quite difficult and requires some special techniques to make the measurements as precise as possible.  However, if the measurements are close enough to find a mathematical model, such as above, then they can become more  mathematically precise.  The question of whether the builders intended that interpretation depends on how redundant the models are.

While the number 1838.683369 is nearly exactly what our current measurements show the muon to electron mass ratio to be, this number is simply derived from the maximum ratio of the hydrogen Lyman Series wavelengths at 1.3125.  One of the quantum numbers is 0.96 or 12 x 8 /100 also used in the model below. 

In MathCAD, one first assigns values to the measurements which from Google Earth are 0.01 feet in precision.  If it is established there might be a model solution, then the model output is recycled repeatedly to the assignments until there is no change between assignment and output.  That has led to some amazing precision and apparently previously unknown relationships.  See in the bottom right corner typical starting data that is more likely what might be measured on GE.

The hydrogen hyperfine frequency derives from the proton and the most abundant Lyman Series only from electron energy probabilities.  The fact that the most abundant wavelengths are so related to E -1 = 1.718281828459 is covered below.

In the bottom right red underline above we see that the “aang angle” creates a relationship between the azimuth from bottom right to left top of hf^³ x 100 = 286.5743176 and the opposite direction of the diagonal from NW to SE of 12.15670869 squared = 147.7855662 +180 assuming north to be 0,360.

 

Google Earth has measuring capabilities maybe not typically used by non-technical people.  In the drop down, there is the top left category of “line” which measures distance and azimuth.  In the next category to the right is “path” which measures the circumference of say a rectangular path.  That option is used below to show how the step of one of the small pyramids near the moon connects to the steps on the small pyramid across the court from it.

 

The green paths develop a circumference based on the conversion of feet or inches to the metric equivalent such as 0.3048 meter per foot.  The northeasterly direction of anything parallel to the avenue is 0.3048 x 50 = 15.24 degrees.  The overall distance of the avenue is quite near the radius of the earth at 6378 kilometers but here scaled down to meters instead of kilometers.

Perhaps many readers are of the mind that earth humans inherited the English System of inches, feet and miles from some unknown time in the past.  But many people think the metric system was invented, primarily by the French, in more modern times.  So it might come as a shock to think the layout at Teotihuacan would contain irrefutable evidence of the conversion 0.3048.  Actually, the original conversion was 0.304797 before a committee of genius level folks decided to round it off to 0.3048. It will be shown just how much folly there is in eliminating the English System.

It will be shown that vector geometry is the language of creation whether you believe in God or a “Creative Force” like Edgar Cayce used 1100 times in his readings.  Einstein had to steal vector geometry from other mathematicians in order to formulate his Theories of Relativity. The average reader is not going to put up with getting too far out in the mathematical weeds and so we must tread lightly in that arena.

The image below was absolutely stunning.  It is an area where the restoration folks had little interest and so it likely is quite precise.  One thing about geometry, the janitor cannot make data repeatedly more precise….he can only destroy the precision.

The primary image in yellow is shown to be a very small portion of the overall layout marked in red on the top right just NW of the Citadel.

 

In the left center marked in white is the length of the outside of two rectangular notches that measure 39.37 feet.  If we have a distance of 12 meters and divide by 0.3048 we get 39.37 feet.  Of course a similar conversion works for centimeters to inches.

The horizontal yellow lines represent constant latitude.  One can see that the middle line runs thru the midpoint of the white line and is at latitude 19.685208.  In the white box it shows the conversion of latitude to conversion constant by dividing 6 by the latitude to get the older conversion of 0.304797389.  Apparently the builders figured out some future pack of smart folks might round off to 0.3048 and they included it at the bottom corner.  The top corner, equally up from center at latitude 19.685342 and 0.304795314.

 

Defining the KG / LB Conversion

Just north of the meter/foot conversion area is another area that seems to focus on the kilogram to pound conversion.  While the gram has been defined as a cubic centimeter of pure water at standard conditions for a long time, the meter has fluctuated a great deal in the last couple centuries.  Obviously, the centimeter (meter /100) changes the weight of the gram.

In the image below, the first investigation pointed at the red outline of the three rectangles including the legs connecting them.  This seemed to repeatedly come out pretty close to phi squared times 100, used in multiple places at the site. Suggesting the perimeters might be important, the investigation moved on to the circumference of each of the three rectangles (marked top, mid and bot). The 2.20462 conversion showed up in a series of three equations, all using that conversion.  The fourth equation made it possible to solve for the Teotihuacan conversion in the Mathcad image below.

The top portion shows the results when the near modern conversion 2.2046188 is used and the 0.3048 meter to feet conversion is the exact result. The bottom half uses a slight variance 2.20461883 to get the midpoint Teotihuacan conversion of 0.304797389.

This represents a far more logical method of establishing units albeit outside the typical precision we typically use in the manufacturing industry.  It is very significant how this model envelopes all three circumferences into degrees as if imagining a circle 360 feet in circumference such that each foot on the circumference represents one degree.

 

 

Let me demonstrate the discovery process.  First the top was traced carefully using the “path” function of GE.  The typical measurement was 90.70 to 90.72, dividing by 2 and taking the reciprocal gets to .02205 or .022046.  In either case that is a definite hint. So temporarily assign the circumference 2 / .0220462262, the current conversion.

Drop down to the bottom rectangle and GE easily gives you 85.63 to 85.67.  It helps to measure several times. Adding the bottom to the top and dividing by 8 gets to at least 4 digits of 2.204.  Getting 4 digits is like a one in 10,000 probability so now assign top plus bottom divided by 8 yielding 2.2046 so then one can assign the 2.20462262 current value.  Using those two equations gives top and bot much more precise than can be measured.

Now you have 85.65133552 for the bottom and 90.71847408 for the top, quite close to the final model numbers. GE results for the middle rectangle ran from 94.36 to 94.50 because the image is not too clear.  Averaging those and dividing by the now more precise bottom circumference and then doubling yielded 2.205 which was quite close to the 2.2046.

Note the sum of the midc and botc yields pretty close to 180.  So making that a fourth equation allowed the conversion to be precisely 2.20440155 and provided all the circumferences.  But as a matter of routine, the circumferences were all added together to get a total of 270.727.  The cosine of that number, now thinking degrees from the 180 equation, and multiplying by 24 gave 0.304755.  This was too good to be true for what was just discovered immediately south of the rectangles.  So the fourth equation was set to 0.3048 and the weight conversion (wtconv) was set at 2.20462262.  Changing this wtconv conversion slightly had a big impact on the metric conversion and it was easy to find the wtconv that fit the metric conversion for our current condition.  We know the 0.3048 was changed by committee down from 0.304797 in the mid-1900s so the midpoint of the Teotihuacan conversion was set at 0.304797389 and the wtconv variable adjusted to give that result.  That is what is shown in the model image above.

There really was no need for precise GE measurements under this scenario.  The system nature leads one right to the answer.  This is just a typical example of how all the systems have been discovered.

Also shown above is the 160.9344 partial circumferences where 1.609344 is the conversion for miles to kilometers.  The two perimeters in blue are related to hydrogen wavelengths.

The Teotihuacan design appears to be telling us that two systems of units is needed in order to tell the story about how the universe is created, perhaps by some force or field yet to be fully discovered.

This almost insignificant portion of Teotihuacan avenue west wall is a major stepping stone in understanding the message from the site design.  In any GE measurement or azimuth one must always be on the lookout for some multiple, particularly doubling or halving, of the conversion constant.  Try to keep in mind that 2 x 440 cps = 880 cps simply an octave higher “A” note or 440 cps/ 2 = 220 cps, an octave lower A note.  The universe it seems is made to order via frequencies.

Pyramid of the Sun Model

Keeping in mind that the restoration work could not make sharp corners with dirt, one has to project the sides out until they meet on a sharp corner.  If we then find a geometric model, then the numbers can become very precise for the model.

In the image below, the diagonal from NW to SE is 814.1036184 feet and the other is 807.02100000 (807.02 GE).  The difference is 7 feet and that would be consistent with lots of things from ancient times involving the number 7.  All is good so far.

In trying to find a possible source for picking 807.02 feet, the process of dividing by two repeatedly to see if it resembles a frequency and octaves below and above might reveal something related.  Dividing 807.02 by four revealed a number known to be close to the hyperfine frequency squared.  Then reversing the procedure and squaring the hyperfine at calculator precision, 1.420405752 becomes 2.017552500 and that multiplied by 4 becomes a six digit number of 8.070210000 with four trailing zeros, a bit unusual to say the least. Then putting it into higher precision computer software and factoring 807021 yields 9 x 89669 and the latter is a prime number.

It was known that the 10 key calculator number is rounded to the digit 2 in the tenth digit, and so the 807021 number was used to back calculate a more precise value for the hyperfine frequency and the digits came out to be 1.4204057518892 which for our most precise laboratory measurement to 11 digits at 1.4204057517667 is a direct hit.  This is not necessarily an indication that this source of data has anything to do with the derivation physically of the hyperfine source, but it certainly is an attention grabber.

However, if this discovery is going to stand as “design intent” then the other diagonal should be something somewhat similar. Entering the 814.10 (GE) and dividing by 2 yielded a number known to be close to the hyperfine to the fourth power, so the square root was taken and there was 20.17548, really close to the hyperfine squared but with a factor of 10.  Upon shifting the decimal, the hyperfine was there to 7 digits.

Here are two uses of the hyperfine to establish the potential basis for each diagonal and there was curiosity if an additional “design intent” factor could be found. Subtracting the smaller diagonal from the larger yield 7.082618602.  Then starting with 1000 / 7.082618602 and further dividing by 4 yields 35.2976793 and this is known from the previous section to yield by taking the cube root and reciprocal the constant conversion 0.30485.  There are several other results indicating design intent but too mathematical for the average reader. No matter how intelligent a design, basic facts cannot change….but attention can be drawn to them. So now we can go on a treasure hunt to see what else in the Sun Pyramid perimeter might be convincing.

The smaller angle between diagonals is exactly sqrt 500 x 4 = 89.44271908.  The azimuths in yellow are derived from the equations x – y= 89.44271908 and x+ y = 210.9143364 where the latter is use repeatedly in the Teotihuacan design.  To the physicist, these digits are the Planck Constant divided by pi.  The derivation here is from a simple relationship with A=1.718281828459.

 

Also shown is the perimeter of the level where the model is created which is 2302 feet = 4 x 575.5 which will be explained further below.  Now even the most doubting reader should be at peak curiosity as to how all this could happen from cactus smokers and baby sacrifices. J

Citadel

If all the above is true and design intent, then the Citadel should have some design plan.  Perhaps it will use a different part of hydrogen facts to reveal itself.

In the top drop down in GE of the three below in the image, the sum of the diagonals is the fourth root of 500000000 doubled 4 times (2^{^(4)} = 16) and subtracted from that total the average of the most abundant hydrogen wavelengths measured in Angstroms (a metric unit) yields the measure of the other diagonal, a number too complex for this paper.

In the middle drop down box we see the yellow perimeter is a simple function of the dimensionless ratio of proton mass to electron mass, namely 1836.1526 (also derived from 1.3125).

 

The bottom drop down shows the redundancy of having the length in a relationship with the azimuth.  The length is 1215.67 feet on the white diagonal and the most abundant hydrogen wavelengths are (1215.668 + 1215.675) /2 = 1215.671 and the azimuth is 12.15671 squared equal to 147.78 degrees NW to SE.  This same technique of capturing the investigator curiosity by having the length and azimuth of the same base number is used around the world in some pretty remote places like the Atacama Giant in South America.

Now we investigate the last entry in this adventure.  It speaks to the primary reason the Teotihuacan builders are trying to speak to us thru their incredible construction effort.

The Citadel Deep Secret

The red diagonal is to let the reader know where we are from the previous section.  The archeologists are anxious to call the areas above and below the pyramid residential areas even though there is no proof that a roof was ever there. Everyone knows it never rains nor is there any hot sun at latitude 19.685 N, so why would you need a roof? It isn’t just the absence of carbon tailing ash, but there are no supports for weight concentrating loads from roofs.

 

All the red rectangular boxes have a perimeter of 575.5 feet.  Of course, GE cannot provide that type of precision, but if the number continues over dozens of arrangements, then perhaps we should give it a little more attention.

From other blogs, the reader should realize that 575.5 is the real period of Comet 1680 which in our opinion is actually the real period of the Great Comet of 1680.  In its outer orbit near the Oort Cloud, it is too far away for our current telescopes unless we can aim the Hubble at a previously known location.

We see in the Pyramid of Sun 2302 feet = 4 x 575.5 years or two cycles of 1151 years.  The real cycle that impacts earth is double at 1151 years instead of 575.5.  In 1680 it approached the sun from the opposite side from the earth but every second cycle it passes very near the earth when the earth is on the approach and departure side of the sun.  It is traveling very fast and a cloudy day might hide it unless one is located where the gravitational effect shakes you unmercifully.

The solar system planets are all very orderly spaced for timing based on the cycle of 1151 years induced by Comet 1680 which is actually Planet X or 10 and is not a comet but a dwarf star. It orbits mostly far out towards the Oort Cloud most of the time but becomes a sungrazer comet every 575.5 years. The church paid off Encke to make his calculations on Comet 1680 to alleviate popular about its return and the late Brian Marsden bought into it for the Horizons Project in modern times. One can see below all the planets are an interval of 1151 to amazing precision. Even with the 1151 number varying by a significant percent, the sum of the integers would be the same. The square root of the sum divided by 2^⁹ x 10 = 1.3125 exactly. Note there are nine entrees counting the asteroid (Ceres) used by the Supplement to the Astronomical Almanac.  This is a very super clever operation.

 

 

The folks at the supplement indicate the calculation for the 2000 Epoch is quite complex but quite precise.  Many of the integers are prime numbers so finding a lowest common denominator is likely impossible and none was found in LCD software.

It is proposed herein that Comet 1680 is responsible for the earth axial tilt to reverse direction every 20,500 years and in that regard, perhaps a very good thing for earth folks. (see Wikipedia axis tilt)  Without Comet 1680, earth might just keep going and maybe did at one time.

Teotihuacan Water Base

There are numerous indications that the floor of the Teotihuacan layout was covered in water at least part of the year and perhaps only when the system was in operation.  Historical Google Images show the signs that current rain drainage runs down the center of the avenue somewhat like rain did when first built.  There are rock ledges in the center platforms that indicate the water level at about 18 inches in the centerline of the layout from the Pyramid of the Moon to the small dam just SW of the Pyramid of the Sun.  The cross-section curvature indicates the edges were much shallower, perhaps 6-9 inches.  This would make the water in the shape of a gigantic lens for vertical moving acoustic or electromagnetic waves.

In the image below, one can see a massive area north and west of the Pyramid of the Moon has the remains of a river system which has been totally dried out by the consumption of water in the large metropolitan area of Mexico City and surrounding smaller cities.  The yellow marked canals are all at a gentle grade to prevent erosion.  They supply the court area equally on the southwest and southeast corners of the Pyramid of the Moon. There were vast lakes to the NW of Teotihuacan even in Spaniard times.

The drainage grade in the courts are 1/6 inch per foot, a little more gradual than our current standards of ¼ inch per foot for sewer piping systems.  This would conserve water and yet provide adequate flow to maintain a desired water level and perhaps ionic balance.

The darker colored surface material in the center of the avenue and widened in the court south of the Pyramid of the Moon appears to be volcanic gravel likely brought in during construction and only currently managed to prevent weed growth.  Water from volcanic areas can be quite acidic leading to increased ionic behavior.

Avenue of Water

The avenue from the Pyramid of the Moon south to the first dam just south of the most southerly entrance to the Pyramid of the Sun appears to be purposefully graded to hold a shallow and shaped basin of water.  The short platform just south of the Pyramid of the Moon appears to be related to this section of the avenue. 

In the composite image below, note the red circumference of the platform appears to be phi squared x 100 feet (see right image) and the distance from the center of that platform to the center of the first dam is phi squared x 1000 feet. (see left composite image).  This seems to indicate some type of connection between the two measurements.

 

Google Earth providers appear to be aware of the annual maintenance progress and weeds drying out of water as their scans tend to be before the next rainy season and after the last winter drought. The tourist photographs are year around and clearly show tall grass along the edges and even standing water near some of the cross walls.  There is serious erosion from heavy rainfall just south of the last entry way to the Pyramid of the Sun on the south side.  It is not clear whether the modern needs for quick draining caused a drain to be built on the east side of the avenue or whether it was originally there. It appears that the large, deep basin first south of the Pyramid of the Sun had substantial depth in water.  There are no central platforms in this basin but several partial pyramids around the edges, particularly the west.  These have dirt tops and are not completed on the outside ends. Clearly these have some function much different from modern interpretation.

The image below shows the east and west walls in the first quad south of the Pyramid of the Sun.  In the top half the west wall has two larger pyramids with 16 steps and just north of each are stairs with 5 steps each. The east wall is exactly the same for these larger pyramids and associated steps.

In the image below, one can see a perfect mathematical model using the bottom of the steps as points on a parallelogram.  The widths on the north and south are identical at 142.04 feet in length and 286.57 degrees azimuth.  The hyperfine frequency 1.42040575 cubed x 100 makes 286.57 and similarly makes the lengths.

The only other data needed is the length of the cyan diagonal which is (2.5 x phi)^⁽⁴⁾ = 267.7383584 feet at an azimuth of (e^^(1/2) / 0.96 x 200 = 343.4835982 degrees in the NW direction.

If we add up the cyan line lengths (142.04 x 2 + 267.7383584 x 64 / 1000)^^(1/3) and take the reciprocal, we see .304795 which is one of the constant numbers discussed previously. This and other checksum relationships indicate design intent.

There can be the question of the effect of restoration.  At the base of these stairs buried deep to hold the stairs during construction are large stones, the tops are at surface grade level.  It is not likely the stairs were ever seriously damaged, and if so, they should be located properly using the inserted stones at the base.

In the bottom half of the second image above note the drain behind the standing person and also erosion in the basin where the white top people are standing. It is likely that the basin operated with water full to the top of the wall on the east side where it could run out over a wide area with no erosion. This would mean the 5 step stairs are totally in the water and the 16 step stairs on the partial pyramids are only less than half in water. Note that (16+5) / 16 = 1.3125, a consistent number for hydrogen as discussed many times herein and in other blogs.

 

The Dating Game

The reader should note just how simple it was to find this next section.  What type of people would have an interest in and thereby recognize the digits of the number 31,556,925.9747 seconds for earth to go around the sun in the year 1900 AD? Set up by the International Astronomical Union one would guess it might be a standardization effort for people doing work in the astronomy field, professionals and amateurs.  But once a standard is put into a computer program, do the users really have the number on the tip of their tongue?  For this next section to be easily deciphered, one needs that number as part of their working knowledge of earth orbital mechanics.

The latitude was divided by the longitude in the area shown below in lavender just about midway between the Sun and Citadel areas.  The digits of the number was recognized as being close to the standard year in 1900 AD of 31,556,926 seconds (shift decimal 8 digits left) and squared then times 2.  With a little checking the purple marker below was found to be a few feet northerly of an isolated small stone pillar and aligned to the left with a second small pillar. The lavender line is a constant.  Zoom the image up if it is hard to read on your screen.

Using an equation from The Fundamentals of Celestial Mechanics, the year-lines were back calculated from the 1900 AD standard still in use. Noting there was a serious platform just NE of the Year 1900 location, the center of the platform was marked in cyan as being about 25,000 BC or -25,000 for the software being used.  There was a small stone pillar SE of the center which dated 14,625 BC using the lat/long ratio system and aligns with a feature on the west wall.

From other work on Arkaim and Chaco Canyon, there appears to be an imminent warning about the near passing of Comet 1680 two “1151 year double cycles” from 2256.5 AD.  That would put it at 4558.5 AD.  Note a line of green markers have been placed to show the latitude to longitude ratio works as a constant at that angle.

There is still another isolated pillar at the far bottom and it is similarly dated at 16,350 AD, pretty far into the future.  Note the yellow rectangular “path” marked from GE which is shown at exactly 444.85 feet in the drop down box at the bottom left.  This comes from the number that is exactly the Planck Constant divided by pi but is actually a real number from the equation below.

[(120/a²)² / 2]^(1/9)  = 2.109143364 where “a” = 1.718281828459

21.09143364 squared = 444.85xxxx.  This rectangular yellow box traces the outside of the steps on the east and on the inside on the west. If we let the width of the avenue stairs be the hyperfine wavelength 2.110611402^⁽⁴⁾ x 20 and subtract that from 444.85xxxx  and then divide by 32 and multiply by 10, the fifth root is very close to 1.7185073 which plugged into the equation X^(1/x) = constant = 1.370359997 which is typically called the inverse hyperfine constant.  This is pretty far out in the weeds for most readers but demonstrates the redundant communication capability using hydrogen constants. The 1.7185073 can be converted to the Citadel latitude exactly.

It could be the Teotihuacan creators wanted to suggest the earth might become comfortably inhabitable again in 16,350 AD and could start over after perhaps a disaster in 4558.5 (this is the summer solstice when Comet 1680 passes close to earth).  Or it might be when earth settles down after an axis reversal.

But to really decipher this area of the avenue, one only needs to notice (.31556926^²) x 2 = 0.1991679 the division of the latitude by the longitude. If there was just the one hit on an isolated stone, not much could come together.  But with all the significant corners, holes, stones, etc fitting into a system, it makes it almost certain to be design intent.

In the painting image below from 1878, note there is water running down the center of the avenue which had not been restored in any fashion. The precision of the mountains indicates the painter was a serious artist trying to capture reality.  Apparently somebody was farming the Pyramid of the Moon courtyards.

The size of the trees indicates it was likely to have a foot or two of ash sufficient to hold the roots of the trees against hurricane winds. There are still very active volcanoes in the immediate vicinity continuing to pour out ash.  The finer material would be carried by winds dozens of miles as the Mount St. Helen’s eruption in Washington State in 1980.  It seems Teotihuacan could be much older than typically thought and repeatedly adopted by subsequent parties who performed the drug induced rituals and sacrificed babies.

Other photos of the early 1900s indicate serious restoration was underway by 1930s but still a long way from where it is today.  It would appear tens of thousands of tons of material was removed over the last 100 years.  However, the cost of restoration has been paid back tenfold with modern day tourist income from visitation fees.

The concept of a water floor is a real game changer in considering the purpose of the construction. If the reader is inclined, there is good reading material on Wikipedia on the scientific topic of “cavitation” and “sonoluminescence”. These processes easily lift molten metal out of a 100 ton ocean going ship propeller if the water velocity is right or if there is ultra-sonic acoustical vibration to create bubbles which have tremendous temperature when the bubble collapses.  Unfortunately, mankind has spent more time trying to avoid cavitation and not study any useful research. The folks at U. of California have recently taken an interest in sonoluminescence and are chasing the possibilities of various topics and others have done “bubble fusion”.  There is a very distinctive bluish light given off in this process.

If these processes are playing a role at Teotihuacan, how could humans that cannot even hear ultra-sonic vibration actually produce the sounds?  The answer comes from the so-called stairs, which earlier it was mentioned they were not stairs. Multiple people could gather atop the avenue and pyramid court smaller pyramids could chant across the way in unison to the stairs on the other side and the sound waves would be reflected down into the water at elevated frequencies because the sound takes a little longer to go to the next higher step. This might produce sonoluminescence in the water and perhaps produce massive blue light up into the sky unknown distances.  This would certainly get the attention of the natives who might call Teotihuacan, “where men become gods”.

This leads one to wonder if Teotihuacan is some type of huge transceiver capable of sending and receiving messages deep into space.  It would make more sense than thinking it a city where nobody in their right mind would try to live away from fresh water and animals.  Shelter made from simple plant limbs and leaves would be much easier to build and far more effective as living quarters. The American Native Indians knew they had to be ready to move when the animals and firewood thinned out.  Having a stone shelter would be crazy. It took the white man with cultivation techniques and metal saws to cut and shape trees to build permanent buildings.  But even he was smart enough to build rectangular buildings to enable the roof beams to span the narrow width and put doors and windows in the gable ends.

The Steps Can Tell Us Something

Below is a partial image from a tourist photo taken directly out from the Pyramid of the Moon steps and far enough away to not have substantial camera distortion. There are many options available as this is a favorite place for vacation pictures.

Google Earth shows something like a pyramid in a distorted appearance because it is above ground where almost nothing else is.  However, the ruler option seems to work pretty good even though the image looks distorted.

The bottom solid red line is 33.08 feet on GE and the solid green horizontal line is 43.63.  A few more digits are shown from the model to explain why the GE numbers work so well.  It is unusual for a pair of four digit numbers to produce a ratio correct to 7 digits, but that is what happened.  Below is the calculation:

          33.08 / 43.63 = .758193903 and when taken to square root, multiplied by ten and then taken to the fourth root, a significant “A-like number” results at:

          1.717799753 which compares well with 2.109143364^⁽⁴⁾ /(1.2*1.2*8) = 1.71779733 where 2.1091xxx is the Planck / pi –like number developed purely from A = E -1 and having no known relationship to the Planck number as mentioned.

When the 33.08 was halved four times (divided by 16 = 2^⁴ ) and it came out 2.0675 it was noted that the muon-electron ratio is 206.768 and this might be the beginning of a much larger mathematical communication model.  As a matter of curiosity, the redline was set at 2.067682830 x 16 to see what happened to the green line which became:

          2.06768283 x 16 / .758185365  =43.6343496 for the green line

That number then divided by 5 led to another 8.7 number which taken to the fourth root, left 1.718757577.  So now looking at what appears to be a mathematical puzzle that uses only fixed precise numbers to develop fixed and precise relationships, it was clear that some type of communication might be in intended.

The vertical dimension marked in red dashed line was thought to be far more imprecise.  With the horizontal lengths established, the vertical line could be gathered fairly accurately both from the photograph and Google Earth, the latter maybe more precise.  This line turned out to be 48.30 as a starting point.  It was quickly noted that the sum of the red dash and horizontal bottom green and this sum doubled, was very near 183.87 which is very close to 183.8683369, the muon-electron look alike.

It was decided to find the dimensionless ratio of perimeter squared divided by area.  When the area turned out to be 2108, it was noted that result was somewhat close to the 2109.143364 basic number from the horizontal section.  When the assumption that the perimeter was simply the sum of the right side and horizontal added and then doubled developed the number 16.04 which is in the neighborhood of 16.02176621, it seemed likely the left half of the perimeter was not equal to the right half.

All the data and possible relationships were put into MathCAD and the left side vertical (cyan dashed) and top horizontal (yellow), the result was then very precisely 16.02176621 for the dimensionless ratio of perimeter squared to area and the area was precisely 2109.143364.  It turned out that the one length was an inch shorter and the other 2 inches longer.  If a person attempted to measure these lengths and widths on the site, the results would vary far more because the rock edges are not that continuous.  The measurement must come from some means that averages the edge such as was done herein.

In the course of all these calculations, it was accidentally discovered that 1.71875 to the fourth power times 100 divided by the ratio of the inside horizontal on the bottom (red dashed) and the outside bottom (green) equal to 0.758xxx yielded 1151.00033845 which is double the Comet 1680 cycle and the number that seems to organize the planets in our solar system (mentioned above).

Here is what the puzzle model from the steps seems to be saying from the various fixed numbers:

1.     206.768283 (muon-electron mass ratio) that there is some use of the natural interstellar muon flux to build some type of electrostatic charge, further emphasized by the appearance of 16.02176621 as pointing towards charge.

2.    183.8683369 indicating that electrons and neutrons play some role in the operation.

3.    1151.000338 points directly at Comet 1680 as potentially the target for a maser-like pulse initiating some reaction in the Comet body or tail that might blow off part of the Comet mass and alter the trajectory for the next pass.

4.    Multiple use of 2109.143364 (Planck / pi like number) that potentially signifies the high energy pulse that might be developed, perhaps only as the Comet tail goes by in 2256 and subsequent 1151 cycles.  It is thought herein and on other blogs that Comet 1680 also reverses the earth axis tilt every 20,000 years as described in the article “axis tilt” in Wikipedia.  This is not terribly different from the conclusion in the blog on Tikal-geometry.

It is not suggested that measurements alone could solve this puzzle.  It had to be done with mathematical modeling and the redundancy is stunningly convincing. The people responsible for the design were very advanced in their technologies….or else very well connected to some creational force or field.

Jim Branson

Retired Professional Engineering Manager

Knowhow at ctcweb dot net