Chichen-itza-geometry

Column Spacing

It is obvious that the area known as One Thousand Columns at Chichen-Itza is very orderly and the spacing is definitely some specific value.  If the units of measure by the builders were based on alligator tails or hog’s hooves, then it is not likely some common number in our units of feet, inches and meters should happen.  A precise survey of the area has not been found to my knowledge.  But Google Earth is available on historical scans taken fairly directly overhead.

For short distances, Google Earth is hard to maintain “repeatable precision”.  In measuring the spacing on the columns in the area of One Thousand Columns, one is not certain whether the dark spot is the column or the shadow. For the length there are clear marks for 48 spaces, or 49 columns.  The most northerly four columns are actually setting atop the Temple of the Warrior Courtyard.  This 48 space interval distance was calculated to be 86,400 / 10000= 8.64 feet where 86,400 are the number of seconds in a day.  If the builders were trying to draw attention to the “time dimension” this would be a good way to do it.

In the other direction there are only a total of 3 spaces or 4 column rows.  Therefore, another methodology had to be developed to gain more accuracy by the law of averages.  In the image below one gets the idea from a partial graphic example.  For the numbers developed herein, the entire body of columns was measured in this manner several times and then an average taken.  It was clear that the number 25.4 feet was the sum of 3 spaces wide and 8.64 feet on average between columns lengthwise.  This does not mean that any given pair of columns might not be some other variable. However, it appears these intervals are repeated quite precisely many times.  The message of the builders could be “we are using feet, but the 2.54 conveys the conversion from feet to inches to metrics”.

The message here could be to think of the dimension of time (86,400 seconds) and the dimension of measurement in at least the three primary dimensions (25.4 conversions) of the potential 11 dimensions of string theory.  The bulk of the builders likely had no idea why they were building in the manner that they did.

Normally, the dimensionless conjugate ratio is checked to see if it indicates design intent.  In so doing it was clear that the total widths of 49 x 25.4 = 1244.6 added to the 414.72 (48 x 8.64) for a total of 1659.32 were nearly double the difference of 1244.6 – 414.72 = 829.88 x 2 = 1659.76.  Upon subtracting the 829.88 from 1659.32 = 829.44 and that number divided by 0.04 and taken to the 4^th root is exactly 12.  This is a further indication of design intent to use modern measuring systems.

Still another dimensionless conjugate ratio is simply the use of spacing, or the following:

          [(8.64+8.46666)/(8.64-8.466666) /10]^^(1/2) = 3.141533

This same relationship was set up in Mathcad so see what solution gave exactly pi squared times 10.  The values were changed almost insignificantly to 8.639996668 and 8.466669915 making the overall length shorter by .002 inch and the width wider by 0.0001 inch.  This information is expanded in the Appendix A.

Finally, there is the group approach using the entire area of the columns in ratio with the columns in front of the Temple of the Warriors.  Here is a potential communication.

          Half the columns of 64 in front of the Temple of the Warriors = 32

          The naming of the columns as One Thousand Columns

          The area of the north/south columns = 48 x 8.64 x 3 x 8.4666666 (25.4)

32 x 1000 / 10533.888 = 3.03781 where the most abundant helium wavelength is 3.03780

There are another set of columns running nearly perpendicular to the rows above.  The angle the two groups make with each other is 92.41 degrees.  That number times 10 and divided by 360 degrees gives a number the square of 1.602168 which is remarkably close to the basic charge number of 1.602176.  Taking the square of 92.41 yields a number very close to Pi x e x 1000.  Using the pi and e number in reverse gave an even closer number to the charge number.

Later in the report the intended design height of the columns is established at 5 x 1.602176622 feet.  When converting that to meters, a strange number developed, namely 2.44171717.  Most people know that is an indication of the presence of number 99, so multiplying those together gave a whole number of 24,173 and that number factors into two prime numbers of 1051 and 23.  Obviously, going in the reverse direction gives the basic charge unit to all the digits in use today.

          The formula is:   (1051 x 23) / (99 x .3048) x 2 = 1,602.176622

This sets the tone for a major communication system from the leadership of the builders to our modern civilization if we only take some time to study it technically.  There will likely be readers nearing cardiac arrest because the underlying meaning is a radical departure from the standard model for the Mayan Civilization.  The analysis to follow shows that a very similar technology was used at Chichen-Itza as was used at Tikal.

El Castillo

The image below is from Google Earth Ground Level showing the westerly side.  It is much more prepared than other sides and cleared of debris and loose rocks.  Several lengths were checked on Google Earth ruler and the basic lengths to two decimals were placed in a spreadsheet.  The bottom measurement was 183.8xxx and the top was 54.1xxx.  The sum of the top and base was 237.9 and that divided by 20 (ten lines on each similar side) was 11.895 and from other work it was known that taking the square root, dividing by 2 would lead to a 1.724 type number and taking the one-third power of that and dividing by 4 would lead to a number similar to the light speed at 2.99792458 and in this case is 2.9979479 (five digits is enough to arouse curiosity in some folks).  It was then when the modern speed of light above was substituted and reversing the method that the 1189.44443 was found on a 10 digit calculator.  That being multiplied by 9 lead to 1070.5 and that doubled gave 2141, a prime number.  Then again reversing the process using the 2141 as gospel, the model light speed was 2.997924586 with calculator precision.   Checked to 100 digits in Mathcad it appears to be an irrational number.

When the spreadsheet sum of all ten lines was so close to 1189.444444 and the middle line was 118.94, it became clear that the design intended to reveal this mathematical model and used a highly identifiable number system to get there. This initiated a very intriguing and thorough investigation.

Analysis of the El Castillo Pyramid and the Temple of the Warriors to the NW shows further sign of Mayan technologies not known to us before this analysis.  The first hint at precise construction to the layman is the match of the “top corners along the left and right”.  That measurement and construction is far more difficult than most readers will appreciate.  Similarly, further proof is the matching of the “notch vee-shaped corners” .  These again are not easy construction events even for our modern measuring devices and communication with detail drawings.  It is not likely we could duplicate this design or even if we could measure it adequately. The pyramid model is truly astounding and proves high technology beyond any doubt.  Remember, not everybody involved necessarily knew the design intention.

The image below summarizes the layout design for the westerly side of the pyramid. One must consider the Mayan design people must have thought these considerations and many others were awfully important to pass on to future generations if it was necessary to build such a huge pyramid.  Modern videos show tourists climbing all over the pyramid like ants on honey.  It must be working.

The speed of light used by the scientific community around the world varied considerably before it was agreed upon by committee to be a standard 299,792,458 meters per second in the 1900s.  Until this revealing by Mayan experts pointed out a precise mathematical source, we have never found one.  Many people have made computer programs searching for a simple derivation of the light speed, until now it was unfound.  How they told us is truly amazing. 

Also in the image above is the neutron / electron mass ratio developed from a simple mathematical relationship involving only1.3125 which is the ratio of the two quantum numbers in the hydrogen Lyman Series as well as other uses.  ( 1- 1/8^⁽²⁾ ) /(1-1/2^⁽²⁾) = 1.3125.  This 183.868 length in feet is the base of the westerly side of the El Castillo Pyramid at Chichen-Itza.  This 1.3125 number develops also from the conjugate ratio below.

At the bottom right of the image above one can see the derivation for the top length using 2141 / 9 less the base length which is 1/10^th the neutron/electron mass ratio.  The intervals are then the difference divided by 9 for total of 10 lengths and 9 shelves.  The spreadsheet below shows the individual lengths and a plot of the dimensionless ratio of the longer length divided by the shorter one immediately above it.

In the image below the lengths of the bases at each level from top to bottom are calculated using the interval of 14.4275xx.  The base is the neutron/electron ratio divided by 10 at 183.8683369 feet and the top is the 2141/9 less the base length at 54.020552 feet.  The fact that this model sums to 21410/9/2=1189.44444 feet is further proof of the design intent to teach us about the light speed relationship.  Perhaps one needs to know the light speed very precisely to enter something like a worm hole?

 

In the bottom portion of the image above are two cyan lines between the centers of the raised stone pads on each side of the stairs.  The centers were found by thin red lines drawn corner to corner.  Thinking there might be camera distortion, there wasn’t much hope of anything significant.  However, the tricky folks that designed this “memo” used a logarithmic relationship that smooths over the precision problems.  Just above the image is the conjugate ratio calculation using the MinErr Function of Mathcad.  The original data fits to eight digits.  Thinking this was unbelievable, several repeats were done and all checked out with precision.

The section thru El Castillo shows how the model links to Planet 1680 (combination of Comet 1680 and Planet X…see www.tikal-geometry.blogspot.com) and even suggests a more precise double period of 1151.024585 years.  The overall height of the model is pi x 25 and that divided by 9 gives the height of each layer.  Dividing by 1151 yielded such a close number to the square root of Natural Log E, that the reverse calculation was used to give perhaps a more precise period given above.

 

This was checked out in the spreadsheet of Epoch 2000 astronomy data and a comparison is given below.  In the top spreadsheet 1151 is used for the Planet 1680 period while in the lower the Chichen-Itza El Castillo period of 1151.024585 yields even closer integers for the inner planets.

This provides incentive to totally measure the pyramid and start the massive extraction of data created by the builders.

Temple of the Warriors

If there is truly Mayan Technologies in El Castillo, then it must show up in other locations as it did at Tikal.  One look at the “Thousand Columns” area where the Temple of the Warrior is also located indicates some serious design intent and perhaps a message the size of the Library of Congress.  People have tried to argue that the columns once supported an elaborate roof, but the extreme variation in column size and placements indicates that is not the case.  The columns are a gigantic database awaiting complete discovery.  Here it is hoped to pique some technical interest.

The image below is of the 64 columns immediately west of the Temple of the Warriors and also includes the top of the Temple.  It happened that this particular scan of the area was very nearly directly overhead and there are nearly no shadows.  Google Earth can have a distortion problem with heights if the scan is not directly above and ground measurements are the only reliable lengths.  On my 120 acre homestead in Idaho on the edge of the Sawtooth Mountains, the corners have been surveyed enumerable times for subdivisions and there are multiple corner metal stakes all nearly upon each other.  Google Earth can find the distances quite precisely, usually within inches if one is careful.  It takes some skills to make it be as precise as desired. One needs practice on hillsides but level ground is much easier to get “good enough” readings. It is reasonable to try and get 5 digits of any number to suggest it is right and then there needs to be some type of confirmation in subsequent use of the number.

The image below shows the center to center distance along the westerly side as 2.110611402^⁽²⁾ x 10 meters = 44.5468049 and Google Earth could find that to two decimals.  The width is 1.42040575^⁽²⁾ /10 x length = 2.99792458 squared. (because hydrogen wavelength x hydrogen frequency leaves light  speed).  This makes the circumference 107.0687 meters very precisely.  That differs from 2141 / 20 by less than an inch. Subsequent analysis demonstrated that the 107.0687 was the actual design intent for the perimeter.

 

This analysis can get very complex in a hurry and so only a brief explanation will be made for now.  It is anticipated future efforts will provide the full background information.

Note in the columns atop the Temple marked in various colors there are patterns of six, four and ten.  In ACAD, one can group these Temple patterns and then copy and move the copy over the 64 cyan columns on the court in cyan.  One can see the yellow pattern of six fits quite well atop the six cyan columns on the upper end.  The red dashed group of four also fits well in that area.  The green were flipped to a mirror image and fit to the NW corner of the cyan columns.  The circles were purposely drawn larger to allow the column to show thru where it can at higher magnifications.  It is the center to center distances that matter, not the diameters.  The diameters do vary substantially and also whether the stones are rectangular, square or round.  Dozens of images have been sourced and checked.

The yellow pattern indicates that the dimensionless ratio of perimeter squared divided by area (2.6018392^⁽²⁾ / .3856026 =17.55581322.  This number taken to the square root, divided by (8 x 1.71828) = 0.304807811, the conversion of metric to English used in the Mayan model at Tikal.  This makes an important link between Tikal and Chichen-Itza.  The message seems to be “dimensional analysis is very important towards understanding our universe”.  The Maya have gone to a lot of trouble to try and communicate ahead in time to people who can understand their methodology. 

Fundamentals from Speed of Light Model

It would make sense that if the speed of light uses something divided by 9, that other constants may use 9 as a key basis.  The formula below was initially developed in analysis of the King Chamber in the Pyramid of Giza but shows up in Mayan structures too.  Here nine is used as the exponent to find Planck / pi.

          [(120/a²)² / 2]^(1/9)  = 2.109143364…..exactly the 2005 Codata to 10 digits

The original equation developed from the relationship below in a Mathcad model.

          [(2.109143364)⁴ / 12]²   = 50/(2.109143364 * 1.718281828459^ ⁴)

         1500 / (LN(1.718281828 * 5)^^(1/2)) = 911.75315105

Using the last number as a Rydberg substitute, all the hydrogen Lyman Series is calculated to a precision beyond what the charts provide.  Instead of making one Rydberg number fit all, the Rydberg constant needs to be derived mathematically for each subsequent element, in this case Helium.  The helium number uses the Planck /pi mathematical number taken to the fourth power divided into the hydrogen number.

 

At the bottom of the calculated hydrogen column is the hydrogen hyperfine constant of 1.42040575194904 which uses another “divide by nine” with the 8/90,000.  This seems to be what the Mayan strategy seems to pursue.

Data Processing Center

With my serious programming career, I immediately saw a database in the 64 columns at the base of the Temple of the Warriors and Chichen-itza.  Many of the younger people these days may not even know what a punch card is, but it was all the rage in the 1960s.  In my early days at the University of Idaho, the computer class consisted of writing a program in Fortran, getting it keypunched and then get a notice back you had made an error…and nobody told you where the error was.

Below is an image of a typical computer input/output punch card from Wikipedia.  Each hole allowed light to pass thru and a sensor on the backside registered a 1 if the light went thru and a zero if it did not.  The hole had to be fairly large because the sensors were not all that reliable at high speed if the hole was smaller.  An enlarged image of a hole was constructed at the bottom right if one had the subdivisions of the columns of Chichen-Itza.

But the enormous part of the database is suggested by the column patterns atop the Temple of the Warriors, mentioned above.  Here is an example sample calculation:

          Total permutations = 64 factorial or 1.268869 x 10^⁽⁸⁹⁾

          Taking six at a time combinations = 58 factorial = 2.350561 x 10^⁽⁷⁸⁾

          This means there would be approximate 5.398154497 x 10^⁽¹⁰⁾

          Combinations and that number divided by pi gives 1.718285943 x 10^⁽¹⁰⁾

          Strangely, that “a-like number” yields the number 1.215668179, the most abundant wavelength of hydrogen shown in detail elsewhere.  This is likely not the heart of the message but an important one.  When we say there could be a “Library of Congress” of information that might be an understatement.

Column Stone Thickness (heights)

At first it was thought there would be too much camera distortion to measure heights of the individual stones.  The heights of each block in the column were marked in ACAD and then the perpendicular line drawn from midpoint perpendicular to the next line. Then in the spreadsheet, one height was divided by the previous height to yield a dimensionless ratio.  One can see that the use of dimensionless ratios takes all the fight out of camera distortion since any distortion at the same location tends to cancel out.

When put in a spreadsheet and graphed, it was clear the dimensionless heights were very definitely designed and not just random blocks.  In the bottom right corner, the first and last and adjacent stones are all connected thru the middle stone, making it highly unlikely to be an accident.  The lengths of those vertical lines were totally ignored until they began to demonstrate design intent in the spreadsheet array.

Column Height Arrays

Tourists walking around these columns are likely to think the builders found a stone, smoothed it on both sides and stacked it up.  However, this section will show that idea to be totally naïve.  The heights of these stones in the columns are supremely designed in a super complex manner.

The image below shows how the heights of the two columns, the seven pieces on the NW end and the 9 piece near right center front.  The seven pieces has about  3 foot diameter stones and the 9 piece just less than 2 foot diameter, both are made from round stones. Highlighted in green and yellow there is an array for each column.  The totals for each spreadsheet column and row are in red letters.  The tan highlight is the dimensionless ratios for each stone column.

In this kind of event, it is nice to see some order to the sums like the second spreadsheet column at 11.7777767.  From the light speed calculation it appears the builders like this type of number since it is eye-catching.  However, in the middle left is a mindboggling detail.  The entire sum of the seven stones column is divided by the sum of the nine stones column to get 0.267777829 and that is an eight digit fit to 241 /9 just above it. The reader should remember the light speed formula used the prime number of 2141 and 241 is also a prime number. There seems to be some type of message beyond just the curious numbers.  There are too many sums and ratios that just could not happen randomly.

Below are a couple plots of the data within the red triangle above.  Each bottom portion is copied into a new column, and then subsequent columns from the triangle are added to the new column.  The top plot is simply this data and it is color coded to show repeating values.  In the lower second plot, the natural log of 2^^(1/12) is divided by the natural log of the column K values, color coded to show their relationship. The reason for the second plot is to show that there is some type of relationship to the twelfth root of 2, signifying that there is some type of acoustical relationship.  One can see these are a long way from random.  These plots look like oscilloscope plots in the medical arena and suggest there may be some type of connectivity between Chichen-Itza and human input/output brainwave activity.

The Column Height Model

There is no explanation for how three heights were exactly the same to six digits at 0.188688 since at the time of measuring it was thought that the effort was a waste of time and would be just random numbers.  It was then a further mystery as to when the assumed total height of 1.602176622 x 5 x 12 inches was used to develop a scale factor from ACAD to the real world that those three heights were 11.8944xxxxx.  Remembering the light speed formula uses 11.89444444, the scale factor was changed to make these values exact in the spreadsheet below.  That, however, added 0.01 inch to the total height which was likely unmeasurable anyway.

Since the builders had made their point, formulae were developed for each of the other six heights and those formulae and their key numbers are underlined in red.  This method does not allow an infinite number of trials and if the fit was to at least 4 digits, the formula was used at least temporarily in the model.

These are all numbers used in the Tikal-geometry.blogspot.com file.  The first two tried made the total worse by a slight amount.  Finally, all were found except the second one from the top.  The total of those eight divided by 51.2 (2^⁽⁹⁾ = 512 /10 doubling frequencies) gave 1.71828443, marked in yellow.  This seemed to provide support that what was developed was intentional.  The difference changed the 8.1628 number to an 8.1543 number but it made the total more exactly 96.1305 inches.  When the 440/256 type number was found and substituted, the model seemed to come together with amazing precision.  The column marked “difference model from original” shows the differences so small as to be unmeasurable even at the site.  Nothing was done with this model as all the prior spreadsheet analysis was done with original data prior to this discovery.  It is included here only to inform those with mathematical skills a chance for further analysis.

However, there does seem to be a message that the top stone is involved with muons and electrons as it would be with the falling muons from interstellar dust colliding with the upper atmosphere.  There is an estimation that some 10,000 muons fall upon a square meter area on earth each minute. Perhaps this muon ionic flux provides some opportunity for ionic acoustics perhaps explaining why animals can sense earthquakes before the ground waves arrive.

The second stone may relate to acoustics with middle C=440 cps.  The three related to the light speed formula could be referencing piezoelectric effects.  The Planck over pi could be referencing something about the frequencies of the piezoelectric effects.  The third to last (bottom) uses the light speed and the second to last relates to the hydrogen hyperfine frequency 1.420405752.  The last one relates to the fundamental constant of our universe, E – 1 = 1.718281828.

Making and Shaping the Column Stones

Apparently the Yucatan Peninsula doesn’t have all that many earthquakes centered there, but they freely admit to feeling vibration of Cuba and other offshore areas such that high rise buildings sway a little bit.  These “Thousand Columns” could be very sensitive to earthquake vibration.  However, as many as there are and as many are still standing for maybe 1500 years, it seems they were constructed to withstand at least minor earthquakes.

Stacked stones that are machined concave so that the outer edge is bearing the weight are much more stable than convex machining with the bearing point inside the outer circumference.  This is only mentioned because the full purpose of the columns is unknown and may have something significantly to do with electrostatic charges.  Concave joints could be filled with powder to form an insulation barrier or could siphon inside rain to provide better conductivity.  The diagram below shows a typical way hard rock could be used to machine the softer limestone to a precise concave shape.  There may be better ways that could have been used.

The Ball Court Model

It would take a lot of imagination to think a smart person would spend so much energy building the Ball Court when there are no bleachers and lots of hard rocks to bump a head into.  It seems much more likely the structure was meant for something entirely different and subsequent tribes did in fact play ball there.  It is about like Native American Indians playing badminton on the NASA space launch facility.

Below is a model connecting the three major structures with great precision.  The Ruler Tool, path function, is again used to find a theoretical center of the two pyramids.  The center of the ball court is taken as the midpoint between hoops.  Marked in yellow are the distances and azimuths.  Google Earth does not do well when things are far above ground so this triangle with distances, azimuths and angles exists and could have been part of the initial plan.  There is no way to verify it but it does make sense with the multiple use of 1000/pi, natural log base e and other similar relationships.

However, the red line from the center of the temple at the Ball Court to center of the steps at the Temple of the Warriors is 929.558787 feet (earth sun distance in miles) and below we will see the angle on the SE corner is this distance / 10 in degrees.

The image below is looking straight down at the hoop area of the Ball Court.  There is a very significant hit on a conjugate ratio consisting of the court length and distance from the north to the hoop line.  The sum of the lengths divided by the difference leads to 1.312465 very close to 1.3125 used in the hydrogen most abundant wavelengths and used extensively by the Mayans at Tikal.

The yellow circle below attempts to run thru the hole in the hoops from the center.  In the spreadsheet there are three different model assumptions that all lead to with 1.5 inch of each other.  One uses the light speed alone, the second uses the mass of the electron and the days in the year 365.256 and the third uses the universal gravitational constant 1.720209895.  This seems to be a message indicating the Ball Court represents three fields namely Time, charge and gravitation.

The use of the number 400 and natural log base “e” seems to be used repeatedly along with 1000/ pi.  The GE box bottom left above has the model numbers pasted in.  However, the GE numbers fit the first 4 digits exactly.

This thing looks like a hologram projector to me and with all the use of 1.6021766 (basic charge number) it seems that is a key element of the message to us. The image below further enforces that idea with the active charge area above the bottom ledge using the charge number in several dimensions. The height of the bottom ledge in green is the conversion 1.609344 to the fourth power in feet.  The temple top right is the one mentioned earlier 929.558787 feet (earth to sun miles) to the base of the steps at the Temple of the Warrior.

The temple top right in the image above is super important.  Note it has a couple columns on the front edge clearly graphically linking it with the columns at the Temple of the Warrior.  There is a distance from the center of this temple to the back side of the Temple of the Warrior that is 1059.46 feet which is the twelfth root of 2 times 1000.  This would indicate that the means of getting the function of the columns to the Ball Court could be acoustical in nature, perhaps ionic acoustics.

While the Tikal site appears to be a huge machine capable of perhaps acting on Planet 1680, Chichen-Itza appears to be more of a human interface, in particular relating to the changing earth axial tilt angle.  Modern man has not lived thru an earth axial tilt reversal, but anything capable of reversing the earth axial tilt is certainly likely to trigger a lot of very unfriendly earthquakes, tsunamis, super volcanoes and maybe disasters we haven’t thought of.  Archeologists like to argue, “If there were ancient intelligence, where is the sign of it?”  Perhaps they are living all over the place in the mountains of Tibet.  There is nothing more stupid than building high rise buildings along the ocean front.

The temples at the north and south end are each sitting atop a walled area and that same height carries thru the entire Ball Court at just over six feet or above most people’s head.

The image below is the extreme diagonals of the entire area.  The sum of the lengths is 400 x e =1087.312731 and this number is the speed of sound at very near zero which is our standard for acoustics.  The longer diagonal is 548.58 feet and that subtracted from the sum is 538.732731.  Google Earth just gives 538.73 but the sum using only that precision and dividing by 400 yields 2.718275.  When 6 digits of a number appear, it is very likely the full precision was expected to be communicated.  Further, when using that precision in other measurements it becomes super precise, then it is extremely likely an indication of design intent.  What kind of technologies does it take to produce such a design?  It turns out this was just a training mission for the last image.

The image below has several redundant features indicating design intent and an intention to communicate something very important.

In the center starting from the yellow GE marker at the hoop center, the distance to the north in dark blue is phi squared x 100 and is also the same in the light blue to the south.  The azimuth of the dark blue is 16.18 and the light blue 16.18 + 180 degrees.

The foundation diagonals are also a similar communicative model.  From the NE corner to the SW corner is 4045.08 inches, or phi x 2500.  The azimuth is (1/.3048)^⁽³⁾ = 35.31466672 degrees from north.

From the NW corner to the SE corner is 100 /.3048 = 328.0839895 feet and the angle with the other diagonal is this same number taken to the square root and doubled =36.2261778 degrees. This makes the azimuth of this line almost due north but 36.2261778 - 35.31466672 = 0.91151108 degrees.  This number too is related to the primary hydrogen wavelength of 1.215668.

The temple on the bottom right is cocked slightly so that any radiation or acoustics are going to bounce back and forth between the walls and progress to the north is a series of echoes. The purpose of the hoops may be to focus these echoes using thousands of human voices below the 6.7 foot bottom ledge.  Since there is nothing detectable in the current state, there must be some way to influence whatever waves are running around the site.

The image below shows a yellow line reaching from the far end of the east-west column group to a curved wall at the Ball Court.  The three point circle option in ACAD was used to match this curve with the center being at the far end.  The distance is 500 x e = 1359.14 feet and the variation in azimuth is very near 2.4 degrees.  The each axis tilt shifts from 24.5 to 22.1 on average of 2.4 degrees.  It is not always that precise but quite close.

In white one can see lines that actually are at azimuth of 22.1 and 24.5 degrees.

In the image below one can see a creative use of 160217.6622 to obtain the azimuth from the temple west of the Temple of the Warriors to the Temple atop the Ball Court.  Again the use of the ratio 8800 / 9 gives the distance.

This is just a small portion of the overall communication that can be easily extracted from dimensionless ratios and outright distances and azimuths.  The reader must decide if all of this can be some type of accident.

Jim Branson, Retired Professional Engineering Manager

Knowhow at ctcweb dot net

Appendix A (for the mathematical specialists)

Back in the beginning of this effort, there was information developed suggesting that the One Thousand Columns might be indicating something really important relating to the spacing of the column relative to the digits of pi.

The dimensionless conjugate equation for developing the relationship with pi repeated below:

          [(8.64+8.46666)/(8.64-8.466666) /10]^^(1/2) = 3.141533

It was pointed out that this same relationship was set up in Mathcad so see what solution gave exactly pi squared times 10.  The resulting values were changed almost insignificantly to 8.639996668 and 8.466669915 making the overall length shorter by .002 inch and the overall width wider by 0.0001 inch.  These tiny values are not measureable.

Increasing the precision in Mathcad to over 20 digits, the reciprocal of each difference was taken to a second level dimensionless conjugate ratio to see if there was anything other than random numbers in the subsequent ratios.

In the image below, the first section simply calculates the values for the model numbers needed to make the 10 pi squared equation to be exact.  The equation is highlighted in cyan.  The subsequent reciprocals of the differences, also in cyan, show two numbers 301695.xxx and 148104.xxxx.  The questions then are these just random numbers or do they convey some other type of communication.

What followed is mindboggling and addresses the organization of our solar system.  The number 1.49991167xxxx is the key number to be discussed further on.  However, the green highlights indicate the numbers have serious communication to two more levels of reciprocal of differences.  The pink ratio from the atomic mass unit will be discussed further below.

In the spreadsheet data below is the 2000 epoch data in cyan and then ratio made with earth equal to exactly 1.000xxx in the column to the right. (earth underlined in black).  The ratio of the natural log of the period divided by the natural log of the dimensionless distance gives a series of numbers for the plot data all beginning with 1.499xxxx.  The plot in the white block is entered into ACAD in the image below the spreadsheet. In lavender are groups of number similar to 1.718308xxxx;  all from 2000 epoch data.

The plot of the data is shown in white and that is magnified and enhanced in the ACAD image below.

One can see these ratios are far from random and not all that comparable to the 3/2 predicted by Newton and others.  At the top left one can see that the solid planets including Ceres from the asteroid belt are all in a straight line.  At the right side one can see that the gaseous planets are all in a red line except for Saturn.  The red line covers precisely three planets namely Jupiter, Uranus and Neptune which should not happen with random numbers.  The extremely important event is the intersection of the line for solid planets with the line for the gas planets.  It meets at 1.499911672 (not with that precision) which is the number from the Chichen One Thousand Column model.

So what could cause Saturn (yellow) to be out of line with the other three large gas planets?  The answer is stunning.  In the image below we see the Hplanet plot for June 20, 1105 AD showing just how close (graphically) Planet 1680 may have come to Saturn in that most recent cycle.

Since it is speculated here that the force organizing the planets is perhaps very weak (magnetic based?) and maybe takes centuries to fully materialize, Planet 1680 perhaps knocked Saturn out of its normal period and distance and even in 2000 nie hundred years later it had not returned to where it should have been.  We anxiously await JPL to properly identify Planet X, as they call it.

One must remember no scale model can be made on paper for the planets and Planet 1680 and that this is simply a graphic to fulfill the communication.  If the planet passed near to earth, which it had to do, it could easily have caused some of the rock art covered in www.thunderbolts.info discussion.  It also could have been the bright event in 46 BC that caused the three wise man story in the Bible.  In 1680 it was called The Great Comet of 1680 and it was not anywhere near the earth, approaching from the far side of the sun at the winter solstice.  Just think what it would look like passing within a million miles of earth coming and going.  The tail would have been spectacular and very fearful.  The good news is that it would be traveling so fast that the appearance would have been very short-lived and perhaps totally missed if it came on cloudy days or at wee hours of the morning.  The tail in 1680 was clearly visible for months.  In 1105 it would only have been visible for perhaps days and then mostly during the daytime where the bright sunlight would have lessened the frightfulness.

Back to the pink highlights in the Mathcad model image far above.  During the discovery process in the 2000 epoch data, the relationship in pink fell out and was so close to the frequency 1.71875  (440cps / 2^⁽⁸⁾ ) that further investigation was imperative.

Since the root frequency of 1.718308xxxx was found so frequently in the 2000 epoch data marked in lavender boxes, the reciprocal of this difference with a=1.718281828459 was developed and found to be related to the neutron/electron mass number which actually is a function of the quantum mass number ratio of 1.3125 and nothing to do with “measured masses”.  These numbers should not go in a circle with cross-checking if they were simply random numbers.  The near pi 3.141533 number can be easily converted to 1.718308xxxx.

There simply has to be some underlying mathematical relationship going on. Perhaps we will have to await somebody like Einstein who finally proves the Swiss teacher Balmer was right, he just didn’t know why until quantum mechanics was more fully developed.  Balmer got a hydrogen series named after him.  Perhaps I will get a two-hole outhouse named after me.