Archive for the ‘archaeology’ Category

Decoding Carl Munck

January 3, 2013

Decoding Carl Munck

by Arto Heino (c) 1994-2013

      When I first viewed the work and videos of Mr Munck back in to early 1990’s, I thought wow this guy has stumbled on to something, I better check it out. After my initial studies I was not convinced at his methods, so I persevered and allowed time to adjust to his methods so I could begin to find the code just as he had.

      At first I was excited and found a few interesting sites I could apply this work on, that is when I decided to write a spread sheet so I could verify the Latitude , Longitude and Geomatra number with accuracy, just as Carl had done. Hidden in his mathematical multipliers was his secret to making you see what he wanted you to see, the numeric decimals he attached and multiplied was nothing but a tricky way to make it look as if harmonics and numeric codes were present, by reverse coding. Here is his method exposed and laid bare for all to see. I hope you can appreciate and understand that nobody in the last 20 years has questioned his means and methods, the main reason I would say is he did a fine job of cryptography, the other reason would be that he filled a wishful thought about the abilities of ancient man, that of his greater knowledge, something which I am still in concordance with, except this knowledge is not based on anything hidden and coded, only on deeper perceptions on what is already given and in front of us.

I will first find a location that has some ancient importance as Carl Munck had decoded and a version that is the exact position, also my back yard as a major grid point on the Earth just to show this fallacy. Each I will give special properties just as Carl did.

Panther Mound

The Panther Mound is in the Everglades of Florida, and by Carl it has a close relationship to The Great Sphinx. The Panther Mound can only be recognised from the air.

Geocode for Panther Mound: Latitude: 25.573164 – Longitude: -80.7589528

Here are Carl P. Muncks latitude/longitude coordinates for the Panther Mound:

80 deg 45 min 46.886 sec W.Greenwich, Longitude ,

this is a close match to the real location

80 deg 45 min 32.23008 sec W.Greenwich, Longitude,

this is the current real location

The difference of 14.65592 Seconds, this equates to 452.668607488 meters(at equator)

25 deg 34 min 3.5 sec North, Latitude,

this is also a close match

25 deg 34 min 23.3904 sec North, Latitude,

this is the current real location

The difference of 19.8904 seconds, this equates to 614.34285056 meters(at equator). This is at least 1/2 of a kilometer from Carl Munck;s calculated position. So something must be wrong with his numbers, his data, his calculations or all of the above.

Now this part is to makes it look like a genuine discovery, but this subject has been talked about and debated for more than a century, ever since they first were deciding where to put the current meridian, the current prime meridian at based at the Royal Observatory, Greenwich which was established by Sir George Airy in 1851, then again in1884 in the conference of the Meridian in Washington , one of the proposals was the Pyramid of Giza. The need was originally for navigation in the open seas. The ancient Earth prime meridian (as said by Munck) passes through the center of The Great Pyramid, we add 31 deg 08 min 0.8 sec onto the W.Greenwich longitude, to adjust to the ancient longitude, personally I find this a great location for a meridian, as its location and culture has endured thousands of years, Greenwich will be just a forgotten memory when the pyramids will still be standing, reminding us of their builders.

80 deg 45 min 46.886 sec W.Greenwich

+ 31 deg 08 min 0.8 sec Variance in prime meridians

= 111 deg 53 min 47.686 sec W.Giza

80 deg 45 min 32.23008 sec W.Greenwich, Longitude, (real)

+ 31 deg 08 min 0.8 sec Variance in prime meridians

= 111 deg 53 min 33.03008 sec W. Giza (real)

Now to figure out the Grid Longitude and the Grid Latitude of the Panther Mound. Muncks general rule is to multiply the site’s centered (for both longitude and latitude) number of degrees X number of minutes X number of seconds.

Grid Longitude

Grid Longitude 111 deg x 53 min x 47.686 sec = 280536.738

Grid Longitude 111 deg x 53 min x 33.03008 sec = 194315.96064 ( Real)

Muncks reverse PI tables told him that this adjusted number was VERY close to the multiplied product of a Gematrian number ‘times’ (PI to the 4th power).

The Gematrian number = 2880

The derived number = 2805.36738

The Actual value = 1943.1596064

An Invented Geomatra Number = 6267

So he used the derived number as a base with the PI table, this is the part that makes it look like a discovery.

2880 x (PI 4th power) = 280538.1822 W.Giza

= 111 deg x 53 min x 47.68624548 sec W.Giza

So we will create our own Geomatra number that makes it look real

6267 x (PI 3rd Power) = 194316.335955438973

= 111 deg x 53 min x33.0301437966 sec W.Giza (created)

Grid Latitude

Grid Latitude 25 deg x 34 min x 3.5 sec = 2975

Grid Latitude 25 deg x 34 min x 23.3904 sec = 19881.84 (real)

Muncks PI table showed this number as being close to the multiplied product of another Gematrian number ‘times’ the Cube of Pi.

96 x (PI 3rd power) = 2976.602561 North

= 25 deg x 34 min x 3.501885366 sec North

So we will create our own Geomatra number that makes it look real

65 x ( PI 5th power) = 19891.2795110432944620

= 25 deg x 34 min x 23.4015053071 sec North (created)

Grid Point Value

To figure his Grid Point Value, take the ratio of Grid Longitude to Grid Latitude , always greater-than-one .

280538.1822 / 2976.602561 = 94.24777961

= 30 x Pi

This result suddenly made many become followers and converted the undecided into the horde of lemmings that become indoctrinated to the numeric religion of the romantic notions of Geomatra. Here is now the door opener for those brave enough to face this truth.

194316.335955438973 / 19891.2795110432944620 = 9.7689208906 (created)

this value approximates 3 x pi = 9.4247779608 or I could choose Pi squared = 9.8696044011

either one of these values are close enough, now let us work in reverse, I will do both just to prove his method:

187470.89274718436522 / 19891.2795110432944620 = 9.4247779608 ( 3 x Pi)

195 x ( PI sixth power) = 187470.89274718436522

= 111 deg x 53 min x 31.8665464469 sec W.Giza (created)

This will give the result that makes it look brilliant and something unique, also it was not far off from the last value.

Here is the version with Pi squared

196319.0598054914843884/ 19891.2795110432944620 = 9.8696044011 ( Pi squared)

65 x ( PI seventh power) = 196319.0598054914843884

= 111 deg x 53 min x 33.3705694043 sec W.Giza (created) (very close to exact)

65 is the line number value for the magic square of 5, which they call the square of Mars.

This result will make the crowd dance in the isles, also it was not far off from the last value, this is what makes is look plausible. The Grid Point Value of any site like the Panther Mound that have values PI adjusted in the seconds decimals will always be some multiple of PI, easily designed to match Giza.

Here are two locations on the earth, one is arbitrary the other is my back yard next to my shed. I have interesting structure I built for my external Tesla coil, a ground system, it has a precise and real location:

Back Yard

Latitude 33.9027206155 South

Longitude 150.8998518137 East

Arbitrary Location (opposite side of globe)

Latitude 33.9033671156005 North

Longitude 150.899849953205 West

Using Munck reverse coding and numeric tricks, and not even using a PI table as Munck would have I have found this to be one of the most important grid points on Earth next to the Great Pyramid.

150 deg 54 min 18.447905898 sec Longitude West

+ 31 deg 08 min 0.8 sec Variance in prime meridians

=181 deg 62 min 19.247905898 sec Longitude West Giza

Grid Longitude = 181 x 62 x 19.247905898 = 216000 = 60 x 60 x 60

33 deg 54 min 12.1212121212 sec Latitude North

Grid Latitude = 33 x 54 x 12.1212121212 = 21600 = 60 x 60 x 6

Grid Point Value = 216000/21600 = 10 =decahedron is a polyhedron having 10 faces.

My Back Yard

150 deg 53 min 59.46652948sec Longitude East

– 31 deg 08 min 0.8 sec Variance in prime meridians

=119 deg 45 min 58.66652948 sec Longitude East Giza

Grid Longitude = 119 x 45 x 58.66652948 = 314159.2653654 = Pi x 100000

33 deg 54 min 9.7942157802 sec Latitude South

Grid Latitude = 33 x 54 x 9.7942157802 = 17453.2925203 =  Pi x 5555.5555

Grid Point Value = 314159.2653654 /17453.2925203 = 18 = 6+6+6

My Tesla coil has wire wound in a coil of 2160 turns(18 x 120) and resonates at 216000hz(18×12000), the Earth system I made has 8 radial arms 1 vertical down and a vertical up for the coil which makes 10, it also has 10 turns for the primary coil tapped at 6, the top load could be shaped as a decahedron (which has a icosahedral symmetry of order 120). As you can see I can make fanciful additions, even though all the numbers are correct and accurate, my Tesla coil is also real and its numbers are provable. The only difference is that if I moved it 50 mm in any direction the whole number stack falls apart.

These are based on mathematical tricks that any body with a calculator can create, the problem is the amount of people that have been seduced by the fantasy that there is a hidden code that we must decipher in these ancient sites. The real code is not hidden at all but in plane sight, and you cannot call it a code as much as Carl would like you to believe. The reasoning is a clear headed understanding of the workings of the Universe based on pure natural prime geometry and natures proportions and not religious, ceremonial or Geomatra numbers as most try to make you believe. The very nature of Geomatra numbers act as lures to those who are seeking symbolic meaning and purpose to them. Attaching the velocity of light to 144 is a simple example of this, as this is one of those special numbers that are coded into our history. That does not mean that these numbers do not have some significance to our past, they do, it is just they should not be muddied by superstitious beliefs and foolish notions. Number Theory, Atomic physics, Crystallography and our understanding of electrical phenomena are true pointers for the use of these numbers.

      The decimals placed after the whole number seconds are where he hides the PI and Geomatra numbers, when shown on a map this equates to distances under 1 meter,this allows you a great variation of choices to match the particular monument. A good example of this method is to show how numbers actually can do this. I am not a cryptographer as Carl is, but my methods unveiled his number game almost 10 years ago, a similar trick was used by Bruce Cathie, I have sat on this just hoping these guys would fess up and tell the world about their number game. This is when I realized, the purpose behind the deception, they believe their methods would guide any researcher to non-answers and permeate the underground researchers with false leads, 99 percent of the discoveries and conclusions they these types of writers have on the work of people like Schwaller de Lubicz and the engineer Nicola Tesla and his unfinished work have been a total fallacy. Only real Tesla engineers like Eric Dollard have pointed us in the right direction and the work of Christopher Dunn on clues left by ancient engineers proving Schwaller’s notions of an enlighten ancient past.

More Tricks

If the number you want in the final answer is 144 then you find what constitutes the parts that can multiply into this number, look at the huge pallet of numeric interplay that can be found in a simple number.

12 x 12

2 x 6 x 2 x 6

2 x 3 x 2 x 2 x 3 x 2

10 x 14.4

2 x 5 x 14.4

8 x 18

2 x 2 x 2 x 6 x 3

6 x 24

5 x 28.8

4 x 36

3 x 48

20 x 7.2

2 x 10 x 7.2

2 x 2 x 5 x 7.2

3 x 4 x 5 x 2.4

(1 x 2 x 3 x 4 x 5 x 6)/5

(1 x 2 x 3 x 4 x 5 x 6 x 7)/ 35

19 x 3 x 2.5263157894736842105263157894737

This last addition lets you see how to hide the intent in the numbers after the decimal point.

19 x 3 x 2 = 114 differential = 144 – 114 = 30

19 x 3 x 2.5 = 142.5 = 144 – 142.5 = 1.5

19 x 3 x 2.52 = 143.64 = 144 – 143.64 = 0.36

19 x 3 x 2.526 = 143.982 = 144 – 143.982 = 0.018

19 x 3 x 2.5263 = 143.991 = 144 – 143.991 = 0.009

Here is the same number with a hidden PI

2 x 22.918311805232928350719261925642 = 45.836623610465856701438523851284

PI x 45.836623610465856701438523851284 = 144

Now I will hide PI and reveal PHI(1.618034) in the same number

4.8 /PI = 1.5278874536821952233812841283761

( 15 x 4.8 x 1.5278874536821952233812841283761 )x PHI x PHI / 2 = 144

144 / ( 15 x 4.8 x 1.5278874536821952233812841283761 ) = PHI x PHI / 2

If Carl Munck could show how the ancients manipulated his values without a calculator I would probability would have been more convinced of his Code and not question his methods. The fact is clear his methods must be manipulated in inches and many decimal places at the seconds and PI and PHI are always involved, tweaking the bits so it fits in to his code. These two simple facts alone should make you question his results.

I propose the ancients didn’t use or need any values after the decimal point, they had no need for the AVERAGE value of PI or PHI, because they used prime numbers as a base property of all of their work, a slow dawning of understanding that only now we are beginning to appreciate. One main clue is the earthquake proof walls that exist in every ancient site on Earth, these were designed using prime number law not by some PI/PHI fudge factor. PI and PHI come out of using whole number values that are manipulated through simple arithmetic, and the use of normal and didactic fractions is paramount to this understanding.

The clear knowledge of Quantum Arithmetic and its true roots in Ancient Egypt, Sumer, Gobekli, Angkor, Mayan and other ancient civilizations are what we should be looking at, not some tricks of code that have no meaning except to promote disinformation and enrich the promoters.

One of the Carl’s codes secret is not to use whole prime numbers as they cannot be derived from other numbers, he always uses perfect,deficient, super-perfect and superabundant numbers along side decimal fractions. This keeps the Geomatra numbers easy to transform, hiding PI and PHI in the decimals. This is again will show either the ancients didn’t understand prime numbers or Mr Munck avoided using only whole numbers and prime numbers in his code, the later seems to be the case.

This is only a part transcript, in the full version I breakdown many Ancient monument and show you all the tables and spread sheets used, if you want to read more please buy my up coming book “Talking to the Birds”, Regards Arto.

The Great Pyramid – A Quantum Solution

December 21, 2012

Quantum Numbers for the Pyramid of Alnitak

by Arto Juhani Heino (c) 2012

 I am One that transforms into Two

I am Two that transforms into Four

I am Four that transforms into Eight

After this I am One

(Coffin of Petamon, Cairo Museum no: 1160)

 Finally I have unearthed the Quantum Arithmetic set of numbers for the Great Pyramid. I have been working on this for a number of years(1988), only now have I discovered some of the methods of the underlying geometry to build such a complex structure from only two numbers. The deep understanding of geometry by the Ancient Khemitians(Egyptians) should make our current system of calculus of approximates seem poorly suited for simplification and shorthand. All the pyramids can be constructed from this understanding, and if these insights become common knowledge then we have entered a new paradigm of Art, Architecture and Science.


The first two numbers and a ratio translation number are all the information required to reconstruct the Great Pyramid’s elusive design. There has been many theories about what constituted the design and the actual numbers used to build the structure, each one has failed to show the true beginning of the numeric journey. I found many ideas quite amazing and interesting how they weave their numeric code into the design.

There are many amazing and promising designs I have encountered, great work using pure geometry to crunch those angles and make it fit, sadly there are many devices used that are artificial and eludes to squaring of the circle, a pursuit rooted in the misunderstanding between a curved line and a straight line, two different forms of measure. The constructs used are the same devices used by generations of geometers who construct perimeters of different types, rooted in Phi and Pi. Just remember PI and Phi are not quantum units they cannot be used without resorting to approximations, you cannot build wholeness from endless fractional decimals, this is a modern illusion. I have included the Phi relations in Diagram 1 so you can crunch your own numbers and design a Golden Pyramid, based of PHI. The short list is a PI Pyramid, a PHI Pyramid and the Quantum Pyramid, all three are valid and related to each other, only the Quantum Pyramid is exact solution the other two are approximations.

Here Listed here are some of the Pyramids investigators and a brief of their work.

Leon Cooper -The Architects Plan

Ole Jergen Bryn Apex – Retracing the Egyptian Pyramids

John Cadman- Engineering Science and the Great Pyramid

David Furlong-The Key to the Temple

Samuel Laboy -The Perfect Symbol

Tim G. Hunkler- Symbolism and Coincidences of the Great Pyramid

Christopher Dunn -Giza Power Plant

Graham Hancock-The Orion Mystery

Mark Lehner- The Complete Pyramids

I.E.S. Edwards -The Pyramids of Egypt

Now that you can see some of the Writers, Archaeologists, Engineers and Investigators that have have walked this well worn ground and have not found the first principals, the reasons of structural placement and the functional meaning matching the form. They are all right in their conclusions , as this Pyramid includes ALL of these views and ideas, only their conclusions are but a different view point on the same thing. The main problem is the teaching of maths and geometry in schools, treated like a adjunct to abstract notions in finance and computer modelling. Only very few investigators in pure mathematics bothers to find out why numbers works in nature this way and why some solutions have multiple equations and some need calculus to try and figure it all out.

The only problem with invented mathematics are the results are not an arrow to the question what the Pyramid originally imposed upon mankind, only some numeric abstraction that has no basis in the natural world or order of the universe. Empirical results cannot give mankind much headway in answering our future dilemma. only the enlightened human being who understands the inner needs on the living system can know the path we must make to change our current perceptions on the nature of our reality and survival.

One question is why does the circle have only one center and the triangle have more than 6000 and the list grows. These things seem trivial, remember it is not the answer that matters but the question that is important. from questions arise the underlying principles that makes these geometric constructs work.

Here Listed is the basic Quantum Arithmetic equations that you need to design the correct pyramid. I recommend all researches to use these numbers to correct their models, as this is the pure whole number set that you cannot fudge to fit, they are absolute and cannot be corrected by any small decimals using Phi, Pi or Log. They are a constant and the roots to these the higher dimensions can be translated to any unit of measure by using a conversion ratio. We are dealing with whole number solutions and the ratio Phi is only a derived number, in the natural system you can refer this to the root numbers in Fibonacci series, where the oscillation about the Phi point generate amazing geometry. Pi is also a ratio and cannot have an exact solution so we will not use it as the value 3.1415727…..but as a series of ratios like the Phi point. Here is a list between 1.25 and 1.75 that you should recognise as common usage by Engineers, Geometers and Mathematicians.

5/4 = 1.25000000000000000

9/7 = 1.28571428571428571

4/3 = 1.33333333333333333

3*HDp/WDp = 1.350272105524200

e/2 = 1.35914091422952261 = Natural logarithm/2

7/5 = 1.40000000000000000

SQR(2) = 1.41421356237309504

10/7 = 1.42857142857142857

3/2 = 1.50000000000000000

163/107 = 1.52336448598130841 = Alintak fraction 56+107 = 163

Fg/3 = 1.55640053636766355 = Feigenbaum constant /3

168/107 = 1.57009345794392523

PI/2 = 1.57079632679486619 = PI/2

Wp/Hp = 1.571031746031750 = Pyramid Width/Height

11/7 = 1.57142857142857142 = Refer Plato also 11! / 7! ^2

8/5 = 1.60000000000000000

PHI = 1.61803398874989484 = PHI

2*HFp/WFp = 1.6188431422076200 = Quantum Pyramid Face Height/Width

5/3 = 1.66666666666666666

12/7 = 1.71428571428571428

265/153 = 1.73202614379084967

SQR(3) = 1.73205080756887729

1/V = 1.73245471460063347=  1/ Euler-Mascheroni constant

100/Rad = 1.74532925199432957 = Radian

3/4 = 1.75000000000000000

Fg = 4.6692016091029906718532038204662 = Feigenbaum constant

e =2.7182818284590452353602874713526 = Natural logarithm

V =0.5772156649015328606065120900824 = Euler-Mascheroni constant

Rad = 57.295779513082320876798154814105 = Radian = 180/Pi

A series of Quantum versions, some are exact, most are approximates:

5/4 = 9/7, 35/28, 180/144, 6300/5040, 8201/6561

4/3 = 9/7, 37/28, 192/144, 6720/5040, 8748/6561

Sqr(2) = 10/7, 40/28, 204/144, 7128/5040, 9279/6561

3/2 = 11/7, 42/28, 216/144, 7560/5040, 9842/6561

Fg/3 = 11/7, 44/28, 224/144, 7844/5040, 10212/6561

PI/2 = 11/7, 44/28, 226/144, 7917/5040, 10306/6561

11!/(7!)^2 = 11/7, 44/28, 226/144. 7920/5040, 10310/6561

PHI = 11/7, 45/28, 233/144, 8155/5040, 10616/6561

5/3 = 11/7, 46/28, 240/144, 8400/5040, 10935/6561

Sqr(3) = 12/7, 48/28, 249/144, 8730/5040, 11364/6561

1/V = 12/7, 49/28, 249/144, 8732/5040, 11367/6561

100/Rad = 12/7, 49/28, 251/144, 8796/5040, 11451/6561

7/4 = 12/7, 49/28, 252/144, 8820/5040, 11482/6561

PHI = 1.6180339887498948482

PHI = 11/7 = 1.5714285714285714285 below

PHI = 45/28 = 1.6071428571428571428 below

PHI = 233/144 = 1.6180555555555555555 above

PHI = 8155/5040 = 1.6180555555555555555 above

PHI = 10616/6561 = 1.6180460295686633135 above

As you can see these ratios converge to the irrational value PHI, as a abstract. This cannot be used a a building block only the two convergent whole numbers are usable as true constructs of concrete reality.

PI = 3.1415926535897932384

PI = 22/7 = 3.1428571428571428571 above

PI = 88/28 = 3.1428571428571428571 above

PI = 453/144 = 3.1458333333333333333 above

PI = 15834/5040 = 3.1416666666666666666 above

PI = 20612/6561 = 3.1415942691662856271 above

As you can see these ratios converge to the value PI, again it is an irrational abstract. This cannot be used a a building block as the value is not a whole number, only the two convergent whole numbers are usable as true constructs. These lists are guide lines to investigators to look for whole number relations that can be used to create whole forms without PI/PHI, only this type of knowledge can help you realize the hidden potential of Quantum Arithmetic.


The diagram 2 illustrates the Pyramids design is based only on the properties of the Quantum Triangle Unit and the centers that are generated from such a triangle and the circular distances(radii) from points. There is no esoteric magical number or Pi / PHI related ratio grid and the use of any design constructs are removed and only the pure triangle geometry is allowed. This constraint is to eliminate the modern propensity to try and own and control the geometric space by artificial means, this allows the clean use of the quantum numbers that you have begun the construction with and not to wander into transcendental number schemes, this would only cloud the underlying integer structure and clear definitions that are created by staying to the whole number constraint.

The numbers contain the constants of the geometry of the triangle and all the units derived from these base units for the construction of circles squares and many other forms.

b     e      d       a

70   37   107  144

B          E          D           A

4900   1369   11449   20736

C          F            G            L

7918   10080   12818    6651120

H           I             J            K

17998  2162    7490     15408

W           X            Y            Z

19367   3959      9287      16777

Some of these numbers you might recognize if you are a student of Geomatra and the hidden meaning behind numbers. I am sure the number 37, will ring a bell to those mathematicians who will also recognize 107 + 56 = 163, these numbers are called “Almost Integer”, these types of numbers are found in the Quantum Pyramid in abundance. Some of these number are 25, 37, 43, 58, 67, 74, 148 etc. Why are these numbers important as a large class of these irrational numbers can be found using the theory of modular functions, a few examples are given by Ramanujan (1913-14). Such approximations were also studied by Hermite (1859), Kronecker (1863), and Smith (1965). They can be generated using some properties of the j-function. How this relates to to the Quantum Pyramid is fascinating as the mathematicians where searching for an underlying structure to prime numbers and number theory in general, these crossings can only guide our understanding.

There are a minimum of three basic triangles in the pyramid and a minimum of one square :

1 BH Base width x Height

2 DH Base Diagonal x Height

3 BS Base Width x Face slope

Each Triangle has a minimum of three quantum parts

1 BHQ1 C+C,G,G

2 BHQ2 Q,G,D

3 BHQ3 G,D,M

Each Triangle Has a minimum of 5 Centers, depending on the type of triangle , some centers coincide.

1 CEcent Centroid

2 CEinct Incenter

3 CEcrct Circumcenter

4 CEorth Orthocenter

5 CE9pnt 9 Point Center

Each Triangle Center Has at least a Circle associated with it.

1 CRcent Centroid**

2 CRinct Incircle

3 CRcrct Circumcircle

4 CRorth Orthocenter**

5 CR9pnt 9 Point Circle

Each center and circle will have lines either connecting each other, tangent from centers to all circles, from each point in each triangle. from each point in each triangle and each circle center and from each point of each triangle to the tangent of each circle. Quite a lot of these values generated by the line point/tangent co-ordinates will have direct relationships to the quantum set.


























































The list above is only a short version of the centers and points that could be used to build these structures, these are only basic guides that will be in harmony with the quantum numbers that you started with. These guides are allocation design parameters and the purposes of the shafts and cavities that you build, each will reflect the meaning of the geometric center that is used and the numeric harmony it has with the quantum number set. As mankind has forgotten the inner meaning and names of these hidden geometries, we will give names to each as we find them, just as the ancients did.

This List is relative to the diagram 2 showing the pure geometric reasoning for placements of internal section of the design.


C1 Circumcircle

C2 Incircle

C3 Centroid Circle

C4 Nine Point Cicrle Ztr

C5 Incircle 2nd

C6 Incircle 3rd

C7 Tan L4/L2/ Diam H

C8 Apex circle

C9 Quantum Zline Circle

C10 Diam = H

C11 Incircle Ztr

C12 Incircle 2nd


L1 Central axis

L2 Triangle slope

L3 Triangle Base Line

L4 Triangle slope

L5 3 point Angle 1/2 division Main tr

L6 Angle 1/2 division Ztr

L7 Circumcircle center/L4/

L8 2 point Angle 1/2 division Main tr

L9 Point 21/Point 6/Point 11/Zline Circle/L1/L12

L10 Point 8/point 13

L11 Point 18/Point 17/ Point 20

L12 Point 10/ Incircle 2nd center/point 21

L13 Point 8/

L14 Quantum Zline

L15 Point 7/Point 13/Point 15/C7


1 Cross L2/L4/L1 Apex

2 Cross L2/L3/L8 Main Tr corner

3 Cross L2/L3/L5 Main Tr corner

4 Tan C3/L2

5 Cross L5/L2 Circle center Diam=H

6 Cross L2/C9/L9

7 Cross L4/L8

8 Cross L4/L7/tan C7

9 Cross L3/L16/C9

10 Cross C5/tan L3/L12

11 Cross C9/L14/

12 Cross L1/L9

13 Cross L10/C7

14 Cross C5 center/L12/L8

15 Cross L1/Center C1

16 Cross L1/Center C2/C10/Centroid of Main Tr

17 Cross L6/L11

18 Edge Incircle C5/L11

19 CrossL1/L7

20 Center 9 Point circle C12/L11

21 Cross L12/L9/C9

22 Cross L14/C6/L7

The early Egyptian deities were all on a equal footing and each reflected a particular type of action and philosophy, this will have to be rediscovered again before we can realize the subtle reasoning that the ancients had with the structural form allocations. The clear truth starts to dawn that the Khemitians NEVER used the pyramids as a tomb for a Pharaoh, because at the time they were built there were no Pharaohs only an enlightened mankind that left a legacy to the future. The legacy of pure geometry and number that is immutable and is aligned with the actions and harmony of the universe.

The Khemitians left a structure that was filled by the early Egyptians and slowly converted in to the religious worship that was never part of the original designs of the Khemitians , they knew their legacy would be followed if they stuck strictly to geometric rules and numeric constraints, eventually the true knowledge would rise from the observations of the art and architecture, even if the the civilization that embraces them have lost the original meanings. An example is the sun sign on the heads of many deities, these are never shown as circular only as ellipses, and if observed without preconceived notions they would be understood as Quantum ellipses.


The diagram above is the  BHQ3 = G,D,M

PyraPict1aThe diagram above is the  BHQ1 = C+C,G,G


The Diagram above is the BHQ2 = Q,G,D

The Origins of Geomatra Numbers

As you are aware there has been a New Age numeric enlightenment towards ancient monuments and the associated location and the dimensions of them. These ideas are from numerous sources old and new and they place importance to different numbers and quantities, as you know if the values are PHI related then you can be sure they have a common background in Quantum Arithmetic. The list is very long and the variety of scared numbers is very long and grow longer with each generation, it looks like we should find the source to this attachment to these special numbers. Here is a short list and some of the background of its attachment.

7 = Days

8 = Eightfold Path

9 = Egyptian Gods

11 = Master numbers in modern occult numerology , it denotes hidden dangers and great trials and difficulties.

12 = 12 Links of Dependent Origination, 12 Powers of Buddha

13 = Natures number

32 = Parts of the Body. 32 Physical Marks, 32 Characteristics Which a Great Man can be Recognised found on Buddha.

37 = Factors of Enlightenment, 37 things that are conducive to awakening. Mark the perfect man, and behold the upright: for the end of that man is peace. That’s Psalms Chapter 37, Verse 37.

40 = days and nights of darkness,

52 = Mental Formations. These range from greed and hatred to discretion and balance of mind. Weeks in the year.

144 = Light

153 = Bible, miraculous catch of fishes

216 = 6 x 6 x 6

288 = Double light, the Kingdom of Heaven.

360 = Degrees of the circle

432 = Consecration (also the square root of the classical speed of light, 186624 miles per second). Luke 8:15, Revelation 2:17, etc.

396 = Classical earth radius (3960 miles).

576 = Prophecy and Gospel.

666 = Sign of the beast

864 = Time , the source of light and life, Most Holy. Diameter of the sun=864000 miles

888 = Jesus

1152 = Witness (576 x 2). Biblical references include Luke 14:26, Revelation 3:12, 12:11 and 19:9.

1296 = Circle of space (360 x 60 x 60). 1296 was also Plato’s favorite number.

1440 = minutes in 24hours. Light

1548 = Priest of God.

1728 = 12x12x12 , A-flat in music.

2160 = Diameter of the moon: 2160 miles

2304 = False Christ’s and False prophets (1 Cor. 14:22, Mark 13:12).

3168 = Lord Jesus Christ.

3888 = New Jerusalem (Rev. 21:2, 1 Cor. 12:27, Luke 8:21, etc.).

5040 = 7!

5184 = 72 x 72, Victory over the beast (Rev. 15:2).

25920 = The Great Year

There are many more than I could list, a common sequence is those numbers that divide by 3, and 7. The mental attachment to these and other numbers are a symptom of hundreds of years of subtle religious reinforcement, financial methodologies and forceful masonic application each using the influence as a form of magical control over the general public, if you are one of those who have this affliction then you are in good company.

The main source of the western Geomatra is the Hebrew alphabet and Greek alphabet, as the Hebrew has its origins in Egyptian hieroglyphs, I would say they are related by basic forms and meanings. Then as a consequence of the common heritage the lineage of Geomatra numbers go back to the Khemitians who wrote the first codes of understanding into the monuments and the writings on the early civilizations of that region. Other parts of the world used the same ideas and basic forms , not necessarily the exact same glyphs but similar enough to recognize the same origin, as the local culture was global NOT regional as the establishment want us to believe.

The first sign of enlightenment and awareness is to recognize these numbers, the second is to be see to who is wielding the influence, third is in the clear knowledge that these things can no longer control your actions. At the moment of this , we will have entered the new paradigm and have gone past the hierarchical control from the leaders who wield agendas of enslavement. This was the purpose behind the Egyptian Horus, the complete and enlightened human, a model for all to follow, NOT a God to worship.

Opening the door to this is accepting a new numeric organization, one that has not been taught since the Ancient Khemitians built their Pyramids. Only Pythagoras had tried to pass some of his methodologies and ideas that was taught to him from the Egyptians who kept the knowledge through the ages, only to be misunderstood by many. Archimedes and others who read the manuscripts from the Alexandrian library and passed some of his interpretations back to us.

At the entrance of the new awareness you will have to leave the coded tricks of invented mathematics and walk a narrow path that will lead you to answers that are simpler and full of meaning. It is only truly free men that are not trapped by a wall of numbers built by accountants, lawyers and politicians and the rest of the masonic orders that wield power and influence hidden to most of mankind. Are we ready for such a new journey or are you still comfortable in the entrapment of occultists numeric policies that run our system..

Remember all the valued listed are derived from the b and e roots by simple arithmetic. The first 4 terms are the Roots, the next 12 are derived from the the 4.

b = 70 = d – e

e = 37 = a – d

d = 107 = b + e

a = 144 = d + a


B = 4900 = b x b

E = 1369 = e x e

D = 11449 = d x d

A = 20736 = a x a

C = 7918 = 2 x d x e

F = 10080 = d x d – e x e

G = 12818 = d x d + e x e

L = 6651120 = ( d x d x d x e – e x e x e x d ) / 6

H = 17998 = ( a x a + 2 x b x a – a x a ) / 2

I = 2162 = ( e x e + 2 x d x e ) – d x d

J = 7490 = d x d – d x e

K = 15408 = d x d + d x e

W = 19367 = d x e + d x a

X = 3959 = d x e

Y = 9287 = 2 x d x e + d x d

Z = 16777 = e x e + d x d + d x e

These two are non whole number terms that are used to help solve the Circular and Triangular Equations.

AP-Pi = 5.387334464 = ( 2 x d x e + d x d + e x e ) / 2 x ( ( b x e x d ) / a ) = Arto-Parker Pi Ratio for Quantum Triangles

ICR = 3849.027777 = 2 x ( ( b x e x d ) / a ) = Incircle Radius

Thank you very much for reading an excerpt , and I hope you will enjoy my book, “Talking to The Birds”, Regards Arto


The Kings Chamber

December 14, 2012

Here is the complete numeric code of the Kings Chamber(Resonant Cavity) from the interior of the Great Pyramid(Alnitak), the numbers cannot be fudged and are precise , no allusion to the value PI or the Phi. Using transcendental numbers only gives you approximations, not true values, only Quantum Arithmetic can reveal the underlying order behind these types of structures.

Kings Chamber1f

The original ideas were not coded from computers and approximated with calculus, these tools would not have been needed 10000 years ago. The dawning of a new paradigm in understanding of ancient monuments are written in the quantum code that underlies all of these stone artifacts, if they knew how and why, we can also know, this was their legacy to us. The path to the enlightenment of our ancestors does involves many sacrifices, many more than most modern people would want to endure.

The value to translate from Fingers(Digits) to millimeters is to divide by:

1  Finger     =    18.6871428571429 mm

The value to translate from Quantum Units to feet is to divide by:

1  Foot         =    39.378640776699 QU (Quantum Unit  = 338)

By the research I have here it seems the Cubit(Royal) used for the Kings Chamber is:

1 Cubit (CR)    =    523.24 mm     = 20.6 inches

A quantum unit in not a empirical measure, it is an absolute value that can be derived from number law and prime numbers it does not have a distance measure like meters and feet. This is what the ancient Khemitians (Egyptians)  express as divine , sometimes giving it names like Osiris, Horus, Thoth, Atum etc to explain the amazing qualities of pure numbers. I suspect the nine gods of the ennead are also known as the geometers Nine point circle and all the discipline and understanding that comes from its knowledge and deep connections with the absolute and pure numbers of the universe.

As you can see the use of cubits, hands and fingers are very easy to translate from quantum units, the people from Khemit knew that these measures would not be absolute, only as a translational device. This is the reasons our current society cannot pinpoint why cubits had so many variants, we think that our measures are correct and absolute and the ancients were vague and approximate, I agree this is the case, only if you look at it with a narrow idea of what absolute measure really is, meters or feet are just convenient rulers for our utilitarian needs, just as cubits and palms were to the ancients.

There is a another level of hidden measure here, as the Khemitians did not use  decimal fractions like we do, we must look at another schema that does not rely on our modern approach. It looks like the unique quantum values have been used again, this time to create another cubit measure that can be used for the height and one of the diagonals(D3). This was has been called the standard cubit:

1  Standard Cubit (CS)        =    17.7165385909599 inches

This length reduces the problem required by making the height now 13 CS and the diagonal D3 become double value of 26 CS. These numbers are the first 2 numbers of the Quantum set that I have shown. This alone will tell you the Khemits knew the Quantum code used and that the rediscovery of their methods is complete, no more esoteric geomatra that only confuses the numeric issues by introducing some strange masonic ritual into the understanding of numbers, not that this did not serve the purpose of showing these values as sacred to the hidden code and help perpetuate the use of them through history, thanks to the people who showed their continued reverence and usage in architecture, art and geometry. Here is some more figures that confirm this:

13 x 26 = 169 x 2 = 338

338 X 338 = 114244

A right angled triangle created from a base of 26 CS(D3) and a height of sqrt(33.8) has a hypotenuse that is equal to the floor diagonal(D4), this value is Sqrt(709.8)

7098 = 239912/338 = 1014 x 7 = 338 x 21 = 338 x 7 x 3 = 26 x 13 x 7 x 3 = 169 x 42 = 169 x 7 x 6 = 13 x 13 x 7 x 6

There seems to be some strange idea that the ancient builders used some sort of special ruler to measure and build the structures and maintain the PI/PHI properties, this is just fantasy as you do not need to use these numeric or ruler type devices to measure its proportions, they arrive out of using Quantum numbers as PI/PHI are built from Quantum proportions.

The D4 measure is most interesting it looks like the possibility to translate into whole number measure the Khemits may have used is 26 cubit CS and a didactic fraction 217/338 this is 0.00006015717542851 from being exact, in millimeters this equates to 0.000041959721260mm which is about the thickness of a human hair. This would seem be an acceptable clearance allowing for temperature differentials and seismic activity. As for that number 217, this is another interesting quantity as 216 is 6 cubed, further investigations would seem fruitful in this direction, even though we are only dealing with such a small fractional part, the Khemitians gave us the questions, so we are obliged to answer.

The QA numbers seem almost trivial compared to the modern edifice of mathematics, millions of volumes full of the most complex ideas of mankind, still it seems not to speak as simply and directly as Quantum Arithmetic. The Quantum number set used in the cavity is the part of a series of numbers that have particular properties, such as:

2 x 39 x 13 = 1014 = 39 x 39 – 39 x 13

the common divisor is 13

as 39 = 3 x 13, this only works by multiplying 2 prime numbers and having a common divisor(13).

2ax b = a^2 – ab if b/a is an integer and is a divisor of the other

what if the QA set was 26,12,38,50  then

2 x 38 x 13 = 912 and 38 x 38 – 38 x 12 = 988

38 does not divide by 12 without remainders, this cannot be used in this type of construction, but maybe in another shape or form these numbers are suitable as part of its required building blocks. This particular rectangular cube has harmonic properties just like the Quantum number set has.

My methods are original and the answers speak for themselves. if you doubt the veracity of my approach please by all means find fault with the numbers not me. I am not an Engineer, I am not a Mathematician, I do not hold a degree in any subject; BUT: I am an Artist and this is part of my art, something that I have worked a lifetime to accomplish, I hope what I reveal through my work, we can all gain a better understanding of the world around us.

If you find my work of value please donate via PayPal, as this will afford me to continue in this unique endeavor. Thank you Regards Arto. This and more will also be in my book “Talking to the Birds”.

Saqqara Ostrakon

December 5, 2012


Saqqara Ostrakon a Different and Exact Solution

by Arto Heino 2012

Having solved many numeric puzzles using Quantum Arithmetic, I decided to attack this interesting artifact with relish. It seems everybody had a go at this including Graham Hancock. I am glad to express my delight in the solution that I have found, revealing the true principles of Ancient Khemitian(Egyptian) geometry and part of the foundation of building and pyramid design and the reason for their construction principles. As I will show on a another blog entry, I have found one of the the final keys to knowledge of the ancient Pyramidic geometric cipher, no weird magic number or symbol required, this is truly exciting and I will notify all interested parties when my blog is published.

The Saqqra OstraKon was found at the excavations in Saqqara in 1925, the writing reveals this object has a geometric value. The inscription is a form of shorthand to a larger idea.

3 Cubits, 3 Palms, 2 Fingers = 98 Fingers = 1837.5  mm
3 Cubits, 2 Palms, 3 Fingers = 95 Fingers = 1781.25 mm
3 Cubits, 0 Palms, 0 Fingers = 84 Fingers = 1575    mm
2 Cubits, 3 Palms, 0 Fingers = 68 Fingers = 1275    mm
1 Cubit , 3 Palms, 1 Finger  = 41 Fingers = 768.5   mm

1 Cubit  = 7 Palms = 28 Fingers = 525 mm (using this conversion size in millimeters)
1 Palm   = 4  Fingers = 75  mm
I Finger = 18.75 mm

The small curved line and a few strokes and the numbers above is all that was needed. The 98 Fingers was the first clue, this would be the Perihelion or in QA the J factor. The plane number 98 didn’t fit with any Quantum Ellipse so a multiplication or conversion number must have been used, after a few attempts it looks like the prime number 5 was the cipher.

G _ H  = 490 = 5 x 98
N _ W  = 475 = 5 x 95
D _ Z  = 420 = 5 x 84
R _ B1 = 340 = 5 x 68
T _ C1 = 205 = 5 x 41

Now that I know J= 98 then as in all QA you can work backwoods to find the roots of the ellipse. These are the original root numbers that I found:

b = 2    e = 3  d = 5   a = 8  , these will give you J = 10 and the eccentricity of 0.6

b = 14   e 21   d = 35  a = 56 , these will give you J = 490 and the eccentricity of 0.6

The prime factor underlying the x 7 is a way of finding the other derived numbers in a simple translation as J=98 is not a Quantum root size it is a derivation from a physical measuring system from a Quantum number set.  This diagram should explain the geometry.SaqqaraElli4

The reason I exclaimed the true solution is because of the following hidden variables. The redrawn diagram everybody followed by Battiscombe Gunn is incorrect, looks like his pet theory of 28 fingers between lines was wrong, as you can see by the original carving the lines are not evenly spaced, it was only a crude diagram drawn without a rule, you cannot base the intention of the geometer on a rough sketch,  only on the description he gives and the approximate position of all the lines. All QA requires is some real numbers and an approximate shape to define the correct form.

These are exact values with no decimal fractions:

H _ W  = sqrt(  23376 )
H _ Z  = sqrt( 106624 )
H _ B1 = sqrt( 220800 )
H _ C1 = sqrt( 394896 )
H _ I  = Sqrt( 614656 )

These are the values when J=490, they reveal the correctness of the QA precision  You will never arrive at this sort of numeric clarity using any mathematical tricks, the Quantum Ellipse is a unperturbed form and non empirical.  The values when J=98 re listed below:

H _ W  = sqrt(   935.04 )
H _ Z  = sqrt(  4264.96 )
H _ B1 = sqrt(  8832    )
H _ C1 = sqrt( 15795.84 )
H _ I  = sqrt( 24586.24 )

What we are looking for is the gap sizes, here is J=490

H _ W  = sqrt(  23376 )
W _ Z  = sqrt( 106624 ) – sqrt(  23376 )
Z _ B1 = sqrt( 220800 ) – sqrt( 106624 )
B1_ C1 = sqrt( 394896 ) – sqrt( 220800 )
C1_ I  = Sqrt( 614656 ) – sqrt( 394896 )

Here are the final values decoded and back to empirical finger and metric measure

H _ W  = sqrt(  935.04 )                                    = 30.5784237 Fingers = 573.3454456 mm
W _ Z  = sqrt( 4264.96 ) – sqrt(  935.04 )  = 34.7282374 Fingers = 651.1544523 mm
Z _ B1 = sqrt( 8832    ) – sqrt( 4264.96 )    = 28.6720597 Fingers = 537.6011207 mm
B1_ C1 = sqrt(15795.84 ) – sqrt( 8832    )  = 31.7027812 Fingers = 594.4271479 mm
C1_ I  = Sqrt(24586.24 ) – sqrt(15795.84 )  = 31.1184877 Fingers = 583.4718333 mm

These sizes were not needed by the Khemitian geometer to their requirements only the right angle edge and the curve was needed, only modern calculus require these values as to plot X * Y curves. The Khemitians had no need of such crude mathematical devices such as calculus, they treated the curve as a different type of measure than the straight line. Now we can extrapolate the Cubit/Finger and metric size of the whole ellipse.

Length of the ellipse is = 2450 = 490 x 5 in Fingers = 490 = 17 Cubits 3 Palms 2 Fingers = 9.1875 mtrs

Width of the ellipse is = 1960 = 392 x 5 in Fingers = 392 =  14 Cubits = 7.35 Mtrs

The values are correct as no extra bit of a finger is required, this one of the reasons the Khemitians used these types of measure. The translation into quantum units were simple and there were no fudge factors that required PI, PHI or Log, no fractional decimals, only whole numbers  So the final outcome underlies how truly powerful Quantum Arithmetic is when fully understood and utilized in the right hands, when looking for a accurate solution without errors from empirical measurements and data from approximation using calculus.

These and many more are from my up and coming book “Talking to the Birds”, regards Arto

An article by Battiscombe Gunn
Published in Annales du Service des Antiquites de L’Egypte,
Volume 26, 1926, pages 197 – 202
Printed by the Institute of France, Oriental Archaeology,
Le Caire, France

Diagram was created by Arto Heino using GeoGebra

*** New Addition *** 2021

I can see some are not convinced of my odd methodology, here is ample proof that simplicity was the key.

As the diagram illustrates:
IH = 784
HF = 1470
IF = 1666

Add together to create the perimeter of the triangle, thus:
784+1470+1666 = 3920

Now return back to Finger measure:
3920 / 5 = 784

Now return back to Royal Cubits:
784/28 = 28

Thus if you have a string 28 RC long and joint it to make a loop, then you make two pegs on the ground at the distance of:
1470/5 = 294 fingers = 10 RC + 14 F

You can now trace this ellipse with a marker at a third point when you stretch the string. Refer to the diagram below using the 3-4-5 triangle giving 12 as the perimeter.

I hope that simplifies my reasoning why I use QA to solve these ancient problems. Regards Arto

The Ecliptic Pole and the Sarcophagus of Vega

February 26, 2011

This post is a part of my, current book I am working on “Talking to the Birds”, this is the working title. With the many chapters that I am still writing, this is a small portion of my ancient culture studies. I decided to publish some of my findings early, so I could at least engage the minds of the public on some sections of my book.

I won’t elaborate on the file titled “The Pyramid of Alnitak” , except that it is the Pyramid of Khufu/Giza, I chose not to use either name  because when it was originally named, archeologists didn’t understand that it represented a star. Refer the Quote by  Hermes Trismegistus  in ancient times, ” Art thou not aware, O Asclepios, that Egypt is the image of heaven, or rather, that it is the projection below of the order of things above?”

If you want to see more of these types of posts please donate, here is a link to one of my manuscript pages,

Thanks for you support, Regards Arto.




They have found Hidden passages in The Great Pyramid(google it). Here an update to my original design.