Written by G. T. Hushion. Posted in Articles

The Pi-odds Forum is finally together. It was installed several weeks ago ...but I was without the knowledge of how to administrate it. I now have my foot in the door and that's about it. At least another couple of weeks before i have a full blown grasp.

Subscribers (it is free for now) may log into the Pi-Odds Roulette Study, Session One. It consists of 119 trials. There are 21 sessions in the study with a total of 1,665 trials. Nine sessions lost money. The bottom line of all 21 sessions is statistically clear and generally matches other books of roulette outcomes. A true geometric was a true (no house edge) geometric advantage of .16666 was predicted. A .16130 flat bet advantage was found.

We will be studying all 21 sessions.

After the house edge, a flat bet advantage of .10018 was delivered.

Using the additional advantages to be found by factoring Centrifugal force and the and Coriolis effect, a flat bet advantage of .27777 was predicted and a true geometric flat bet advantage of .27603 was achieved. As explained in CRACKING ROULETTE, the house must be awarded an additional pocket when using Cenrtifugal and Coriolis since the house numbers are necessarily deliberately bet into. That reduced the flat bet advantage to .20887.... .

While this Forum will look at all the sessions, the methodologies are all to be found in any one session (winning or losing). Session One is a good place to start.

Since I still have only an uncertain and incomplete knowledge of using the complexities of the Forum (which is why I am using this Blog instead). I can only encourage members to log in and start becoming familiar with the layout and basic methodology. The relative pi-angle pole consists of five pockets. The pi-angle pocket is the center pocket. The pi-angle 1 pockets are the single adjacent pockets on either side of the center pi-angle pocket. The pi-angle 2 pockets are the next single adjacent pockets to the pi-angle 1 pockets.

Look at the wheel. If a ball landed in pocket 5 at the first of a series, the pi-angle pole would consist of the pockets: 31, 18, 6, 21, 33. In this example, pocket 6 would be the pi-angle pocket. Pockets 18 and 21 would be the pi-angle 1 pockets. pockets 31 and 33 would be the pi-angle 2 pockets.

After the ball lands in pocket 5, wait one spin. at the third spin bet the pi-angle pole.

Congratulations! Win or lose, you have just applied Quantum Mechanics to a roulette wheel. Keep repeating the process for each and every trial (single release of the ball) and the geometric player will find the flat bet advantage.

We will be exploring the full scope of geometric probability, using all 21 sessions, to look for the fuller nature of the geometric seed.

The geometric evidence is that all that is rotating or being randomly measured are two possible directions on a straight line ...not a "circle or "cube" or "card suit." Therefore -and tentative statistical evidence generally supports this- the true flat bet advantage is one hundred percent of one half of the total possibilities. On a 38 pocket wheel, that would be a true flat bet advantage of one thousand nine hundred percent (yes)! Since I am not a mathematician, this is a special project to be developed here.

In the meantime, relative to the "game," the .16666 advantage is the starting line.

It will take a few more days (I have a slight learning disability) before I get comfortable enough to do more with the Forum, but feel free to explore. We will be looking at overlapping geometries and recurring patterns in the geometric relationships between relative 1/4 pi and 1/6 pi. This will help establish what gamesters call the "draw down," but more importantly will give a more complete picture of geometric probability.









Written by G. T. Hushion. Posted in Articles

The Forum will officially open in a few days. I am still learning how to use it.

There is no educational history of these matters. Where to start?

In the last half of the decade of 1790 - 1800, the first entering students to the Ecole Normale and Ecole Polytechnique were required to be versed in "quadrature." It was the opening gambit in what could be  considered history's greatest fraud. The requirement came from Laplace. He knew "quadrature" was defeated by "action at a distance" (third degree equations) and he knew the original Needle provided the supporting geometry. He knew there was a .08333 (or .16666) flat bet advantage ...and he concealed it.

Starting the Pi-odds Forum where Laplace should started it with incoming college students would seem appropriate.

The Forum will initially focus on pi and "action at a distance" and roulette before moving on to cards and random number generators. We will be looking first for a clear statistical picture of the recurring geometry that delivers the .16666 flat bet advantage.

When the mechanics of these axes are grasped, the Forum will be ready to move on to personal projects of individual developer/participants. It would clearly be next to useless to start advanced special projects if other Forum members cannot assist because they are not up to speed.

We will be rewriting random theory and the Forum participants may claim historical credit. Since the intent is to explore the true depths of randomness rather than "beat the casino," someone's special project may actually be directed at developing new rules and games that will actually protect the gaming/entertainment industry and the jobs they include.





Written by G. T. Hushion. Posted in Articles

With growing pains abated, the Cracking Pi Forum will be ready in a matter of days. The intent of the Forum is not to defeat the gaming industry, but to redefine and rewrite random theory. The intent is to address broader usage, particularly in areas that matter, such as the stock market, weather patterns and bio-distributions.

Games of chance are used only for the mechanics of perfect randomness they offer.

Two centuries have passed since the last effort to address geometric probability ...and two centuries of evolution have been lost. What is often misnamed "geometric probability" is only another algebraic version of the "possibilities" of traditional random theory. The only randomness that may be legitimately called "geometric probability" must be drawn out with "action at a distance," either from Quantum Mechanics or the work of Rudjer Boskovic or the gravity bet. Any other measure of randomness is only more algebra.

Where to start?

With two centuries of no development other than the complexities of Quantum theory, it would seem appropriate to start at the beginning before "letting the market decide." To that end I am initially opening the Forum for free to see how much interest is shown in which areas.

Initially, the focus will be roulette and a search for either repeating geometry or a permanent geometric "seed" configuration.

The Forum is designed at the level of incoming undergraduate students but welcomes all. assistance will be need from mathematicians, statisticians, analysts and researchers. The data base will start with the Pi-Odds Roulette Study before moving on to cards, random number generators and special interest projects of developer/participants.

Participants are also part of the development process. Each participant should be recognized as one of the founders of this new approach to randomness. Students are encouraged to keep track of their participation and seek credit from their schools.

Participants are also encouraged to work with and/or submit their own data base. Some projects may require more sophisticated research. However, much of the basic material may be covered simply by participants repeatedly dealing out and recording a deck of cards and submitting the results into the Forum.

Roulette is significant for its perfect recurring circle on a fixed axis. Cards are significant for the ever changing size of the circle from "no replacement" and lack of a fixed axis. Each has a counterpart in the "real" world we are all familiar with from planets to the stock market.

The Pi-odds Forum will be an adventure that can only occur once and I profoundly thank the friends, fans and followers who have hung in with patience and enthusiasm. I know we are all looking forward to working together.






Written by G. T. Hushion. Posted in Articles

The reconstructed site will open soon



Written by G. T. Hushion. Posted in Articles

"You can't calculate probabilities with just algebra. The geometry must be taken into account."

Comte George Buffon, Essay on Moral Arithmetic



The original Needle has never recovered from its loss in 1812. Lost as well was its length of relative 1/4 pi as the universal random average. Significantly, relative 1/4 pi was also lost as the universal, random, gravitational unit of measure. This is one of the reasons why, until CRACKING PI CRACKING RANDOM, physicists could only theorize a string theory of physics and/or mechanics ...but not prove it.

String theory works with the random averages of the original Buffon Needle Problem. The key to string theory is the gravity bet with its geometric finesse through the Monte Carlo methodology of traditional random theory. The gravity bet is the organized form of "action at a distance" (see: What's Cracking).

This is also an organized form of the methodology of the quantum sciences. The results of that methodology contain the relativity that frustrated and eluded Albert Einstein (see: What's Cracking). 

Every series of random measurements of a random table game --or any other random series-- tends to statistically deliver the proof of a string theory of physics/mechanics!

The heart of that proof is a geometric probability that contains a random flat bet advantage in contradiction of all traditional random theory. It is most fundamentally found in the relativity between the respective digits of the geometric divisions of pi.

That relativity is reflected in the geometric probability of any random series of ...anything and everything random.

In other words, as is the point of this entire website, the geometric probability --and flat bet advantage found in every random series of anything-- is already predictable. Just follow the relativity in the digits of pi's geometric divisions.

Yet again, every random series --of anything-- is already, in the first instance of randomness, just a predictable duplication, complete with a flat bet advantage, of the relativity in pi and its divisions?!

These matters are easiest to understand with roulette. The critical first question: what's rotating?

The answer is a matter of relativity. Relativity is always in three geometric parts: 1) relative to gravity 2) relative to pi as gravity's language of its own random measurement 3) relative to life's perception. Each part represents one of the three parts of the randomly measured structure of gravity's straight line pull along a field or object or game's pi-angle (or "diameter").

The problem in understanding relativity and gravity is that we traditionally use a unit of measure (any metric unit of any length whatsoever) that matches our perception of two or more dimensions ...while the serial random measurement gravity is always delivered on one dimension.

Coming from gravity, randomness is always expressed in terms of relative pi, relative to gravity's straight line pi-angle (or "diameter").

It is expressed  . comes in three parts of geometric probability.

Each pi-angle has three poles of probability. Each pole contains the relativity of gravity. The first part/pole of relativity is meaningless. This is traditional random theory and Einstein's relativity. The second and third parts contain the relativity that paves the path to geometric probability, including the relativity of quantum science.

First. Relative to the "game" and the players and traditional random theory and Simon Laplace and Albert Einstein, all that is rotating is a circle or wheel. The "relativity" of a random event on the circle is meaningless. The event is already part of the circle. With the exception of Quantum Mechanics, traditional science and education is stuck at this level.

Second. This is the relativity of the Center of Rotation. As the COR of the game or circle, it is also meaningless. However, the COR also directly leads relative to 1/4 pi, relative to gravity's straight line pull through the field, object or game's pi-angle or "diameter." This is the length of the original Needle.

No other length of Needle or unit of measure contains this dual random relativity. This is what was lost in the French Revolution. Relative to a series of random measurements, a circle is simply the algebra of 1/4 circle multiplied by four. By the proof of the original Needle, 1/4 C is also relative 1/4 pi, relative to the diameter. It is a point of random convergence. What's rotating is both a circle (or 1/4C) meaninglessly relative to the game of a circle to which it is already a part ...and relative 1/4 pi, significantly relative to the circle's COR and diameter.

Relativity cannot be found without using the original Needle as the unit of measure.

Third. The third level of relativity is directly a part of gravity. Its gravitational value of geometric probability is only found with "action at a distance." It is found at the predictable relative pi-angle pole. Its relativity is meaningless relative to the pi-angle it is already a part of, but significantly relative to the circle we perceive. This is the magic of Quantum Mechanics.

The result of "action at a distance" is a predictable geometric event that should otherwise be "random" under traditional random theory but contains a flat bet advantage when sought with the relativity within the geometric finesse of "action at a distance." The event is meaninglessly relative to the pi-angle since it is already a part of the pi-angle ...but is simultaneously significantly relative to the circle it appears on in complete contradiction of traditional random theory. The significance is the "payoff." The significant relativity between the pi-angle and the circle of pi (the "game") is that the circle pays off the "action at a distance" geometric event of 1/6 pi though it was 1/4 pi under traditional random theory?!

It is here that that theoretical physics meets the quantum sciences. The study of "physics" is the study of physical nature. No matter how small the particle, it is essentially a study of chemistry. The study of "mechanics" is the study of random motion. While it is readily assumed that mechanics is a study of how physical things move (the quadrature of traditional random theory) Rudjer Boskovic, the father of atom theory, had a profoundly different take.

Boskovic was a priest and Jesuit. He couldn't push his theories too far or hard since he knew he would be walking on religious thin ice if he used "actio in distans" and admitted the flat bet advantage. He could have been excommunicated. To Boskovic (and to Cracking Pi) the mechanics of an event were the movement of its probabilities, not the movement of the perceived object itself. That is, the random identification of an object's probability valued at 1/4 pi and its movement and transition to 1/6 pi (or 1/2 pi: the results are the same) with "action at a distance."

It is in the relativity between relative 1/4, relative to the diameter ...and relative 1/6 pi, relative to the circle (wheel or "game") that string theory unravels the tangled ball of quadrature.

Relative to the randomness of a game of quadrature (all "games" are games of quadrature) all that is rotating is a circle of quadrature.

Relative to the randomness of gravity, all that is rotating is a series of geometric probabilities that are as invisible as gravity itself. They may only be "seen" statistically.

The key to the string grail is the original Needle. The extension of the original Needle's formula with "action at a distance" (with critical focus on the inherent geometric finesse) combined with the factor of direction, randomly and geometrically delivers the mathematical proof of a string theory.

Each bead of the string is a fraction of geometric probability. Each bead is the average of two random events (the original Needle). Each bead has a random value: relative 1/4 pi. This is the proof of the original Needle. Each bead is a random event. Each event is a fraction that is the original Needle’s length. Each random event is the universal random average: relative 1/4 pi, relative to gravity's straight line pi-angle pull.

It is the relative nature of the three poles of pi-angle that holds the three pole matrix of geometric probability on which the relativity proof of string theory rests. To find and prove it requires the geometric finesse within "action at a distance." This gravitationally contrasts with the quadratic nature of the four pole matrix of algebra that would result without "action at a distance." Paradoxically, the same matrix of geometric probability (the mathematics of the original Needle and traditional random theory) is the perceptual algebraic foundation upon which "action at a distance" does its action.

Pi is a geometric event that we interpret as both the circle and the Center of Rotation. We perceive and describe them with the quadratic algebra of the decimal system.

With "action at a distance," gravity's random geometric probability rules over the random quadratic algebra of perception. The relative difference is the flat bet advantage: .16666.... .

On a roulette wheel, the difference is between the original Needle valued at relative 1/4 pi ...and the result of "action at a distance" which, at the third random trial, tends to change the expected relative 1/4 pi, relative to the diameter relative 1/6 pi (or relative 1/2 pi) relative to the circle.

Since these matters of relativity are expressed entirely in a decimal (100 parts) description of pi, the same relativity must obtain, complete with a .16666.... flat bet advantage, between the first 100 digits of 1/4 pi and the first 100 relative digits of 1/6 pi (as well as between the first 100 digits of 1/4 pi and the first 100 relative digits of 1/2 pi). The digits of pi are ignored by the geometric finesse in "action at a distance."

The string of relativity between relative 1/4 pi and relative 1/6 pi leads to the odds of pi. At the end of the string of 100 relative digits is the flat bet mathematical gaming advantage: .16666.... (see below and within).

By the deductions and inferences of Einstein's EPR (Einstein/Podolsky/Rosen Paradox) challenge to Quantum theory, here is a complete description of physical reality insofar as Einstein's inference concerning the prediction of the geometric probability of gravity's random spin.

That is, in the very title of his EPR, Einstein said Quantum theory cannot be a complete description of physical reality. Roughly expressed, Einstein's argument and general reasoning was that otherwise Quantum Mechanics could predict the random time and place of a particle.

Since Bell's Theorem backfired the EPR on Einstein's relativity theories by successfully predicting random particle spin, it may be concluded that the successful prediction of random spin is, by Einstein's own reasoning, a complete description of physical reality.

As will be shown, this is probably not a complete description ...but it does appear to satisfy the present grail of randomness and mechanics ...and opens the door to a world of further wonders in this dimension of pi.

Here is a mathematical description of Einstein's vision, as expressed by the proof of a string theory. It uses the original Needle and its extension with "action at a distance" (that is: the geometric finesse). It also factors random direction.

Let it be understood and given that it is irrelevant how many pockets are on the wheel. These matters are dimensional. Relative to randomness, there are only two dimensions: the gravitational geometric probability of the pi-angle reality of a diameter ...and the perceptual algebraic quadratic reality of the mathematical perception of a cross diameter.

In other words, it is irrelevant how many pockets are on the "game" of any given wheel. Dimensionally, there are only 4. These are the two gravitationally real opposing poles of a diameter (or "pi-angle") and the two opposing cross diameter poles that lack gravitational reality and only exist as a perception of mathematical averages.

The gravitational reality of any "game" only exists as the two opposing diameter poles identified by the original Needle. They may be visualized as the diameter end poles of a circle subscribed by the parallel lines of the original Needle. The parallel lines are the limits of the field. The diameter is the shortest distance between any two adjacent lines. The circle touching two adjacent parallel lines is the "game."


This formula for the original Needle is the probability of the random drop of its length as the universal random average (relative 1/4 pi or 1/4 C) cutting any of several equidistant parallel lines. This exactly reflects the probability of a random Roulette ball landing in either of two opposing pockets on the pi-angle of a Roulette wheel. That is: .50 .

• Let “2” = the complete possibilities of two random measurements or drops of the Needle
• Let “L” = original Needle’s length = 1/4 C = relative 1/4 pi = universal random average
• Let pi = 3.14159....
• Let d = diameter (or pi-angle) = C / pi = (pi / pi) = “1.”.

((pi + pi) (1/4 pi)) / ((pi) (pi / pi)) = .50 
• Let “pi + pi” = two random measurements.

(2L / pi d) / 2 directions = .25 .
This is the random geometric probability of the Needle cutting a parallel line in a particular direction, exactly like the algebraic possibility of a Roulette ball landing in a particular pocket on a 4 pocket Roulette wheel.

(((pi + pi) (1/4 pi)) / ((pi) (pi / pi))) / ((pi + pi) / (pi / pi)) = .25 .
• Let “(pi + pi) / (pi / pi)” = two directions = the possibility of two relative directions, on a field of two possible directions, over two random measurements, with the geometric certainty of one direction.

(2L / pi d) (d / 3r)) / 2 directions = .16666.... .
• Let r = radius = 1/2 d.

(((pi + pi) (1/4 pi)) / ((pi) (pi / pi))) ((pi /pi) / ((pi + pi + pi) (( pi/pi) / (pi/ pi) + (pi / pi)))) / ((pi + pi) / (pi / pi)) = .16666.... .

[The numerator of the foregoing formula is continuous on a wider page. The only denominator is: the algebraic possibility of two directions factored by the geometric certainty of one direction: “((pi + pi) / (pi / pi))”.]
• Let 3 = three random measurements of all possibilities = (pi + pi + pi).
• Let r = a radius of the field = 1/2 a diameter = a diameter divided by two possibilities = (pi / pi) / ((pi / pi) + (pi / pi)) = .50 .  

There is one fraction of relative 1/4 pi in the string formula for the gravity bet and 20 fractions of pi.

Since pi is only an algebraic statement of relative 1/4 pi multiplied by 4, the more correct geometric expression is a string structure of 81 fractions of: relative 1/4 pi.

When the pi-odds string of relative 1/4 pi, relative to gravity, is factored into gravity, the quotient is the DNA of that with which we both perceive and describe gravity and percentage.

That DNA consists of the decimal system and the 10 numbers (zero through nine) with which we express it. That is: 1/81 = .01234567890.... repeating to infinity.

Einstein was also almost correct that predicting random particle behavior would be a complete description of physical reality (or at least cross the threshold to a new dimension). The evidence is in the flat-bet advantage of .16666.... . It is universal and is found throughout these investigations into randomness using a finesse methodology.

Despite Einstein's inference that the success of Quantum Mechanics would not be a complete description of physical reality, the .16666.... advantage of Quantum theory and the "pi-odds" formula is only the mathematical difference, expressed as geometric probability, between perception and gravity. It allows perception to be defined as pi (more precisely: a string of relative 1/4 pi) and gravity defined: "1.".

The foregoing section, "Deconstructing Pi" puts this theory to the test.


More Articles...