Institute of Cosmological Economics > Home Page Institute of Cosmological Economics > About ICE Institute of Cosmological Economics > Make an Enquiry Institute of Cosmological Economics > Where to Begin? Institute of Cosmological Economics > Website Guide & Map Institute of Cosmological Economics > Bookstore Search Institute of Cosmological Economics > Website Search Institute of Cosmological Economics > ICE Bookstore Index Institute of Cosmological Economics > Contact ICE Institute of Cosmological Economics > What`s New? Institute of Cosmological Economics > Showcased Authors Institute of Cosmological Economics > Important Authors Institute of Cosmological Economics > Important Titles Institute of Cosmological Economics > Research & Study Guides Institute of Cosmological Economics > Information Centre Institute of Cosmological Economics > Discussion Forums Institute of Cosmological Economics Study Guides > Gann Theory Institute of Cosmological Economics Study Guides > CosmoEconomics Institute of Cosmological Economics Study Guides > Technical Analysis Institute of Cosmological Economics Study Guides > Financial Astrology Institute of Cosmological Economics Study Guides > College Programs Institute of Cosmological Economics Study Guides > Day Trading Institute of Cosmological Economics Study Guides > Swing Trading Institute of Cosmological Economics Study Guides > Position Trading Institute of Cosmological Economics Study Guides > Long Term Investing Institute of Cosmological Economics Study Guides > Risk Management Institute of Cosmological Economics > Article Index Institute of Cosmological Economics > Where to Begin? Institute of Cosmological Economics > Website Guide Institute of Cosmological Economics > What Is CosmoEconomics? Institute of Cosmological Economics > Origins & History Institute of Cosmological Economics > The Foundations Institute of Cosmological Economics > The Proof - Forecasts Institute of Cosmological Economics > ICE Mission & Activities Institute of Cosmological Economics > ICE Scholar Biographies Institute of Cosmological Economics > Research & Study Guides Institute of Cosmological Economics > Article Submissions Institute of Cosmological Economics > Book Submissions Institute of Cosmological Economics > ICE in the Press Institute of Cosmological Economics > Frequently Asked Questions Institute of Cosmological Economics > ICE Bookstore Index Institute of Cosmological Economics > Author Index Institute of Cosmological Economics > Category Index Institute of Cosmological Economics > Research & Study Guides Institute of Cosmological Economics > Markets & Trading Institute of Cosmological Economics > Scientific Books Institute of Cosmological Economics > Metaphysical Books Institute of Cosmological Economics > Showcased Authors Institute of Cosmological Economics > Important Authors Institute of Cosmological Economics > Important Titles Institute of Cosmological Economics > Popular Titles Institute of Cosmological Economics > Classic Titles Institute of Cosmological Economics > Gann Reading List Institute of Cosmological Economics > Baumring Reading List Institute of Cosmological Economics > Translation Society Institute of Cosmological Economics > Software & Systems Institute of Cosmological Economics > Subscription Services Institute of Cosmological Economics > Showcased Authors Institute of Cosmological Economics > Showcased Author - W. D. Gann Institute of Cosmological Economics > Showcased Author - Daniel T. Ferrera Institute of Cosmological Economics > Showcased Author - Dr. Lorrie Bennett Institute of Cosmological Economics > Showcased Author - Dr. Jerome Baumring Institute of Cosmological Economics > Showcased Author - Catalin Plapcianu Institute of Cosmological Economics > Showcased Authors - Muriel & Louis Hasbrouck Institute of Cosmological Economics > Showcased Author - Dr. Alexander Goulden Institute of Cosmological Economics > Showcased Author - Daniele Prandelli Institute of Cosmological Economics > Showcased Author - Timothy Walker Institute of Cosmological Economics > Showcased Author - Gordon Roberts Institute of Cosmological Economics > Showcased Author - L. David Linsky Institute of Cosmological Economics > Showcased Author - Sean Erikson Institute of Cosmological Economics > Showcased Author - Eric Penicka Institute of Cosmological Economics > Important Authors Institute of Cosmological Economics > Important Author - Solastro Institute of Cosmological Economics > Important Author - Sepharial Institute of Cosmological Economics > Important Author - George Bayer Institute of Cosmological Economics > Important Author - Robert Rundle Institute of Cosmological Economics > Important Author - Andrew Pancholi Institute of Cosmological Economics > Important Author - George McCormack Institute of Cosmological Economics > Important Author - Donald Bradley Institute of Cosmological Economics > Important Author - Edward Dewey Institute of Cosmological Economics > Important Author - T. G. Butaney Institute of Cosmological Economics > Important Author - Richard Scott Institute of Cosmological Economics > Important Author - Bill Meridian Institute of Cosmological Economics > Important Author - Hans Kayser
Applied Gann Theory
 Applied Gann Theory
 Applied Gann Theory
There are two quite different sides to Gann analysis, the deeply theoretical, seeking to understand the essence of the science behind Gannís market theory, the Law of Vibration, and the outright practical, looking for working tools and techniques that will help with applied trading. Though our greatest interest is in the cosmological theory behind Gannís work, and the universe in general, we also specialize on the practical tools that traders need to specifically analyze and trade the markets. Some Gann experts excel at theory, while others are simply practical traders who are less focused on ideas in deference to trading techniques. This category will specifically focus upon the books and courses that provide very specific and applied tools from Gannís toolbox used for real time trading. Some may explore deeper theoretical principles and some may just focus on pure trading tools, but this category will give working techniques to better fill the arsenal of any trader. We often recommend that new Gann students focus first on developing a practical trading ability, so that they can fund their future research with profits from their trades, and then also apply new insights from their theoretical study to their practical trading as they advance. This section will help to identify those most practical tools.
Daniel Ferrera
Daniel Ferrera
Daniel Ferrera
Dan Ferrera is one of the most respected market analysts and educators in the Gann field. For 20 years his works have been some of the most popular in our catalog. Aside from being one of the clearest interpreters of Gann, he also has produced his own advanced work, The Spirals of Growth & Decay, developed prior to his analysis and presentation of Gannís theories. For those seeking a solid, Masterís Degree level education in technical Gann analysis, we cannot recommend anything more highly than Ferreraís works.

Ferrera has written detailed course on every angle of Gannís work and provides a fast track into a deep understanding of each field of Gannís work as well as advanced topics in technical analysis. He has works on cycles analysis, Gannís Square of 9, Gannís Mass Pressure Charts, one on risk management and Gannís swing trading system, another on the details of Gannís complex geometrical and mathematical tools, one on astrological Bible interpretation, on teaching how to create yearly forecasts like his own yearly Outlooks, which give a prediction for each year, and more. If you are wanting to get a first taste of Gann and to save yourself years of hard work putting together his ideas, Ferrera is a perfect place to start, and walking through his series of fantastic is like getting a Masterís degree in Gann and technical analysis.
Pause Start Back Next Showcased Authors Important Authors Important Titles Popular Titles Classic Titles Translation Society Titles
History’s most intriguing financial analyst, forecaster and trader, W. D. Gann produced a 10,000% return with a 93% success rate in an audited 1909 interview. Gann said his market theory was based upon the Law of Vibration, leading scholars and analysts on a 100 year intellectual quest deep into  theoretical physics, alternative science and esoteric philosophy, seeking to understand a cosmological ordering system linking the financial markets to the influences of natural science.
Our most popular author, Dan Ferrera is a master of making complicated ideas easy to apply. His 9 courses present KEY elements of Gann Theory & Technical Analysis including Time Cycles, the Square of 9, Periodicity, Price Structure, Swing Trading and Risk Management, providing advanced tools for the average trader. His popular Yearly Outlook provides a fascinating and accurate analysis of market action.

Dr. Lorrie Bennett is one of the only Gann experts to have cracked the Law of Vibration! After 20 years of grueling research she discovered a complex code in Gann's texts which led her to the full solution. Following in Baumring's footsteps, Dr. Bennett lays out the science behind the Law of Vibration in an intensive 4 Volume Advanced Series revealing the Patterns, Numbers, Planets & Geometry behind Gann's secret trading system.

Dr. Baumring is the only known person to have fully cracked W. D. Gann’s full Cosmological System! He reproduced Gann’s results, forecasting markets within 3 minutes of turning points. He extended Gann’s Law of Vibration into DNA Coding, Chaos Theory, & Topology, creating multi-dimensional, mathematical models of the markets, proving them to be a fully Deterministic System. The deepest Gann research sourcework ever compiled.

A Cambridge scholar who, intrigued by the challenge of Gann’s esoteric work created a powerful set of technical tools based upon principles of Ancient Geometry, Celestial Mechanics, and Pythagorean Harmonics, which project Price, Time & Trend with exact precision. His 2nd course applies the Secrets of Ancient Astrology to forecast market turns & trends more accurately than the best works on Financial Astrology preceding it.
Cutting edge Space & Solar Researchers, Muriel & Louis Hasbrouck’s Space/Time Forecasting techniques are STILL more advanced than those of NASA or the current scientific community. The Hasbroucks produced 50 years of Market Forecasts with a 90% accuracy rate and were able to forecast Space Weather, Earthquakes & Geomagnetic Storms. Their advanced techniques develop a new Theory of Space Time Field Forces & Influence.

A penetrating researcher after Baumring’s lead into the core of Gann’s Cosmological System thru cracking Gann’s Squaring of Price & Time. Quantifies the mechanics of Gann’s innermost system demonstrating how markets move in multi-dimensional Space/Time. Includes new and sophisticated trading algorithms which generate 4000% annualized returns, mathematically proving the markets to be an Absolute Deterministic System.

Prandelli's work is very popular with swing traders due to the usefulness of his Gann tools which project Key Price Levels and Cyclical Turning Points. His courses present practical tools using Gann’s Planetary Longitude Lines and Master Time Cycle which combine with his KEY Risk Management & Trading Strategies to produce10-15% monthly returns consistently. His Yearly Forecast Bulletin provides his ongoing trading signals & strategy.

A profit generating Trading Strategy using Gann's best approach of Leveraged Position Trading to produce large profits from small capital using a powerful secret Options Strategy that maximizes profits through high leverage while greatly limiting risk exposure. Based upon Gann’s book, Profits In Commodities and the author's 20 years experience in Gann research and trading, this method is excellent for busy people with small capital.

A detailed exploration and analysis of W. D. Gann’s Mechanical Trading System illustrating Gann's trading strategy over a period of 15 years. Gann turned $3000 into $6 million over this period, producing a 1400% return in the first 8 months alone. This study provides the foundation that Gann required for ALL of his students before learning to forecast. These techniques still work today producing 570% return in the S&P in 2014 in 3 months!

Sean Erikson, a trader and fund manager with 25 years’ experience, provides a set of powerful astro-tools for advanced swing trading based upon celestial mechanics. The key tool uses an astronomical component which consistently and beautifully predicts the angle of attack or slope of a forthcoming trend. This is combined with a simple astro-timing tool which indicates the next 1-3 turns out and a geometrical price projection tool which provides the two most probable price projections for each move.

The solution to Gann's Law of Vibration from the 1909 Ticker Interview. Penicka analyzes Gann’s exact words correlating them with the cutting edge science of Gann’s day to develop a system which identifies the “mathematical points of force” behind all market action. The Periodic Table of Elements determines a system of order based upon atomic structure which generates a master number set for each market defining its structure in price and time.
W.D. Gann Works
W.D. Gann Works
W.D. Gann Works
W. D. Gannís private courses represent the most important of all of Gannís writings, and go into much greater detail than his public book series, with which most people are only acquainted. They should be carefully studied in their full detail, as they contain the deepest insights into Gannís theories ever presented. Stock traders must be sure to study all the commodity courses and vice versa, since Gann often put techniques that applied to all markets in only one or another course.

We stock the complete collection of the works of W.D. Gann, both his courses and books. Our set of Gannís courses were initially collected and compiled by Dr. Baumring and Donald Mack in the 1980ís from dozens of original rare private course that were distributed by Gann throughout his career. Many people mistakenly think that Gann just wrote two courses called the Master Stock Course and Master Commodity Course. This couldnít be further from the truth! Each of Gannís ďcoursesĒ were actually small, ďsectionsĒ of a few pages to a few dozen pages, individually bound in paper folders. These various pieces were then compiled into different sets which he sold as various collections at different prices to different students over the decades. Some were more commonly sold to all students, while other were more secretive and sold only to close private students who often signed non-disclosure agreements, and paid exorbitantly high prices. It is these rarest pieces that make the difference between one collection and another.

The later courses Gann sold in the 1940ís and that he ďcalledĒ the Master Courses were nothing but various compiled collections of these smaller pieces, and would vary according to who purchased them and what price they paid, and were never set until after Gannís death when purchased by Ed Lambert. For instance, there are pieces that Gann advertised in the 1950ís as ďnewĒ like his Master Mathematical Formula for Market Predictions, or his rare #3 Master Time Factor Course which were never included in his ďMaster CoursesĒ, and similarly were never included with any of the Lambert Gann courses sold by Lambert or the Jonesí from the 60ís until now. So these ďmasterĒ courses are and have always been incomplete collections. Further, the Lambert Gann courses sold by Billy Jones through the turn of the century, were retyped and re-edited by Billy so that they did not provide the original unadulterated content that Gann produced, making them unreliable, edited versions. Our editions are exact facsimiles of the original copies sold by Gann, with no editing or adulteration of any kind.

Our 6 Volume set of Gannís Collected Writings was further supplemented by new finds of rare pieces, like those mentioned above, rediscovered by the Institute over the past 30 years since Baumringís death, and comprises the most complete and the only properly organized set of courses that are available. Gann has very particular sets that he sold only to his higher end clientele, placed in specific order to provide a particular logic to his work. Our collection maintains this order and includes a further collection of rare and historical courses, letters and private materials which make our collection the most complete and important collection available. Serious students of Gann should beware most ďsupposedĒ collections of Gannís writings as most are unauthorized, incomplete, and distorted representations of his work, and cannot be trusted. Our set it the most reliable set of Gannís unadulterated and most important work availableÖ
Gann Theory
Gann Theory
Gann Theory
While W.D. Gannís own original work is a critical element for any Gann researcherís collection, most people will find Gannís work to be extremely vague, complicated and difficult to penetrate on their own. In our experience, it can take many years, if not decades for the ordinary analyst to, by themselves, digest and apply the deeper techniques of Gannís, without significant help by well-seasoned analysts and traders who have dedicated years to decoding and creating practical tools from Gannís techniques. This is why there is a fundamental and valuable secondary market of works presenting and developing Gannís ideas, and making them accessible to any trader. We believe that the best teachers in this field are not competitors, but are fellow contributors to an ongoing field of research, and that their work is mutually supportive and will provide expanded insights when more material is understood.

We maintain the largest collection of secondary works on Gann Theory of anyone in the field. Many of these books we publish ourselves, and are written by top Gann experts and experienced Gann traders from across the world. However, we also review works written by other Gann experts across the field, and add to our catalog any material we consider to be of high quality and importance from the global community of Gann analysts. With our experience in the field, we are well qualified and to provide a peer review of these materials, so as to filter out the best quality work from that of a lower caliber, and then present these to our clientele who demand the highest standards. So any book or course that you find in this catalog can generally be considered to be of the upper echelon of works on Gann analysis. We have new authors submit their research to us ongoingly, so that we are always adding new items to our catalog with fresh insights, alternative techniques or new ideas. In this way we are able to save our clients significant wasted funds in exploring the territory at their own cost.

Sample Texts - The Law Of The Cosmos The Divine Harmony According to Plato’s Republic – Timaeus: The Platonic Riddle of Numbers Newly Solved and Illustrated

A Translation Society Edition

by Eberhard Wortmann

Author's Foreword

Only with reluctance does the Author bring to public light the results of a 9-year search for the solution to the Platonic number riddles. He is aware that, not being an expert in this field, he is in an awkward position from the viewpoint of the orthodox sciences. So many people, specialists and laymen alike, have fantasized about these number riddles, that nowadays any dealing with this material is often dismissed with a shrug. The Author would never have attained the results that follow if he had wasted his time studying authoritative sources and allowing them to lead him down the wrong path, especially (for reasons that will become obvious later) because in the literature at our disposal, anything that could have facilitated the task of solution had been completely destroyed. The only practicable method was that of logical thought, applying mathematical and especially geometric formulae, most of which had to be rediscovered first. Only after the preliminary completion of the solution did the Author find corroborations and references useful for the clarification of the remaining mysterious points in authoritative publications, especially those of the church fathers.

Nevertheless, the Author would never have succeeded in achieving these results had he not been constantly led forward, step by step, in a way incomprehensible to him. He remembers certain decisive turning points at which, almost without his participation, he was guided around obstacles which would otherwise have led him to fail miserably.

The Author is far from being above receiving suggestions for improvements —the better is the enemy of the good here as well— because hardly a week passes by without the necessity for major or minor changes. However, it is assumed that one observes those rules of the game which are known indisputably to be valid. Here it should be mentioned that the Platonic number riddles are really games, logical games of thought, “glass bead games,” as the great writer and great man Hermann Hesse calls this kind of mental occupation. May this publication bring to wider circles something of that which made the Author enjoy his task so greatly: revelation by means of number, and thereby the certainty of the existence of the divine!

- Eberhard Wortmann



The Master [Socrates] passed on the flame of Prometheus. In Plato it grew to gigantic brightness.
– Frank Thiess, Das Reich der Dämonen

Jesus & Plato

Jesus has not eaten from the tree of knowledge. He who has done that will not have peace within himself. He will strive onward, he needs the mediator to the divine, Eros. Jesus is not qualified to be such a mediator, because he does not know this longing. He cannot replace Plato.
– Ulrich von Wilamowitz-Moellendorf, Der Glaube der Hellenen

Plato & Geometry

This was the state of affairs when Plato came into Sicily ... There was a general passion for reasoning and philosophy, insomuch that the very palace, it is reported, was filled with dust by the concourse of the students in mathematics who were working their problems there. [Geometric figures were drawn in the dust.]
– Plutarch, Dion.1

The Annihilation of Ancient Authoritative Works

...But those works were thought devoid of interest or even dangerous by the devout Middle Ages, and they are not likely to have survived the fall of paganism.
–Franz Cumont, The Oriental Religions in Roman Paganism.2

The Platonic Riddles of Numbers are Glass Bead Games

In the end it depends on the choice of the historian how far back he wants to put the beginning and prehistory of the Glass Bead Game ... As an idea we find it ... already performed in earlier ages, e.g. by Pythagoras. ... The same eternal Idea was the basis of every movement of the mind towards the ideal goal of a Universitas Litterarum, of every Platonic Academy, of any congregation of a spiritual elite, every attempt to approximate the exact and the free sciences, every attempt to reconcile science with art, and to reconcile art or science with religion.
– Herman Hesse, The Glass Bead Game.3
Thanks to the glass bead game player!
– Herman Hesse, to the Author.


The work of solution began with the riddle in the Republic. At an advanced age, the Author came across Plato’s Republic—known as Der Staat in the German-speaking world, Politeia in the original Greek. In reading it, he got only as far as the number riddle in book VIII, and then did not rest until he had found the solution. Since he had just “coincidentally” been studying the right triangle with sides of ratio 3 : 4 : 5, the so-called “Egyptian triangle”—an astonishing entity, if one considers that any flat surface can be divided into isosceles triangles, and these further divided into right triangles, of which the smallest is the Egyptian triangle, which also has numerous unique features—he immediately saw that the solution was within reach, since the text of the riddle makes it quite clear that it concerns a pyramid. Only after the final solution, taking into account all the subtleties—which took him a year—did the Author realize the great importance of the solution and hear of a well-endowed competition, which had caused a great stir at the time and which, despite lively participation, had not brought about a solution satisfactory to all sides.

The resulting disenchantment caused interest in the solution of the riddle to fade. Many people even became convinced that there was no solution. Plato, they said, only wanted to make people interested in him, by virtue of his supposedly possessing a secret formula for running a state, so that he would be remembered favorably and recommended for high office. But in fact, Plato had already given up his political ambitions at that time. He “squatted in the corner with a few youths,” as his opponents said, and devoted himself exclusively to the task of setting up an ideal that could never be realized and is therefore eternally valid, the Ideal State, the first of many such utopias.

One will see that this riddle concerns ancient thoughts, and that every detail, even the smallest, emerges of itself.

The Riddle of Numbers in the Republic

A city which is thus constituted can hardly be shaken; but, seeing that everything which has a beginning has also an end, even a constitution such as yours will not last for ever, but will in time be dissolved. And this is the dissolution:—In plants that grow in the earth, as well as in animals that move on the earth's surface, fertility and sterility of soul and body occur when the circumferences of the circles of each are completed, which in short-lived existences pass over a short space, and in long-lived ones over a long space. But to the knowledge of human fecundity and sterility all the wisdom and education of your rulers will not attain; the laws which regulate them will not be discovered by an intelligence which is alloyed with sense, but will escape them, and they will bring children into the world when they ought not.

Now that which is of divine birth has a period which is contained in a perfect number, but the period of human birth is comprehended in a number in which first increments by involution and evolution (or squared and cubed) obtaining three intervals and four terms of like and unlike, waxing and waning numbers, make all the terms commensurable and agreeable to one another. The base of these (3) with a third added (4) when combined with five (20) and raised to the third power furnishes two harmonies; the first a square which is a hundred times as great (400 = 4 × 100), and the other a figure having one side equal to the former, but oblong, consisting of a hundred numbers squared upon rational diameters of a square (i.e. omitting fractions), the side of which is five (7 × 7 = 49 × 100 = 4900), each of them being less by one (than the perfect square which includes the fractions, sc. 50) or less by two perfect squares of irrational diameters (of a square the side of which is five = 50 + 50 = 100); and a hundred cubes of three (27 × 100 = 2700 + 4900 + 400 = 8000).

Now this number represents a geometrical figure which has control over the good and evil of births. For when your guardians are ignorant of the law of births, and unite bride and bridegroom out of season, the children will not be goodly or fortunate ... In the succeeding generation rulers will be appointed who have lost the guardian power of testing the metal of your different races, which, like Hesiod's, are of gold and silver and brass and iron.

– Plato, Republic VIII, 546

The Solution of the Republic Riddle

The perfect number: was six in ancient times, because 1 + 2 + 3 = 6 and 1 × 2 × 3 = 6.

The number for human births: “in which first increments,” “3 intervals” = 3 number values, “4 terms” = 4 powers, “combined” = multiplication, the 1st power is not a multiplication.

1, 2, and 3: not possible, because with the 1, no multiplication can be performed.

2, 3, and 4: not possible, because 2 = √4, 4 = 22

3, 4, and 5 are the first numbers that meet the requirements mentioned once in the text.

3 × 4 × 5 = 601

× × ×

3 × 4 × 5 = 602 (= 3600) 1st multiplication

× × ×

3 × 4 × 5 = 603 (= 216000) 2nd multiplication

× × ×

3 × 4 × 5 = 604 (= 12960000) 3rd multiplication, the Platonic number

The first proportion: “a square which is a hundred times as great” = the Proportion of Time.

√(12960000/100) = √129600 = 360. The circle has been divided into 360° ever since the time of the ancient Sumerians.

1st “circle rotation”: the day-circle, 1° = 4 minutes. 2nd “circle rotation”: the year-circle, 1° = (ca.) 1 day. 3rd: 100 years.

The “marriage number”: 60 × 4 minutes = 4 hours – the 4th hour of the morning is the most auspicious time for begetting. 60 × 4 hours = 10 days – the 10th day after beginning of menstruation is the best time for conception. 60 × 10 days = 20 months – 20 months after one birth is the earliest time for the next birth. 60 × 20 months = 100 years: only every 100 years, every 4th generation, the birth of a strong personality can be expected in a family.

The second proportion is that of space, because we calculate here in terms of “sides,” directions, and “diagonals.” With the shortening of a diagonal, the area must likewise decrease. The regular shortening of a diagonal yields a pyramid (see Figure 1a).

If we want to use the Platonic number (604) in a pyramid, we can use 60 (=601) as the base side. The base area is then 602. For the height, however, we must use 3 × 60 (pyramid formula = a × b × 1/3 × h) and obtain 603 as the spatial content (volume).

The fourth power of 60 (604) can only be sought in the building blocks (cuboids). Side a = 3, side b = 4, side c (=height) = 5, because 3 × 4 × 5 = 60 (Figure 1b).

But through this, the measurements of the pyramid change: a = 60 × 3 = 180, b = 60 × 4 = 240, c (= h) = 3 × 60 × 5 = 900 (Figure 1c). The pyramid is then equilateral in one direction (vertical section), “but longer in the other” (horizontal section).

The side ratio 3 : 4 : 5 is that of the so-called “Egyptian triangle.” A perfect example for the Pythagorean Theorem for the right triangle: a2 + b2 = c2, therefore 32 + 42 = 52, 9 + 16 = 25, √25 = 5 for the side opposite the right angle (the hypotenuse), when the short leg (a) is 3 and the long leg (b) is 4. The two legs then form a perfect right angle (Figure 1d).

The base of the pyramid sides a 3 × 60 (= 180) and 4 × 60 (= 240) therefore has a diagonal of 5 × 60 (= 300) (Figure 1e).

“A hundred numbers squared upon rational diameters of a square, the side of which is five, each of them being less by one” = the inclination of the pyramid edges = 1 : 3.

“Less by two perfect squares of irrational diameters” = inclination of the pyramid sides, 180 + 240 + 180 = 600 = 1 : 6. One side can be determined if three sides are given.

Edge length and side height yield irrational numbers (with infinite fractions) which are elegantly described thus.

“And in the other direction (i.e. horizontally) a hundred cubes of three.” The base area = 60 × 60 cornerstones = 3 × 4 × 3600 = 43200. 3600/100 = 36 cornerstones, 43200/100 = 432 as area. Three cornerstones are stacked and fastened with pegs in previously bored holes = 1 column; 36 columns, connected at their sides in the same manner, form one building block (see Figure 1f).

Thus the pyramid becomes a step pyramid, whose calculation must follow different principles (see page 10). The calculation in terms of “columns” is performed specially for each step, and this calculation converted into building blocks (= number of columns divided by 36) yields 55 remaining columns per story for stories I through IX (for every 6 steps) which must be discarded. 55 = the sum of the cardinal numbers from 1-10, and also the sum of the squares of the numbers 1-5, that is 12 = 1, 22 = 4, 32 = 9, 42 = 16, 52 = 25. In every five steps of stories I, III, IV, VI, VII, and IX, the columns are discarded in this sequence, but in every 5 steps of stories II, V, and VIII they are discarded in reverse sequence, calculated from above 52, 42, 32, 22, 12. This can be described as a true numeric marvel.

We use of the removal of these columns to create 9 huge gates, with peaks at the top in stories I, III, IV, VI, VII, and IX, and peaks at the bottom in stories II, V, and VII. Since the number of columns can be divided evenly by 36 in every 6th step, no columns are discarded there, so that the separation into stories becomes clearly apparent (see Figure 1g and Plate 2).

The apex of the pyramid (= story X) must yield 19 “columns.” Through the removal of 18 columns, the apex of the pyramid undergoes a decorative rearrangement. The 19th (topmost) column must be (alternately) removed from the floor of story X, because no more columns can be removed symmetrically. This fact will later be of special importance (Figure 1h).

In order to compensate for the difference in volume between the step pyramid and ideal pyramid, even more columns must be removed from stories I through VIII. After subtracting the 55 columns for the gates, 288 (= 24 × 12) columns remain in story I, 252 (= 21 × 12) in story II, 216 (= 18 × 12) in story III, 180 (= 15 × 12) in story IV, 144 (= 12 × 12) in story V, 108 (= 9 × 12) in story VI, 72 = (6 × 12) in story VII, 36 (= 3 × 12) in story VIII, which must be removed, meaning in each case 3 × 12 = 36 fewer columns (1 building block). We use the removal of these columns to create inner spaces in these stories, whereby the constantly returning factor 12 represents the profile in width and height, and the other factor (= 3) represents the depth in column-depths. Where the peaks of the gates point upward, meeting rooms (great halls) appear, and where the peaks of the gates point downward, lecture halls (auditoriums) appear. In the former case, the profile has three steps (3 + 4 + 5 = 12 columns), in the latter case it has two steps (9 + 3 = 12 columns), whereby at any given time, 1 column is being dismantled into its three cornerstones, thus creating seating accommodation (Figure 1l and Plate 2). Staircases inside the pyramid link the inner rooms. For this, one building block is taken from the base step above the room, and dismantled into its 108 cornerstones, which are then placed in such a way that side 3 is the height of the step, side 4 the depth, and side 5 the breadth.

Number of cornerstones used:

For step A = 20, B = 19, C = 17, A + B + C = 56, for supports: D = 17, E = 35, D + E = 52, total = 108 cornerstones.
The height is therefore 30 × 3 = 90 = height of the story. The staircase follows the walls of the inner rooms and makes two 90° turns. Staircases of the above form correspond to the most extreme cases; in general far fewer cornerstones will be sufficient. Extra cornerstones are used for broadening the staircase, starting from the bottom (Figure 1j).

The grating in the background of the picture (see Plate 3) emerges from the base surface of the pyramid with the built-on squares of the two Egyptian triangles, with the addition of a four-square. The perpendicular cross beam (= 16 + 12 + 16 + 16 = 60; 60 × 602 = 603 or 216000) = twice the cross section of the pyramid. The horizontal crossbeam (= 9 + 12 + 9 = 30; 30 × 602 = 108000) = the cross section of the pyramid. The part of a tilted cross (“St. Andrew’s cross”) visible behind the standing cross has an area of 4 × 6 × 602 = 86400, which is twice the area of the base of the pyramid (43200).

Measuring units might be 1/2 foot, 1/4 ell = ca 15 cm, therefore height = 135 m, step = 2.25 m, stair = 45 cm.

Related Pages

Sign up for email NewsLetter Download Latest NewsLetter
$ (USD)
Institute of Cosmological Economics > ICE Forum index
Dr. Alexander Goulden
Dr. Alexander Goulden
Dr. Alexander Goulden
Dr. Goulden takes a different approach to market analysis than most normal traders and educators. As a Cambridge educated scholar, Goulden is interested in deep principles and in exploring the foundations and implications of both trading techniques and the systems behind them. Before he was ever interested in the markets, he was asked by a friend why Gannís tools and system are considered to be based upon metaphysical principles. He found this question intriguing and engaged in deep research in the field to answer this question. In this process he recreated a new set of tools based upon principles of Ancient Geometry and Celestial Mechanics. His tools are taken from the same sources as Gannís and are quite powerful, but are slightly different from Gannís, so that traders often use them as non-correlated cross-confirmation tools giving similar technical indications but from different perspectives.

His work is deep and has many layers of application and exploration that can be derived from it. His latest work on financial astrology, The Secrets of the Chronocrators, looks back to the astrological and astronomical systems of the ancients, reviving the more mathematical and technical astrology of the Great Masters of the medieval and prior times. Exploring principles like Spherical Astronomy and subtle movements of the Solar System, it seeks to develop a more advanced and scientific system of astrology determination as distinguished from the simpler forms that are generally known. It represents a new movement to re-explore the deeper scientific systems of the ancients that were lost in the press towards the development of a purely mechanical science.

Goulden is a superb educator and the most active Forum moderator that we have seen, with each of his Forums for his courses having 1000ís of posts with detailed questions and answers, deviling deeply into further and new fields of research beyond what is presented in his courses. His Online Forums serve as an advanced classroom where the details of his theories are discussed and elaborated and where students share their research and work with each other while overseen by Goulden, who continually presents new ideas and suggestions.
Hasbrouck Space and Time
Hasbrouck Space/Time
Hasbrouck Space/Time
One of our great historical discoveries is the Hasbrouck Space-Time Archives, a collection of rare research materials and forecast letters lost for over 30 years. This research develops a new theory of market influence based upon Solar Field Force Theory that was developed during the birth of the space age. The Hasbroucks were deeply connected to the esoteric and financial market communities from the 1920ís through the 1970ís, and contributed a new and recontextualized presentation of information taken from older original esoteric sources. They present a new field of study of solar phenomena, space weather prediction, earthquake prediction and market forecasting.

Muriel Hasbrouck was the inspiring force behind the research, which a foundation in Theosophy and trained as a classical pianist, she pursued an interest in original source works in astrology, through the turn of the 19th century into the early 20ís. She studies with greats like Walter Russell, Paul Foster Case, Aleister Crowley, and Israel Regardie within the esoteric fields. In the market realms she was close with many of the great analysts of her day like Edson Gould, Edward Dewey, Hamilton Bolton, SA Nelson, and more. She and her husband Louis produced a well-received forecasting letter for 30 years called Space Time Forecasting of Economic Trends, and are now quite famous for forecasting the exponential bull market of the 90ís and subsequent crash 50 years in advance! Their theories of Solar influence upon human and earthly experience through geomagnetic influences still lie at the cutting edge of scientific speculation.
Dr. Jerome Baumring
Dr. Jerome Baumring
Dr. Jerome Baumring
The work of Dr. Baumring is the core inspiration upon which this entire website is based. Baumring is the only known modern person to have cracked the code behind WD Gannís system of trading and market order. However, even further, Baumring rediscovered and elaborated the system of scientific cosmology at the root of Gannís Law of Vibration. There is absolutely no other Gann teaching that goes anywhere near as deep as Baumringís work, or that even so much as attempts to approach the core ideas developed by Baumring. This study is for those who are interested in the mysteries behind the markets and the ordering system behind the universe itself. This is the study of cosmological theory on its deepest level, and of the interaction between man and the cosmos in which he lives, explored through an examination of causation and propagation of forces in the financial markets.

Dr. Baumringís course program is not easy, and should not be approached without the willingness to commit at least a few years to the study. It is a long and detailed course, requiring the equivalent level of research and difficulty as most PhD programs, but in the field of Gann Analysis, which is not taught at any university. It requires many years of challenging work including the reading of many dozens (if not 100ís) of books required to develop the foundations needed to understand Gannís approach to the markets. It is a very serious study that should only be approached by those willing to dedicate themselves to intense thinking and vast research across many fields of knowledge including: astronomy, biology, physics, finance, cycles, wave mechanics, geometry, mathematics, astrology, numerology, number theory, numerous esoteric and alternative scientific theories, and much, much more. Baumring summarized his system by the term ďNumerical AstrophysicsĒ in an attempt to give a modern name to an ancient theory that Gann himself had discovered.

Of all the analysts and traders we have known, the most advanced have all come to their understanding through following the lead of Dr. Baumring, or through having gone through a similar and parallel study and path of research to his. His teachings represent the ďbest of the bestĒ of all material on Gann publicly available, but it will not give up its secrets to a mere superficial perusal. Baumring does not spell out simple explanations of how Gannís techniques work, but rather leads his students into the depth of the science behind the system, while slowly elaborating how the techniques build upon this deeper science. For those seeking a fast path to the application of Gann exoteric trading principles, this is NOT it! Baumringís work is not merely some market trading program, and indeed if approached this way may be found to be dissatisfactory.

Baumring himself often said to his students, ďIf you only are looking to make money, donít bother studying Gann, itís too difficult. Simply study swing trading systems, risk management and options strategies, and you can make all the money you want to make.Ē (Note: we have excellent books on these alternativesÖ) There are much easier and more direct methods to learn to effectively trade the markets than studying Gann. Those in more of a hurry to apply Gannís work to trading may want to begin with the work of Ferrera or one of our most applied analysts, like Prandelli or Gordon Roberts, and save the Baumring work for a later time to explore at your leisure.
Disclaimer Privacy Policy Terms and Conditions