| The Toth Diagram | 27 comments |
 19 Jul 2008 @ 21:22, by Max SandorThe Toth Diagram A binary. balanced graph with a depth of 4 levels will have 16 end leaves. If, as postulated by Steingrubner (1988), new branches rotate at 90 degrees with every binary split and we then make a cross section at the bottom level, we arrive at a diagram that I want to call the Toth diagram, in honor of my grandfather Janos Toth. It is a cross section of a graph following the Concur Principle (Steingrubner, 1990) which postulated that a perfect model of an entire Universe can be represented as a balanced binary graph and that the very same model also represents all possible events within that Universe if it were to be used as a finite state autamoton (postulating a structural identity of "object" and "method"). Furthermore, all laws of that Universe are enclosed in the transitions of the unfolding levels as an LLR grammar. The rotation at every level serves, amongst other reasons, is required to satisfy the orientation rules of basic fields in nature such as found in the laws of electromagnetics. It is with these rotations that one arrives from the originary binary code sequence at a 3-dimensional graph, the Toth diagram. The strength (or weight) of nodes in ConCur is determined by the length of their vertices, adding a movement in time, a 4th dimension. If regular, it could be compared to a "pulse" of the represented Universe. 
It was not until the late 90's that I encountered the vast knowledge contained in the Ifá. philosophy. Only the qualitative descriptions of the basic primal energies in Ifá, the sixteen "olodu", convinced me finally that in fact also our own Universe can be modelled as a Concur Graph of degree 4. To qualify as a complete model, it must contain an "axiomatic system" that leaves no part of the model unclassified. Already Philip Neimark ([link]) had arrived in the 90s at a condensed description of the sixteen Ifá principles or energies but to extract a more precise description that would satisfy as an "axiomatic system" took some more years during which I received much help and inspiration from Edward Dawson who then co-authored the book "Polar Dynamics 1" which, with all its pluspoints and drawback, still is the only book published that makes a serious attempt to "rationalize" the profound wisdom contained in traditional Ifá which until then was never systemized comprehensively. Some time after the publication of "Polar Dynamics 1", the importance of the four fundamental progressions of energies, the "olodu wheels" became apparent and it was included as an addendum to the Italian version of the book "Your Personal Archetype", the first comprehensive and intelligible collection of today's archetypes based on the analysis more than one thousand individual life paths, authored by Sandor, Dawson, and Miranda. 
What was still missing, was a way to see more of the principles of the interaction of the individual abstract prime energies and their combination into the complete matrix of 256 manifesting energies. The Toth diagram now opens a completely new way of looking at exactly that. A first look at the Toth diagram already demonstrates a few of the basic and most important laws that have been found empirically in the past (much pioneering work on this was done by Edward J. Dawson), for example the four Wheels of Laws. Next, the diagram is suggesting answers to a great number of enigmas within traditional Ifá. For example the century-long debate if Ogbe (1111) is located in the North or in the West (see picture 1 in which the cardinal directions are indicated by N,W,S,E, to come to your own conclusion). This is not just a theoretical question but has profound practical implications. Another enigma was the role of the polarity Okanrandisa as the prime instigator of the game of this Universe itself. together with the final scope of Obarakana. As demonstrated by Sandor in 2005 it can be shown in a double-tetrahedron ("Merkabah") as the exchange of two extreme particles on the top of bottom of the double tetrahedron (see [link] ). However, the progression along the energies has more than one solution. In the Toth diagram, this can be traced and the "Merkabah" transitions are now clearly defined. Last, not least, the Toth diagram demonstrates with great clarity a point for which I have been severly critized over the past years, namely letting go of today's Ifá tradition that put Oshe and Ofun at the END of the energy ("odu") progression instead of where they should be logically, which is following Ogbe and Oyeku (see "Polar Dynamics 1" by Sandor/Dawson). In retrospective, I owe much gratitude to Edward Dawson for his "stubborn" insistance on following in our book the logical order instead of a "holy cow" of tradition(s). The number of observations that can be made using the Toth diagram appear sheer endless. In the following, I will define a few operations to establish a nomenclature for future applications along with some examples. Because of the great number of established and documented properties of energy combinations ("odu") in Ifá, the examples will be taken from a collection of non-secret "pataki" (stories of Ifá) and the names of the principle energies ("oludus") are of aramaic/Yoruba origin . Students of Agrippa's Geomantia are referred to [link] to match the principles correctly. Note, that two bars note the yin/feminine/soul principle ("0" in Polar Dynamics and the Concur Graph), and one bar (or asterix) the yang/masculune/spirit principle. Definitions: - a LEAVE are final nodes on a balanced binary tree (Concur Graph) - a PAIR consists of two leaves that stem from a common node. - a GROUP consists of two pairs that stem from a common node. - a PROGRESSION denotes the sequence of energies, similar to a particle wandering from one leave to the next. - the FIELD is the geometrical space that contains the 16 leaves of the Toth diagram. - a PULSE is an expansion of all legs of a group of final leaves within the field (see p2). - a RHYTHM is a sequence of pulses. - the four groups of final leaves are indicated by their cardinal directions NE, NW, SW, SE. - an RL-SIDESHOT describes a particle passing through the energy field from right to left (and LR-SIDESHOT resp.) - a TB-SHOT denotes a particle going from the top to the bottom (and BT-SIDESHOT resp.) - a BEAM is a line which can be directed TB-BEAM, RL-BEAM, etc - an RL-SWEEP is a vertical line passing from the right to the left. (and LR-SWEEP resp.) - a TB-SWEEP is a horizontal line passing the field of energies from top to bottom (and BT-SWEEP resp.). - a C-ROTATION is a clockwise rotation of a line passing through the center of the Toth Diagram, an AC-ROTATION happens anti-clockwise. - a HANDOVER denotes the transition of a particle from the influence sphere of one of the leaves to another. - a TIMEWAVE is the progression of a particle within the field. Observations and examples using "Polar Dynamics 1" (PD1) and descriptions from traditional Ifá (TR): 1. (TR) The sequence of energies within the Universe is an AC-ROTATION starting NW. 2. (TR, and many other traditions) The current point of progression passes from Ogunda to Osa (explaining a lot of what is happening in our civilization). 3a. (PD) the four groups contain the energies of: NW: the energies of the already manifested NE: the potentials NS: the transitions NE: the attractors 3a. (TR) the four groups contain the primary energies of: NW: the spirits (Orisha/Archons from Orun/higher sphere) NE: the soul (Orisha/Archons from Okun/lower sphere) NS: Ori (sometimes called the (human) Higher Self) NE: Eshu 5. (TR) The upper two groups are "linked" to the lower two groups by the four sacred Ela energies, traditionally only accessible to Ifa initiates (Babalawos), with the exception of a (limited) access to Ika (compare the 13 realms ofthe Kaballah and the 13 olodu of initiates into Archetypes other than Ifá itself (called Babalorisha). The (local) bt-shots on these 4 (Oturaretete and Ikatuupon) are tradionally called the 'doors' of the Universes. (see also 9.) 6. The four leaves in the center denotes the Wheel of Existence (or the "Mathematics" (Dawson). Amongst many other things, it includes the "cycle of action" including the pre/post-cycle gap (Sandor, 2001). 7. The leaves at the right and left sides describe the SECOND wheel (Creation). 8. The top two leaves and the two bottom leaves describe the progression of the THIRD Wheel (Changes). 9. The lower left four leaves constitute the FOURTH wheel (Attractors) 10. The progressions on the four wheels have the shape of a Möbius strip (like drawing the number 8, or the symbol of infinity). To arrive at this visualizing of the progression, assume the four groups are pulsing. A particle along one of the pathways of progression is handed over from one leave of a group to a neighboring leave when its previous group grew stronger than the group of the leave it will be passing to. As mentioned before, these pathways have been found long ago and are firmly established, both EMPIRICALLY (Skywork/Morphogenetic Group Processing) and through rational consideration of observable phenomenon. The visualization with the help of the Toth diagram is strongly supporting these previous observations). 11. Handovers follow the observations described by Sandor, 2007, [link] . 12. The geometry of the Toth diagram contains the progressions based on the Phi (Fibonacci) function as found by Sandor in 2006, cp [link] , as pairs of parallel but reverse cross-shots. 13. The primal goal directions of spirit and soul are expressed through RL beam pairs that are reverted: manifestation of ideas/spirit to a successful end (Owonrin-rosu), and ascension (Odiwori). 
13a, some crossbeams are not that obvious: Ikawori talks about the creation of Orun, the 'Heavens' (it creates an identity or 'spirit'). What would be the polarity for creating physical Universes, the 'soul side'? We know from the patakis that it is Ogbe-yonu. 
But that would not be parallel as expected. The error was in the thinking, The logical opposite to Orun (heavens) is Okun (the underworld), and the physical Universe (Aiye) is in the middle of both. Here we've hit a deep secret. I'll leave it at that and instead we can look at the reverse vector of Ogbe-yonu, the creation of the physical Universe. It should be Ofunbara, an energy that is very often discredited. However, if we look at Salami's two patakis, it talks about the creation of humans (and how they fill all of Earth rapidly), and in the other one he talks about the Ebo (offering) to defeat death (creating 'eternal' life on Earth). 14. The relative distances of the locations of energy states within the Toth diagram also determine their qualities of "binding" and "flipping". Look for example at the energy combinations that are known for their notorius flipping: Ogundamasa and Okanranbara. Likewise, the much feared reversions of Iwori-di ("ascension crash") and Owonrinrosu which happen with cataclyptical intensities. In contrast to flipping, or 'instable' energy combinations, all of them highly "contradictionary", certain energies combinations are "bound" to each other, meaning one cannot have one without the presence of the other. In the Toth diagram we find these energies located very close to each other: Otuuponka in traditional Ifá is compared to a door: from the outside one steps in but when you're in the house, you would be stepping out. Oturaretete is equally strongly bound: one can hardly "love" someone without getting "attached". Lastly Ogbeyeku is said to be the 'war of the sexes', the everlasting conflict between the male and female principles of the Universe, lasting from the beginning of the world until its end. The remaining one is shrouded in secrecy in traditional Ifá. In a sense it is the constant unveiling and revealing property of the Universe, its constant, ever present rhythm of folding and unfolding. 15. Twisting and shaking: a particle that stays in the area of a certain energies assumes its energy. If it is entering a different area, and the new energy level is higher, it will be under the influence of the new area. But how does this "handover" happen? One way to visualize that is the length of the vertices of the leaves, in a Concur graph the 'strength' of the leave. But there is another, more dynamic way: imagine the vertices are made of rubber bands and the leaves out of metal balls. Let us assume the entire structure is entering an oscillation from the top view to bottom view, the latter being represented by the Toth diagram. We can get the little balls to change their locations. But the more a rubber bands are elongated, the larger the force that would pull its ball back in the end (cp 14!). Lastly the system could also enter a transversal oscillation or rotate around its center axis. This model is often being used as a way of perfectly describing the movements of the planets in the solar system. Such a model of 'vibrating space' is letting mass particles ("dust") fall into the 'holes'. Those are the nodes of standing or semi-standing waves. This model debunks the scientific myth (and logical fallacy!) of "mass exerting a gravitational force attracting other masses" as still taught in most (all?) schools. The latter model opens the way fpr us to let go completely of the vertices within the Concur graph and ultimately can let us see the constellations of the prime energies, as arriving from the vibrations of the space in which the complete system, our Universe, is embedded. 17. Lastly, as with any model, Concur Graph and Toth diagrams are MODELS. They serve to this very purpose and only to this. Like words are not the thing, the "model is not the thing" either. 16. Final notes and a word of warning: the list of observations of the interacting primal energies (olodu) that can be drawn from the Toth diagram appear endless. Two fascinating structural properties may help to find the 'way through the forest" even faster: - for any shot or beam ALWAYS exists a second one, which describes the corresponding behavior of the counterpart (soul or spirit) paradigm - for any direction that yields positive, constructive results, going the opposite will have negative, destructive implications A Warning: For students that have only a limited experience with primal energies, it is seriously advised to ABSOLUTELY avoid the lower left energies and any shots or beams that originate from there. Personally, I see nothing in the world that could justify the existence of an individual, personal "loving" god and a devil as his counterpart. This dichotomy has been the creation of men and its results can only be voluntary slavery. But, for whoever believes in good and evil, imagine the intention of a loving God arising at the SW, shining down onto the world (a crossbeam), with the devil fighting him from his quarter in NE. Therefore, please don't meddle with the latter energies. The respect for the tremendous power of these primal energies arrive only with time and exposure, usually not through rational contemplation. Many high-nosed spirits think they can MASTER these energies or are exempt from them. This is not the case and the learning of this fact can be very damaging and/or expensive experience. What is left to do? Just the immediate observations of the Toth diagram yield enough information to fill a few books. However, a conceptual understanding is only, and only, achievable through duplication of the energy properties and relationships. This takes time, a lot of time, and the lifespan of man doesn't allow for experiencing each and everything in just one life. It is this lifelong study that I want to encourage and instead of making many words of the innumerable facets contained in primal energies I want to leave the details to the student in the assumption that what was said here in this short article should suffice to start an incredible expedition provided the concepts of the basic 16 polarities as outlined in "Polar Dynamics 1" have already been grasped. ~~~ addendum: the template for the Toth diagram as binary numbers, showing clearer the mathematical symmetries: 1110 0001 1100 1111 0000 0011 1101 0010 1011 0100 1001 1010 0101 0110 0111 1000 decimal, (if starting with 1, the sums are of course 16 and 32 with the total of 128) 14 1 = 15 12 15 0 3 = 30 13 2 = 15 11 4 = 15 9 10 5 6 = 30 7 8 = 15 .......... 120 |