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| Knowledge is commonly thought to empower the individual. Knowledge is power. But what happens when the means of increasing one's power and wealth, is determined by the intentional cultivation of general ignorance in the greater number. What happens when the process of cultivating general ignorance, for the purpose of cultivating wealth and power beyond limit, threatens to destroy not only the integrity of the knowledge system itself, the potential for those who hold power to be completely disenfranchised themselves from the highest degree that the knowledge system can apsire towards, to also be those who actively engage in cultivating a general ignorance in the greater number, threatens the destruction of the knowledge system and informs the greater threat of the destruction of the species itself.
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| I believe we are engaged in such a period today. After only a few generations of running a system to the point that the degree of ignorance in the greater number is maintained, the loss of knowledge itself, can be profound.
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| Let's consider the shift in our knowledge system, after many decades of global warfare from 1873 to 1945. From the progression of our technological tools used to indicate phenomenal information, meaning the progression of the technological gnomon, it was recognised that the structural attributes of material chemistry, not only applied to organic chemistry, the geometrical principles formalised by individuals like Rene Hauys, were applicable to the entire fabric of materials, both organic, and mineral. This was an astrounding fact that underpinned "ultrastructure research" in the early 1960's, and exposed the fact that the Rhombic Dodecahedron, illustrated by Hauys, was in fact the foundamental structure of the complex isometric matrix that transcends the common presumption that the Pythagorean Cube informs the complete structural picture of significant attributes. In roder to support the study of organic chemistry, texbooks introduced "fischer projections", as a means of tilt the orthographic projection of the image, so that the points infront and behind the center point, could be clearly identified in a 2D illustration.
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| [[File:Material structure.jpg|thumb]]
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| [[File:Fischer projections.jpg|thumb]]
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| Some colonial populations since the 1960's, were never provided with any texbooks about nor discipline of organic chemistry, and indeed their populations were stripped of a higher degree of information that was inadequately filled by alternative systems theory based biology text books, like the "web of Life". The importance of the provision of Fischer projections, the acknowledge of the common structural relations bewteen material and organic chemistry and the return to the Rhombic Dodecahedron as illustrated by Rene De hauys, is profound. However, over so few generations, the potential to take fischer projections for granted, and indeed, forget reasons why fischer projetions occurred at all, not to mention the celebration of Hauys, and the work he provided to material sciences, and in turn to organic chemistry, makes of a necessary provision, a potential for the loss of significant knowledge, which in many cases is at once a natural occurrence, as it is an intentional means of exploitation.
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| Just as we can trace the loss of knowledge in the most recent decades and centuries, throughout millenium, the neccessary provision of utilitarian tools that support the generations, as also the one and same means that informs the loss of knowledge.
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| If we have a singular system which has two points of view, for example the geocentric and heliocentric standpoint of the one and same system, a paradigm shift can occur, through appealing to one perspective, over and against the other, when in fact both are essential to inform the full disclosure of the relation between what is visible and what is intelligible.
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| Imagine a community knows nothing of the camera effect of light, as it passes through a tiny, almost invisible aperture. One could appear to have magical or God like powers by simply addressing the approach of individual prior to knock on the door of your room, as within the darkness of your private quarters, (camera) , the inverse moving image of the outside world, is projected upon the internal membrane of the room. From the tiny pinhole in the fabric of the walls that face the north in the southern hemisphere or south in the northern hemisphere, one can see that all that is occurring in the outside domain. If everyone new of this effect, noone could exploit it for the purpose of appearing to have supernatural powers.
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| The external reality is projected inside out and upside down, on the internal walls of the room. The nature of this transformation is a 180 degree Moebius transformation. This most extraordinary aspect of light, grants us access into the intelligibility of one of the greatest mysteries of light, and spacetime reality.
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| There is no technology to this magical reality that is the camera. It is naturally occurring and self revealing. Only a minute rupture of the otherwise continuous fabric of the room or box or solid form that conceals an internal domain, permits access to this wondrous experience. Yet from the most basic representation of the natural effect, to the most complex of technolgies that record the signature record, we, the participant in actual reality, become further removed from the elementary principles that inform actual reality.
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| All magical tricks demand that the "trade secret" be kept, as without this code of honour, the magic and seemingly supernatural power that is increased in the cultivation of the general ignorance of the observer or participant, simply vanishes when the illusion is exposed.
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| If a business seeks to maintain the leading edge, in order to rise amongst its competitors, concealing the recipe that makes its products unique, is an essential strategy that ensures not just its survival, but also its potential to increase wealth and power, beyond the limits of its competitors.
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| Now consider a heirarchical and militarised empire, where all members are conditionally contracted to defend and protect the social structure that it is born in to, where any and all percieved threats are generally considered to come largely from external sources, but eventually over time, through the failure to support a certain degree of transparency, due to the percieved neccessirt to maintain the principle of non disclosure, the threat to the state, flourishes as tyrannical forces emergent from within the social sphere itself. For all intents and purposes, the potential to create a paradigmatic shift, while maintaining control over the
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| As the defence and protection of this social structure demands the utilisation of the greatest products, desgins and insights, that increase and progress the technologies of armaments, transportation, and communication, it is imperative that the information exploited remains largely unknown in the greater number. The necessary evil concerns us with the constant hegemonic separation at the cutting edge, of that which serves the protection and defence of the system. As such, the history of arms, communications, and transportation, exposes the progression of a long lineage of at the base of which is self revealing and naturally occurring information that is accessible to those willing to investigate both its inherent appearance, and all that is intelligible, that leads to counter intuitive conclusions regarding actual reailty.
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| This is dilemma that I believe we are facing today. With every provision that is by neccessity a gift that enhances and supports the study of natural sciences, the potential for this provision to further remove us from the information which underpins the necesssity of its provision, constitutes at once the greatest threat to the knowledge system, and indeed,
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| The first principles of Astronomy, are based on the topological study of the site, conducted in the broard light of day, using a gnomic indicator (a gnomon is any technological device that is either naturally occurring, or man made, that enables the indication of a signature record).
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| From this primary study, the records of the sun's shadow, traced through space over time, provide the visual mapping of the othographic projection of actual daily and annular cycles.
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| [[File:Vitruvian orthographic projection.jpg|thumb|Vitruvian orthographic projection]]
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| Tracing the signature record of the Sun's shadow on the ground plane results in the marking of continuous "lines of time" on the spatial field of the ground plane, from dawn to dusk, which inform the mapping of the ratios of day to night.
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| [[The_relation_between_the_Vitruvian_Dial,_Ptolemy's_Analemma.jpg|thumb]]
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| From the longest day to the day of equal night which exhibits zero curvature, to the shortest day of the year, the limits of the patterns recorded over the course of around 183 days are realised as a cyclic process shifting backwards and forwards over the same information, informing the projection the annular cycle, resulting a complex set of hyperbolic arcs with postivie negative and zero curvature. From the days of equal night, know as the Equinoxes, our orientation in space, and the latitudinal directions West East is determined. From the Crests of the hyperbolic arcs that define the longest and shortest days of the year, known in temperate regions as the summer and winter solstices, and defined as the registration of the "Zenith" and point at which the Sun is directly above (boreas) the gnomic indicator Noontime, our orientation North South is defined.
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| [[File:Analemma to Cube Cage.jpg|thumb]]
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| Confirmation of this complex cycle is registered in the observation of the gradual shift in the location of the Sun, observed from the gnomic indicator, to the circle of the horizon. As such the figure of the chevron /\ is equal to the full cycle of the year, and run of chevrons which inform the ancient Egyptian heiroglyph for wave or water: /\/\/\/\/\/\, transliterated as "n" and infers a 6 year period. Additionally, this heiroglyph has a direct relation to the construction of the complex isometric matrix, constructed from the rulings of three lattices, from the basic 2 circle topological model: "( ( ) )" which in being turned 90 degrees, informs the heiroglyph of the "eye" transliterated as "r". Together, the "eye" and the "wave" informs the combinatory heiroglyph that transliterates as Rn, and holds the meaning Name. This heiroglyph has spuriously been regarded as inferring a space ship hovering over the waters, and singularly represents the dire neccessity to bring to light, the very thing that has been -by neccessity- concealed, for the purpose of separating the theoretical facts from the applications, as without this non disclosure, the potential to progress precise knowledge bases is compromised by those who run with inferrences without interrogating the full body of information inherent in the study. Ironically, the considered neccessity for non disclosure has led to numerous speculations regarding the Pythagorean Cube, as if this is the final product constructed from the 2D image of the complex isometric matrix, which flourished throughout the middle ages, and specifically since the intentionally obscurationist work of John Dee, as embodied in his Monas Heiroglyphicus, which brought the Pythagorean Cube, the Pythagorean Quaternary, and the Pythagorean Tetrakys, to the fore as an occult study.
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| [[File:Pythagorean_Quaternary_and_Tetrakys.jpg|thumb]]
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| Its non disclosure has also led to the dire issue of all manner of arbitrary models being claimed as the false foundation to Quantum Phenomena, as instantiated by Sophus Lie's intuitive notions pertaining to the 2Dimensional model, and its "string thing" studies.
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| [[File:Evolution involution of a circle, the rhumb line and lies geometry.jpg|thumb]]
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| Additionally this was returned to by Lissi, which presupposes the lesser object known as the "seed" and "flower of life", hence refers to a template employed by neccessity, by the Ancient Egyptians, for the purpose of supporting the more precise ruling of lines in the outer regions of the matrix construction, as it was applied in the act of "rope stretching", for the purpose of underpinning precise foundations for architectural constructions.
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| [[File:Flower of life roll of dice.jpg|thumb]]
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| Exploitation of this necessary diversion from the original structure, informed the common descent towards corruption, and extreme superstitions held in the social sphere of the greater number, demanding continuous "restorations", that is, returning to the foundational "teachings" informed by the heiroglyph which transliterates as SBA, indicated by the five spoked wheel, which, with a circle circumscribing this structure, transliterated as DUAT, meant underground, or pertaining the utility of this structure as a system of mensuration required for the study of the "night time hours"- duat. From this heroglyph, the spurious notion that the Ancient Egyptians wished to the return to the "stars", is seeded, as the generalised meaning of the five spoked wheel is "star". Alternatively, as indicated by earlier (predynasitc to the first of the dynastic kingdoms) neccessities for restoration, at the time of S-NFR-U, informed by the reponse to the concerns raised by this Pharoah, as recorded in the "prophecy of Nfr-ti", the "return to the foundations of "re", and hence to the primary model of the two circles, and its rulings, pushed to the degree of complexity shown below, and in turn, to the point of informing the construction of 12 hexagon shells, where the horizontal diameter line is divided into 24 equal parts, indicating the measure of 3/24 and 1/8 = 0.125, was enacted. This enactment resulted in the consruction of the first pyramids in Ancient Egypt. the heirglyph for pyramid indicates the 24 degrees, and this structure informs the inner corbelled arch of the body of the construction. The true pyramid inferred the complete reckoning of the complex isometric matrix, as one that resulted in the Rhombic Dodecohedron, whereby the primary structure realised in the 3D construction from the 2D image, was the octahedron, not the cube nor cube cage.
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| [[File:Model 8 star and four axes.jpg|thumb]]
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| [[File:Construction of platonic shapes.png|thumb]]
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| In its direct relation to the complex ruling of the "double" isometric matrix that results, the matrix constructed to the point of informing 6 hexagon shells, the significant relation bewteen the 5th and 6th of 6 hexagon shells, and the 10th and 12th of 12 hexagon shells, informs the relation between the circle of the meridean and the Vitruvian "dial" whereby the description of the circle of the meridean, divided into 15 equal parts, provides intelligible access to the closest aproximation of the Earth's Axial Tilt.
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| [[File:The Ancient Egyptian Geometrical System.jpg|thumb]]
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| Between the two extremes of the longest and shortest days of the year, and the means -being the two days of equal night, the complete annular cycle is quadrated by these four days. As the Earth is a sphere, rotating on a tilted axis, the experience of seasonal change is determined by the location of the observer. In temperate regions, the longest, equal and shortest days of the year, define the midpoints of the four seasons. In regions closer in proximity to the equator, it is common to experience three phases of the year, as with Ancient Egypt who acknowledge 3 primary seasons, according to the times of planting, harvesting and inundation of the waters of the Nile River.
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| From this set of hyperbolic arcs, the topologically coherent model of these relations is constructed which enables the shift from that which is visible and intuitively experienced, hence infering that the Sun appears to rise at dawn and set at dusk, in a recuring pattern of hyperbolic arcs, all that is intelligible transcends the intuitive notion, and exposes the counter-intuitive facts of the planets relation to the Sun, which exhibits two complementary standpoints of the one and same system.
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| As the Ancient Egyptian linguistic code included immaterial phenomena, largely based on the system of mensuration which underpins the relation between the sexigesimal system and the decimal system, informed by the elementary principles of astronomy, and the topological model of the analemma, and "dial", it is considered to be a far more complete foundation than that which is speculated as emergent from Mesopotamia, or Babylon and Chaldea, and inturn related to the Indo-Aryan root, which in turn informs the flourishing of mysticism consolidated in many pagan belief systems including the [https://en.wikipedia.org/wiki/Slavic_paganism Slavic nationalistic belief systems], that some consider to indicate a superior culture, rather than finding common ground with the many world religions all of which can be shown to have foundations in primary astronomical information.
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| [[File:Cannons and codes of governance.jpg|thumb]]
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| [[File:Yin yang iching.jpg|thumb]]
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| [[File:The hittite sun disk compared with the Persain 8 star polyhedra.jpg|thumb]]
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| [[File:Iching.jpg|thumb]]
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| Hence the return to mysticism at the end of the 19th century, through the work of Gurdieff, Ospensky, Blavatsky, Bailey, Leadbeater and Crowley, inspired largely by the work of Frederick Neitzsche and the failure to comprehend the true meaning of the reference to Hyperboreans, from Herotodus and others, regarding the ancient greek term Boreas as meaning from above, being the Zenith of the Sun and the Nootime of the hyperbolic arc, from which the Septentrio, or Septentrionalis which indicates the compass point to the direction of the North, and Meridional South, oriental east and occidental west, informs the orientation determined by the one and same ancient system anchored to the elementary study of Astronomy. From whence the North wind blows, is the common interpretation that has led to spurious notions and the rise of both negative theology, and a host of spurious notions flourished by "sceptics" who appear to retrofit ancient narratives and "scholas" to servie the interests of a paradigm based largely on speculations on Alchemy, leading to forced evolution, transhumanism, and totalitarian control systems.
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| In extending this study to other regions outside of the constraints of the Ancient Egyptian political system which is based on the one and same geometrical model and its rulings, we find the monumental architecture of Stone Henge, and preceding this, of all 12 spoked wheels and henges of a more simple design, hold the same foundational structure, to which Stone Henge, represents the most complex computer able to be utilised as the means of predicting an annular eclipse.
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| [[File:Study of stone henge and SBA.jpg|thumb]]
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| It appears to me, that we are faced with the issue of either saving mysticism, or saving natural science, and the true foundations of computational systems which extend well beyond Plato, and well beyond the construction of Stone Henge, whilst Stone Henge indicates a higher degree of complexity, and instantiation of a relatively transparent system that remains obscure only in the failure to support the greater numbers induction into the primary attributes of astronomy and foundational systems of mensuration.
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| ==Regarding the relation between the preceding work and the single chirality Klein Bottle==
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| There are a number of permutations of the Kleinbottle. The most common, or classic figure of the Kleinbottle is discussed in various volumes of Carl Gustave Jung's work on Alchemy, and as Jung described, is a reiteration of both the Pelican Flask of the Ancient Alchemists, and its resonance with the iconic and mystical symbol known as the Pelican Christus. Another, far less known, is related to an altogether different, yet mystical structure known as the "Purse of Futunatus".
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| I had been introduced to Quantum Physics, while attending a very ordinarty high school, out in the country, where my phyiscs teacher litterally threw out the text book, and taught both quantum physics, and the history of primary cosmological studies which focussed on Ptolemy, Copernicus, Kepler and Newton. At the same school, important questions asked of Maths teachers, fell on dull minds whose response to use the tool of public humiliation against me, arguing that I was much smarter than the question asked. The question concerned the limited definition of a point, as something that has zero dimension. How can a line be constructed with points that have zero dimension? how can a plane be constructed from lines and points with zero dimension? Naturally, one could have simply opened a dictionary, and showed the many definitions of the term point, or they could have told us the convention was confined to vector geometry, or indeed they could have returned to Euclid's glossary of terms, and his atomistic world view, and begun a narrative regarding topological transformations, extensions and so on. These studies would become higly significant, in the period after I had completed my PhD. The limitation of education in this field, I would realise later in life, was highly compromised from 1962, by a utilitarian eucation system that intentionally served the interests of corporate industries, acknowledging these in the front pages of all textbooks: BHP, Riotinto, Kraft Foods, Nestle, Alco, etc. This included the only textbook of the "structural foundations of Chemistry" relevant to material sciences, at a time when biology was compromised by the "web of life" and simplistic notions regarding information and systems theory. It was not only maths and biology that were heavily compromised. No textbooks on organic chemistry were ever provided to the Australian public from 1962 on. This date is significant to the instantiation of the UNESCO program, and the investment by America, in all things to do with Information and Communications, in Australia, as they ended the public program of super computing, that was well developed here, leading to the abandonment of research that had resulted in the creation of CSIRAC. Public humiliation also came from English teachers, yelling at me, "there will never be another Einstein". I cant remember what I had said to get this response, but it was a deafening echoe in my ear, that would remain as a recurrent notion that spoke more of formal constraints and idiocy than anything else. So this one physics teacher, provided an intellectual refuge. As it was country school, the teachers which mattered to me, all lived on a farm in shared accomodation. Often, we spent weekends struggling intellectually, with really big issues. As it was uncommon for "professional" parents to send their teenage children to the local school, and as I had come from "private" school in the city, and being from an immigrant British famil, spoke with a posh voice, the humiliation would extend to my peers, and hence there were not many people that I could relate to. Besides Physics, my passion was Music and fine Art.
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| It was from this influence and the knowledge that psychology and social sciences at the time, were both limited to "rats and stats", that made me naively think that it would only be Art school where I could further my interests in consciousness studies and ideas regarding reality. But in this environment, where one would expect a certain degree of freedom to think, to act, to be, it could not have been further from the truth. I was a prolific artist, and was passionate about theretical studies. My work though, was considered to be intimidating to those who held conservative points of view, and I was commonly reprimanded particularly for my performance work, and specifically over a complex piece called "A Prayer for Change". Australia was dominated by Mysogeny and Racism. Few woman excaped serious trauma. The politics of the 1970's appeared to have broken the spell of the penal colony, its inherent corruption, its exploitation of all as resource, and failure to defend or protect anything of cultural significance. The hidden hands who worked behind the scences that were held by relatively ignorant and highly religious governing agencies, or conversely, brutish sceptics who acted like intellectual thugs, and served the interests of creating work for the actively dumbed down masses, were, due to the level of ignorance in play, overt in their manipulations, waged through steering committees.
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| After writing a Masters of Fine Arts Thesis on Alchemy and the Creative Process, called "A Point in Time As We Create The Future.", I was vexxed by the issue of antithetical relations, dialectics, and the potential to reconcile apparent extreme opositions which tend towards a point of similarity. Indicating antithetical relations in a manner that presupposes a common center, appeared to me to constitute a far too simplistic structure. What happens when extreme and opposite standpoints, verge upon a point of similarity? Whilst I had a significant knowledge regarding alchemical structures, religious and esoteric narratives, signs and symbols, I did not have have the means of comprehending the underlying relations between the two dominant structure figures, commonly known as the Pelican Christus and Oroborean Ring, or snake eating its tail.
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| [[File:Dialectical complexity.jpg|thumb]]
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| The common models which flourished in the Middle ages and beyond, employed by both Raymond Llull and Leibniz, exploited the classic division of the circle, primarily into 12 parts, and variations on this theme, leading to divisions of numerous equally proportioned segments, which included various combinations of such wheels, as in the work of Llull. This is not unlike a classic cololur wheel, which is also related to the 12 half tones of the musical octave. The primary motivation for the use of these models by both Llul and Leibniz, was to create some form of rigorous proof for the concept of God. This is of great importance today, as the subject of topology, which by definition means the study of the site, has become highly compromised particularly in the pages of wikipedia, and work of Tom Ritchy, from the Swedish Morphological Society, by the linear ideation of the history of the computer, traced from Fritz Zwicky, back to Leibniz, to Ramon Llul, and on to the mysticism of neo Platonic and New Pythagorean notions, all apparently without any significant interrogation of mysticism and the veil it creates over what Roger Bacon referred to as the primary Unity, which by necessity was divided according to the disciplines, for fear of social instability. Further issues from wikipedia, is the attempted instantiation of "Matheamtical Idealism", as a means of providing a foundation for Nanoscale technologies, and the concept of the Quantum Dot, which does in fact have dimension and existential status, whilst technically considered to have zero dimensions. It is important to note here, that the foundations of interests in the properties of Graphite, ground to extremely fine pointlike particles, was directly influenced by the exceptional work of Joyce Hinterding, an artist, peer and friend of mine, who in the 1980's created electric curcuits from images drawn with graphite pencils, and would spend a significant time as artist in residence to a European corporation interested in developing materials with super conductive properties, the details of which I do not have at the moment. Many artists who think outside the box, have enabled not only technological progress, but have also been significant players in introducing the general public to relatively wild ideas. Stelarc is another of many Australians, who in pushing the boundaries of limitations in both art and science, have served the world of science and technology in a way that is generally poorly understood. Rather, the project of Art Science, in Australia, has remained entirely compromised by the celebration of individuals like Robert Pope.
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| In terms of the formalisation of Science and Mathematics, we only have to look at the introduction to Isaac Newton's Principia, to find the overarching constraints underpinned by the work of Pappus the Alexandrian, and his insistance that there be 5 primary forces the first of which is Gravity. At a time when the generalised notion of cosmology was heavily compromised by the flat motionless earth perspective, such a quest has remained, as the singular dominant program that persists to this day. Along with the quest to work out the Delian Oracle, being the squaring of the circle, the doubling of the cube and the trisection of an angle, all of which is underpinned by the ancient system of geometry to which Plato's Timaeus represents the first attempt to expose the difference between the true model and the copy, as in his Timaeus. Written at a time of serious social destabilisation, and the rise of tyranny, this book was written with the idealistic hope that one could in fact restore what had been done to the model itself, which was described as a process of reverese engineering - or the noting of what elements had been removed, and what had happened in the separation of the two circles ( ( ) ) -> OO. "If that which is true is blasphemous then it is to the copy that artificer looks." The separation of the non dual attributes of Plato monadic dialectics, to binary terms, treated as absolutes in and of themselves, indeed as the relation between Light and its Absence or Void, is at the core of problems which result in unresolvable fatal paradoxes. This is further impacted upon with the instantiation of the big bang model, the instantiation of the cipher zero, and void, and quest to find infinite dimensions, all of which was supported by the novel narrative of Flatlands: A romance in many dimensions, which established Vector Geometries, rather than a topologically coherent expansion of Geometry and Mathematics, as was occurring with the work of Poincare and Felix Klein..... all of this was superceded by the heir apparent to Kleins fallen mantel, David Hilbert and his rejection of the work of Hauys, that would return in the 1960's, with fischer projections, as the underpinning to organic chemstry. Rather than the work of Huays, Hilbert celebrated the more contemporary work of Bravais, and his 7 fold categorical system that sorted the various shapes and forms underpinned by studies in material sciences. This exposes the fixation with the Pythagorean Cube of 216 lines, referenced in Vitruvius.
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| From the geocentric standpoint, the forward and backward motions of the planets epicycles, and the epicycle of the Sun, was imposed upon with the qualitative notions that affirmed the retrograde motions being "evil" or having negative influences. This informed the mysticism of Astrology. And whilst this speculative tradition empowered those individuals who granted divinations of the future, to powerful players, the means through which an astrological wheel is constructed, preserved the integrity of the geometrical method which can be seen in the two circle model used by Copernicus; which conforms with the structure discussed in Plato's Timaeus from the standpoint of a process of reverse engineering what the "artificer" had done; discussed in Vitruvius with regards to the construction of a sun dial, of whose model is directly employed by Ptolemy in his work on the Analemma, even though both he and Copernicus preferred to underpin their astronomical studies with the technological tool of the Astrolabe. This model and its workings is reconstructed in the image below, through the inclusion of the method of rulings pertaining to the complex isometric matrix. Whilst Copernicus stresses that the work which informs his perspective of the one and same system, utilising the one and same model, does NOT rest on the solstices and equinoxes, and hence infers a strong division between the geometry arising from the model of the analemma, and the astrolabe, we can only speculated on the reasoning behind this. The formalisation of the mechanistic lineage of scientific progress, coupled to the generalisation of the elements of mathematical interest, and the utility of ciphers, zero and infinity, which each embody structural attributes of the daily and annular cycles, and preference of referencing work from only the former decade, has influenced the past 150 years of research, as if progress is likened to "Jacobs Ladder" with the desire to reach the "one mind" technological singularity in the Noosphere of DeChardins musings, as a means of not just being able to act as if a god, but making God, in AI.
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| [[File:Copernicus, Pythagoras and the Ancient Egyption geometrical system.jpg|thumb]]
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| With regards to astrology, the presumption that the apparent forward and backward motion of a planet, as it traces its epicyclic spyrographic pattern, as viewed from the planet looking outwards, inferred positive and negative attributes, constitutes a man made imposition, based on appearances which are transcended in the understanding of the higher degree of information that constitutes counter intuitive intellgiible information. It is also apparent that the qualitative gender characterisations of the Earth, as either male as with Egypt, or Female, as in the case of the "Descent of Innana", from signifying a "sky goddess", to being an earth goddess, appears to conform to the shift from the conception of the Earth as an active entity indeed with two "running speeds" as with the initial conception of the "twin bearded god" Geb, indicated in the bottom register- meaning foundational to the image above, of the NRMR tablet. There is much to say about interpretations of this specific tablet, and what occurs to the bearded god Geb, who loses his twin whilst maintaining the greater "running" stride, and over time, loses his position as support for the daylit sky, with his phallus to his father Shu, and eventuallly with shu replaced with the "pillar of stability" or tripple capitalised Tet pillar, and as the sky turns to the night time hours, eventually to the ship that carries the Sun through the night time hours to its dawn position of rising, at the time in the new kingdom when the shift of reverence from the Noontime to the new dawn, and instantiation of the wrathful god, occurs. Whilst many consider Hermes trismagistus, or HERM trice great, to infer the creator of the ogdoad, Thoth, a HERM was a marking stone, commonly with a double bearded head, indicating the passage of a roadway, or identity of a corner or definition of a field. A four faced HERM was commonly placed on the cross roads, and hence the thrice great, indicates the three axes of space. Hermes is often depicted with a beard, holding the "double serpent" and rod of the caduceus, and having wings at his heels. I believe this to indicate a reiteration of the Ancient Egyptian god Geb.
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| [[File:Hermes with huge phallus, caduceus, cornucopia and double and four herm.jpg|thumb]]
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| [[File:Geb and nut and shu.jpg|thumb]]
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| For many years I have been accutely aware that my research fails to support both the general lineage of formalised sciences, and the general lineage of speculative notions regarding narrative figures many of whom are directly associated with the phenomenal relations. Most certainly the phallus of Geb and Osiris, indicate the gnomic staff. The apparent struggling of Geb beneath the arched body of the daylit sky, who appears to run in the opposite direction to where he is looking, might conjur some notion of a struggle or indeed rape by a female entity when in fact it has far more significance as a cosmological identity. In terms of my engagement with either scientists or mystics, both sides of this wall, to which I find significant issues are heavily defended by those who have invested their lives- not in interrogating anything of these subjects, but rather, in reiterating parrot fashion, what informs the primary conventional interpretations that appear to be impervious to any critical enquiry. And its not simply these disciplines. I have been deeply disturbed to see academic's intentionally create a completely botched job in replicating a box camera large enough to stand inside. Indeed the obscuration of the camera obscura! They have done this by including lenses and various forms of obscruational additions. As this is a structure which requires nothing but a singluar pinhole on a sunny wall to an internal room in order to permit light to flood into the interior space so as to reveal the 180 degrees "moebius" inversion of the outside world projected on the internal space, the entire reason for exhibiting such a thing is lost entirely. Even the term "camera" meaning private quaters is significant of once considers the potential to appear as if having mysterious powers, through addressing the name of a person prior to them knocking, as you can see everything occurring outside, from inside whilst sitting in the dark. The "magic" of the camera, the "magic" of the 180 degree twist, and the "magic" of the pinhole, its relevance to the human eye, and to all aspects of the study of light, remains a mystery to the child mind. As such, there is no refuge for my research. I does not sit with any sense of acceptable relation to anything. And yet the motication behind such work is to transcend the mysterium, while simultaneously exposing the true awe to be held when realising how magnificent mathematics and science really are, and how magnificent ancient cultures really were, and how dreadfully compromised those who think they can interpret signs and symbols and in turn make strong judgements against artists, musicians, scientists, philosophers, and more, without realising to what extent that are themselves delluded.
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| So not just an epistemological resolution analysis, the knock on effects of this, are profound. I am not a mathematician, nor scientist, but i am a Geometer, and Philospher, and would have preferred to have been able to engage with both, as was the potential 22 years ago. However people today are so dreadfully defensive of the singular discipline that they are acculturated within, that they - particularly the yonger generations, can be extremely violent and unwilling to engage in ever the most basic of discussions. The most dangerous are the many who think they know how to interpret everything that they think relates to the illuminati or freemasonry.We are living in dagerous times, with dangerous players who have their advantage increased through the veil that is created in the drama of conflicted extremes and often irrelevant interpretations of what they think is actually going on. We live in dangerous times, where antisemitism raises its head once more, and cultural supremacy appears to take the lead.
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| With the vexation regarding the need for a more complex structural analysis of antithetical relations in mind, I decided to engage with the Philosophy Department at Newcastle University, with the intention to work on a PhD, whilst lecturing on issues in PostModern philosophy and a short course on the compartive structural relations underpinning Architecture and town planning from the ancient world. It is here that I first met Shiela Morgan, a retired science teacher and weaving enthusiast, engaged in exploring the structural relations of the Moebius strip and Kleinbottle, from the standpoint of a diagonally woven single joind thread.
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| [[File:Shiela Morgan's investigation of complex figures from the standpoint of a single joined thread woven structure..png|thumb]]
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| It was the end of 1993, and I had twin boys aged about 6 months old. I was so deeply affected- moved- enthused and excited by Shiela's demonstration of the motion inherent in her models, that I rang my partner to say I was not coming home, at least for some time as I had to stay and speak with this exceptional woman.
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| After waiting for the majority of people from the audience to leave, I went up to Shiela, and tried to hold back my tears as I gushed out these words: "Shiela, you have created the Mercurious. It unifies the Pelican Christus and the Oroborus. Its extraordinary." To her astonishment, she turned to me and being much older and wiser, said "my dear, I have no idea what you are talking about". This would be the beginning of a wonderful decade, and both of us consider each of our work to be likened to two sides of the one coin. Shiela was continuing with the formal lineage of explorations in apparently "higher dimensional" spacetime structures, which began with her study of the 1976 publication of Australian Philosopher and humanist Graham Nerllich's "The Shape of Space". By passing the neck of the woven kleinbottle through the weave of the body, she was transcending the limitations of the genearlised view that this figure was an "ideal" form that could not be played with as the singularity where the neck passed through the body, was a zero point at the neck, and a zero point in the location of its passing though itself.
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| [[File:Making a fabric kleinbottle.jpg|thumb]]
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| [[File:The trace of the longitudinal process of the KB rotation.jpg|thumb]]
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| As a spinner, she was facinated by the way an over spun thread doubled upon itself, and if the over spinning continued, entirely new and complex structures would form, exhibiting at first a bundling of the thread, and then a stable spiralisation of overspun thread.
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| [[File:Twist spring thread.jpg|thumb]]
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| [[File:Soap film Mobius.jpg|thumb]]
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| [[File:Breakthrough weaving.jpg|thumb]]
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| [[File:Shielas cubes.jpg|thumb]]
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| [[File:Shielas white cube 3.jpg|thumb]]
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| [[File:Shielas glass pyramid 009 copy.jpg|thumb]]
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| [[File:Table of four quadrants.jpg|thumb]]
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| The provision of these images of Shiela's reseach, only show a small fraction of the studies that she was engaged with. She worked largely on her own, unencumbered by the constraints of a university affiliation, and would often give talks to the Philosophy Department, overseen by Clifford Hooker. Between 1994 and 2006 when she died, I worked closely with her, photographing her models and illustrating many of her studies. I typed her hand written notes, and the body her work is now located in the Museum of Science and Technology. The only presentation that she gave in person, outside of the Philosophy Department of Newcastle University which now does not exist in any way shape or form, was to the Biannula International Conference on Philosophy, Science and Theology, held in Grafton NSW, in 2005. This conference, governed by Howie Firth of the Orkney Science Festival, and David Scott, former Vice Chanellor of Amhurst Massechusets, continued through the period of the first decade of the millenium, and all proceedings and any trace of its records does not exist. I participated in this conference from its inception, and also participated in the 2001 Orkney Science Festival.
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| My side of the coin so to speak, investigated the shape form and function of the largely unknown Kleinbottle commonly referred to as the "Purse of Fortunatus", the history of which is echoed throughout the history of knowledge. It is this work, and the championing of Shiela Morgans research, and that of Australian scientist Chris Illert, that informed by Phd Thesis, Titled "Towards a New E.R.A.: Epistemological Resolution Analysis, by and through the Kleinbottle and Transdisciplinary Education. This thesis was completed in 2006, and was examined by Eric Trell from Swedon, Stein Eric Johansen from Trondheim University of Technology Norway, and philosopher to the Institute of Basic Research Florida, USA., and Steven M Rosen from SUNY, USA.
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| Coming from a Fine Arts background, and having studied Alchemy from the work of Carl Jung, Robert Hargraves, Silberer, Kircher, and more, as well as being fully cognisant of Theosophical, Anthroposophical, Rosecrucian, Platonic, Neo Platonic, Neo Pythagorean and mystical works that flourished throughout the middle ages, informing the anals of speculative philosophy, all of which underpinned my research interest since 1978, which continued with my interest in the American school of Popular New Physics publications, throughout the 1980's and 1990's, at which point, and from the quick uptake of interest in systems theory, and the commercial sphere of the internet, access to such publications dimished, and the process of expunging physical books from university libraries began. From these influences my world view was, at the time, leaning heavily towards an antirealist standpoint, which was deeply conflicted with the results of my research throughout the 1990's. My study of the Purse of Fortunatus, and Moebius strip, of the work of Shiela Morgan, also covered my exploration of Einstein's interest in Theosophy, and shift later in life, towards an investigation of the Kaluza Klein hypothesis, and of David Bohms concept of the Implicate /Explicate order and holonomic studies amongst others. It had led to my research being identified from early published papers regarding the relations between Infinity and Zero, the technical singularity and the work of Morgan, by Steven M Rosen and Stein Johanson. Having already written numerous papers surveying Ancient Greek Philosophy and Science, and my ideas regarding the need for a more adequate Epistemology than that which is defined in the work of Leibniz and Llul, hence, the dire neccessity for a less "siloed" structure in service to transdisciplinary education, both Johanson and Rosen saw in this work, a common ground with theirs. This also opened my perspective to the work of Johanson, Rosen and Eric Trell, which in turn, introduced my to the work of Ruggero Santilli, and Chris Illert and his partner, Daniella Ribivera, whose sudies in conchology and growth forms of plants and various organic structures, enhanced my knowledge of the work in histology, growth forms in nature, and speculations of the soul in matter, as given by Earnst Haeckel, as did my research and that of Shiela Morgan into the Kleinbottle and Moebius strip, enhance his understanding which had been significantly drawn from occult and alchemical literature. As Illert's studies also included his "Alchemy Today: Platonic Geometries in Nuclear Physics, and speculations on "Star Gate Physics", the Kleinbottle informed two standpoints - one, from the classic structure, appeared to me to be a perfect model that discribed the nature of paradigm shifts, between two perspectives of one system, as identified in the motion of its structural form. Alternatively, the Purse of Fortunatus, informed potential for a unity of sorts that was not fully realised until my post doctoral research.
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| Whilst my Phd thesis concluded that the Purse of Fortunatus model of the single handed chirality Kleinbottle, was not only a figure that could be traced as my research showed, right through the history of Sciences and Speculative philosophy, it inferred a topologically coherent model of the way light gyrated on the surface of the planet due to the planets rotation about its tilted axis, and orbit of the Sun, hence informing the helical signature embodied in the micrographs of DNA structures, provided by Rosalind Franklin. But I was vexxed by the need to comprehend whether or not there were any real geometrical foundations, beyond the work of Gauss, and his speculations on a method to find Pi, from working off a square lattice, and beyond David Hilbert, and additionally beyond the "eightfold eightfold way" informed by Sophus Lie's transformational geometrics as underpinned by the work of Eric Trell. What was missing? What was the difference bewteen the conclusion arising from the work of Sophus Lie, and that arising from the work of Chris illert, as it inferred either many dimensions, or 6D spacetime. The 8 pointed star polyhedra, the Ancient Egyptian study of the squaring of the circle, and the platonic structure of 8 star formed from the coupling of two tetrahedrons, would find resolution in the my recent interrogation of the Pythagoran Cube, and the inferrences drawn it. I needs to find more than an arbitrary geometrical base, as is common from those influenced by the various permutations embodied in speculations on the subject of "sacred geometry".
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| [[File:Pythagoras 216 lines ruled with cube.jpg|thumb]]
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| [[File:Hilbert squaring circle rhind papyris.jpg|thumb]]
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| [[File:The delian oracle.jpg|thumb]]
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| This was a neccessity that could underpin the natural sciences with more rigour than that which was inferred by the various texts from the speculative tradition, for without more than arbitrary models, both natural science and natural law remained without adequate foundations. This work began after the completion of my PhD, in 2006, and was underpinned by my quest to comprehend the link bewteen the Kleinbottle and moebius strip, so called higherdimensional structures such as the hypercube or tesseract, or of Diophantine whole-number cells, or Penroses polynominoes. Key to this was the rejection of vector geometries as merely a techincality, and a return to the investigation of elementary Astronomical foundations, and in turn, of more utilitarian and axiomatic systems as given by Euclid and Descarte where the "space cube", began to take shape, as that which is underpinned by the Hyperbolic arcs of daily time, and ratios of day to night. I finally began to understood that many including myself, generally mistook the Veil of Mysticism, for the things that this veil concealed. This was a somewhat terrifying realisation. From 2008, when this connection was fully realised in the study of the structure inherent in Stone henge, my need understand the science of Ancient Egypt, led to serious research into philological studies, and a deep dive into Ancient Egyptian Heirglyphs from the standpoint of this geometrical perspective underpinned by the two circle model. What I realised was that without this understanding, Ancient Egyptian Heiroglyphs were themselves relatively obscured. Marshall Clagetts 4 volumes of Ancient Egyptian science, as well as the work of numerous others coupled to my geometrical analysis, has led to a more complete comprehension of Ancient Egyptian Heiroglyphs and the permutations of these over time, as the political system of the twin lands, remained relatively stable, until the incursion of external forces from the middle kingdoms on, which eventually completely undermined its potential to survive.
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| [[File:Moebius kleinbottle paper model.jpg|thumb]]
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| [[File:Moebius kleinbottle.jpg|thumb]]
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| [[File:August moebius.jpg|thumb]]
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| [[File:Binary distributions compared with complexity of the kleinbottle present in harmut mullers ideographic representation..jpg|thumb]]
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| [[File:Pelican flask and purse of fortunatus.jpg|thumb]]
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| [[File:Yin yang expansion and fibonacci series.jpg|thumb]]
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| [[File:Nautilus shell and fibonacci.jpg|thumb]]
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| [[File:Santilli-Rutherford model, the Helix Nebula, and the ruling of the Matrix form the "Eye of NFR"..jpg|thumb]]
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| Siela and my father both had passed away in 2006, and although I did all I could to get her work out to the world, discussing it, as well as mine at all conferences I participated in, any mention of her work in Wikipedia for example wa constantly shouted down, and any mention of the various elements from my research, also was met with a constant rejection. This in itself began to speak rheims. As all of the speculative works didnt simply hint at a general unification of geometry, they- largely English philsophers such as Roger Bacon for example, were in fact quite explicit, and named reasons for the separation of the disciplines.
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| = note to eric =
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| Here in the antipodeans, Google is the dominant force, and has been dominant force since its partnership with major accademic institutions many years ago. Today, it is virtually impossible without linux to engage with anything on the internet freely. It was preventing all of your sites from being seen, and it took me quite some time to work around this. I have now found them, and am studying as much a I can. Very much enjoyed your discussion with Lissi, but have numerous questions from both sides of the discourse. It is such a pleasure to listen to such intellects. Thankyou for your brilliant mind, you brave spirit, and inspiring work.
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