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NEWSCIENCENEWSCIENCENEWSCIENCE apices of two right angles measuring height, modern science with Reimannian and depth and breadth (see figure 3). Lobachevskian geometry. Figure 5 shows a The First Prime explains, with stick figure conformal distortion of figure 4. simplicity, the relationship of prime material Hermetic scientists concluded that prime to the host form it occupies. Prime location material was a subtle spirit substance, hiding is strictly limited to the apices' point. within the myriad forms of the universe by Height, breadth and depth can be graphed on occupying a strictly ordered geometry of the shared-centre right angles. Descartes, a locations. Great importance was placed on student of archaic science, may have based the golden ratio and the Fibonacci series, his Cartesian graphs on First Prime graphi- both evident in the golden rectangle (see cal representation. igure 6). Cartesian graphs have developed into one In a letter to Mersenne, Descartes Fi of the best scientific tools. While mathemat- described the equiangular spiral as the secret ical formula is sufficient for precise descrip- to the universe. Hermetic geometry tion, a glance at corresponding graphs clear- employed spirals ranging from equable to ly shows how change in one quantity influ- equiangular, sometimes in two-dimensional ences others. Today, these graphs are wide- _ shared-centre spiral planes. Two-dimen- ly used in science and industry to represent _ sional spiral planes were considered the con- directional or measured quantities and for- necting link between three-dimensional host mulas graphically. For this, Descartes is form and one-dimensional prime material. generally considered the founder of analyti- On a First Prime graph, it looks like this (see a | cal geometry, or at least the first to write figure 4): 13 ip 5 about it. rs While embracing analytical geometry, sci- ence regards Cartesian dualism with horror. How is it that a mind or soul is unextended in space? Where is it? How can it interact with the extended physical host? Such a transaction seems impossible. Surely mind can be a property of the material body with- out resorting to an imaginary unextended world. \ ,, Descartes could never adequately respond S a to these and other criticisms. He tried, but the needed technology just wasn't there. Today, the tables may have turned. From v The golden rectangle is a gnomon which the archaic viewpoint, astonishing advances These two-dimensional spiral planes _ regresses to a potential prime location in a in neuroscience, genetics and quantum (when viewed from the appropriate cross- gnomic regression. Gnomon is defined as physics have already answered the "where" section) occur throughout the natural world, "any figure which suffered no change, save and "how" of the unextended world. But but are rarely observed in the Euclidean for magnitude". Many figures fit the gno- we're getting ahead of the story. Let's start representations. Most examples occur as mon definition and golden ratio (see figure at the beginning: the hermetic science of conformal distortions. 7). Since everything physical generates prime material. Hermetic geometry artifacts display a from central prime material in a gnomic working understanding of conformal growth pattern, the material world is consid- Hermetic Science distortions—a fairly recent achievement of ered a network of gnomons without inde- In the centres of form pendent existence of their own. The prime material hides Fascinating, but often cumbersome, tech- Informing the host That it secretly guides For thousands of years, one idea— Hermetic prime material geometry—stood as the foundation of science. A concept that survived civilisations lives on in the popular imagination, yet is rarely presented in its original scientific context. It's strange indeed that an idea once widely understood has become difficult to rediscover. Let's start the inquiry with the oldest known scientific principle: the First Prime of Universal Order—a point which is the nology developed along this line of reason- ing, probably peaking by the late Bronze Age. Unfortunately, subsequent civili tions apparently lost the whole understand- ing, retaining only the sacred geometry sym- bolism and various mystical practices. By the time of modern scientific development, hermetic geometry had fallen into disrepute, save as fable and superstition. It's not surprising that prime material awaits rediscovery, and it is clear that the solutions of the past will not answer the questions of the future. The "where", modern science with Reimannian and Lobachevskian geometry. Figure 5 shows a conformal distortion of figure 4. Hermetic scientists concluded that prime material was a subtle spirit substance, hiding within the myriad forms of the universe by occupying a strictly ordered geometry o: locations. Great importance was placed on the golden ratio and the Fibonacci series, oth evident in the golden rectangle (see igure 6). al 13 Hermetic Science In the centres of form The prime material hides Informing the host That it secretly guides For thousands of years, one idea— Hermetic prime material geometry—stood as the foundation of science. A concept that survived civilisations lives on in the popular imagination, yet is rarely presented in its original scientific context. It's strange indeed that an idea once widely understood has become difficult to rediscover. Let's start the inquiry with the oldest known scientific principle: the First Prime of Universal Order—a point which is the 48 ¢ NEXUS www.nexusmagazine.com OCTOBER — NOVEMBER 2002