Excerpt from the book "Arqka Biological Architecture and Sacred Geometry" by Arturo Ponce de León, Ninón Fregoso and Michael Rice Acquire it here

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Next we will describe the contributions of some of the scientific thinkers who have been helping to evolve the paradigm of thinking towards a paradigm that reflects the objective reality. Pythagoras described mathematics as the universal language of nature. His major contribution was the Pythagorean Theorem and the basic precepts of Musical Theory (harmonic relations). Pythagoras traveled to Egypt where he studied with the Egyptian priests, possibly learned religious rites, mathematics and cosmological concepts from the ancient Egyptian tradition. The tetractys was the heart of the Pythagorean School and was the highest level of initiation for its students. It consisted in the triangulation of points such that together they generated geometry of four triangular levels that closely resemble the isotropic vector matrix of four frequencies of B. Fuller.

Eventually, for various reasons, the Tetractys was used by the mystical Kabalistic traditions to represent the Tetragrammaton which is the representation of the four flaming letters of God, clearly connecting the geometry of the Tetractys to the force of creation, the cuboctahedron.

Another great thinker was Plato, Greek philosopher and mathematician. He wrote extensively about the five basic forms that bear his name, although they were originated by the influence of the Pythagorean schools, the Platonic solids. In his book Timeous, Plato proposes the correlation of these forms to the four elements and the celestial kingdoms. Tetrahedron / fire, Octahedron / Air, Cube / earth, Icosahedron / Water, Dodecahedron / Ether. Plato’s ideas of the realms of perfection or ideal forms are also found in Rupert Sheldrake’s modern scientific theories about morphic fields (The presence of the past: morphic resonance and habits of nature, 1990), and in “The End of the Time “, by Julian Barbour, where the collector of configuration of Barbour is called Platonia, by the inspiration of the world of ideal forms of Plato.Eventually, for various reasons, the Tetractys was used by the mystical Kabalistic traditions to represent the Tetragrammaton which is the representation of the four flaming letters of God, clearly connecting the geometry of the Tetractys to the force of creation, the cuboctahedron.

Another great thinker was Plato, Greek philosopher and mathematician. He wrote extensively about the five basic forms that bear his name, although they were originated by the influence of the Pythagorean schools, the Platonic solids. In his book Timeous, Plato proposes the correlation of these forms to the four elements and the celestial kingdoms. Tetrahedron / fire, Octahedron / Air, Cube / earth, Icosahedron / Water, Dodecahedron / Ether. Plato’s ideas of the realms of perfection or ideal forms are also found in Rupert Sheldrake’s modern scientific theories about morphic fields (The presence of the past: morphic resonance and habits of nature, 1990), and in “The End of the Time “, by Julian Barbour, where the collector of configuration of Barbour is called Platonia, by the inspiration of the world of ideal forms of Plato.

The most famous student of Plato, Aristotle, who is considered the first Western scientist since he pursues an empirical study of nature, renouncing the traditional philosophical approach of pure logical reasoning. Plato has held the conviction that the Universe is a living system and that the musical attributes of harmony and rhythm can be described similarly to the relationships and movements of the planets and the Sun.

The Greek Euclid, one of the most prominent mathematicians of Greco-Roman antiquity, is commonly referred to as the “father of Geometry”. However, the interpretation of Euclid’s work in our time is one of the greatest contributions to the distorted vision resulting from applying mathematical concepts to physics, where the reduction of two dimensions of geometry has plagued the vision of modern science and this has result in erroneous conclusions about our world and the forces that govern it.

In addition to his role as tutor in the library of Alexandria, Euclides coined and structured several mathematical elements such as purism, geometric systems, infinite values, factorizations, and the congruence of shapes that were the outline of the “Euclidean geometry”. In addition to the Bible, “Elementos”, a series of thirteen volumes of text, is one of the most studied books published and produced in the western world.

Giordano Bruno is considered a heretical philosopher, for his scientific claims beyond the ecclesiastical vision of his time. He proposed heliocentrism, the plurality of planets (as of today there are 1,741 confirmed extrasolar planets); an isotropic universe and homogeneous, consisting of the same material everywhere. The same physical laws should operate everywhere (a primary precept of modern cosmology and special relativity). Giordano promoted the concept of Ether where empty space cannot exist. A modern vision of the conception of the quantum vacuum. And since all matter is contained in and made by the ether, it is not inanimate and has a quality of life and intelligence in all matter. A living universe. He also proposed an atomic theory of matter.

René Descartes lived during a period of European transition and made significant contributions to mathematics by unifying algebra and geometry with a coordinated Cartesian system. By allowing a point in space to be referenced as a set of numbers, and allowing algebraic equations to be expressed as geometric shapes in a two-dimensional coordinate system, therefore, shapes can be described as equations. Derived the laws of refraction explained in the rainbows. He developed the forms of algebra notation; promoted the skeptical methodology of science to not accept something without evidence. However, this two-dimensional mathematical model has poorly constructed the conceptual foundations from which academics and modern science have been based to this day, leading us to erroneous conclusions in certain critical areas of human knowledge.

Isaac Newton in one of his most famous works Philosophy Naturalis Principia Mathematica (1687), established the basis of classical mechanics. He described the movement of a falling object and the tides of the ocean on Earth and the movement of celestial bodies as the result of one and the same form, universal gravity. In addition, he described the dynamics of fluids where he calculated the speed of the sonic waves in the air. He calculated the relative mass of planets and comets from their gravitational force. His search for optics, refraction and color theory are extensive and foundational. He proposed the theory of Ether, a means through which forces are transmitted, as the means of propagation of electromagnetic waves.

Nikola Tesla was a Serbian-American inventor, electrical engineer, mechanical engineer, scientist and futurist. His work revolutionized the generation and distribution of electric power and his prolific innovations contributed too many advances in modern technology, such as neon and fluorescent lights, wireless communication, remote control and robotics. If it had not been for the corporate and political veto imposed on his work for the free and wireless distribution of electricity, perhaps today we would have popular gravitational technology.

Max Planck was a German theoretical physicist whose investigations of the radiation problem gave rise to the Quantum Theory, they won him the Nobel Prize in Physics in 1918.