the Tetrahedron and
the 4 Triplicitiesin the Being
In the chapter “Aspetti”, at the ¶. on the Third Harmonic, it is suggested that the same arrangement of the two axes relative to the 4 directions in space potentially encloses the ends of a solid with 4 vertices projected on a plane: the Tetrahedron precisely, splendid, sublime construct, as an admirable synthesis of all implicated properties.|
This magical structure, made up of four contiguous and exclusive triangular faces, takes straight the place of our question mark; and it is relatively easy to see how the logical processes examined so far apply to it naturally ... we just have to proceed.
Each of the 4 faces is limited by three sides and as such can well contemplate the three passages of each season. Let's start from a hypothetical base and from the midnight of the astrological year, assigning to each vertex the Signs in anticlockwise progression: we immediately define the "mapping" of the winter face, leaving the upper vertex free.
As you can see by crossing for a moment the intersection of the two axes in the figure as if it were flat, Earth () and Water () are opposed, while Air () awaits at the other end a Sign of Fire: what else if not the Aries (), the first Fire, which continues the sequence giving a spatial consistency to the basic triptych?
In the solid thus disposed, the latter goes to the top, as if the base praised its advent and in fact it is what happens, given that the material conforms, and each season prepares the next.
We have thus assigned to each vertex one of the Elements, in an immutable order.
The next step will consist therefore in attributing the subsequent Signs to the logic of the construct, respecting the guiding principle.
In order to delineate the incoming season on a succeeding basis, a rotation (constantly counterclockwise, like the horoscopic convention) of the solid must be made, therefore, given the meaning of the terms cardinal and fixed, all that remains is to pivot on the Capricorn-Aquarius side, moving the vertex located just in the mobile sign Fish and bringing Aries towards the plane, to start the new reference area.
Since the two faces are set against, as the orientation of the respective triangles on the support plane also reveals, the direction of rotation of the Signs is reversed and now the fixed is of Earth, previously occupied by Capricorn (as a seasonal hinge) and therefore from Taurus; after all, even the basic triangles with respect to the observation point are opposite, signifiers of a different polarity; of course, the pinnacle is now of Water and it pertains to Cancer.
At the third step the Fixed is of Fire and here the rotation of the solid, which takes place along the Aries-Taurus axis, proposes the inversion of the seasonal periplus to the counterclockwise motion: you can already notice the perfect correspondence in the positions of the antithetical signs (1/3) from face to face.
The last handle is now obvious; we have completed a picture of how the Zodiacal traits are modalized in relation to all possible formations which, from the simple revolving of two fundamental pairs, trace in any context of wave continuity the assumptions of a helical structure, also known as DNA.
It must be plain, in compliance with the schools of millenary tradition, that the normal fire and water are nothing but the most noticeable expressions of the respective principles and that right for this evidence the Names were drawn to indicate the matrices; that these in turn were called Elements, with a term of nature still eminently abstract today (being "in one's own element" means in one's natural environment and when we say: water is the natural element of fish we do not denote H2O with all its components, but a reality parallel eg to what air represents for birds; and I could go forth…
Since I consider fitting the definition given by a good Italian dictionary, I won't repeat the same research about this term through an English source but please, let me just translate it.
Even more so, from the «Dizionario della Lingua Italiana, G. Devoto - G. C. Oli»
Casa Editrice Felice Le Monnier S.p.A., Fi. ©1990
2. Each of the parts that concur to form an organic whole, a concrete or abstract unit: the e. of a radiator; break down a mechanism into its e.; the e. of knowledge. In linguistics, any part of a sentence that can be isolated from the others for analysis: decompose a period into its e. ~ In mathematics, each of the entities that belong to a given set: e. of a group, of a figure ~ In physical geography: e. climatic, e. meteoric, the entities by which the climate of a region (temperature, humidity, winds, atmospheric pressure, precipitation) and meteoric phenomena (pressure, humidity, nebulosity, wind, etc.) occur.
The term then ended up, right in the last century, with assuming a meaning that takes us away from the original understanding, leading it back to the first of the definitions given in the same Dictionary (not without the conceptual distortion occurred) mainly aimed at arguments of full-fledged physicality (just mention the Table of elements):
1. Simple, pure substance which before the discovery of radioactivity was considered not susceptible to decomposition by chemical or physical methods; according to the ancient: fire, air, water and land were the four constituent elements of the physical world ... In today's chemistry, pure substance in which all the constituent atoms have equal the number and arrangement of extranuclear electrons: e. chemical; e. native, the chemical elements found in nature as such (e.g. gold, copper, silver).
In essence, the flames of a stake, I repeat, are but one of the probable manifestations of the element Fire (an explosion could be the same), but it is fundamental to understand that it is also the warmth of a passion and all that it consumes or matures throughout each existence; difficult for a rational-sectorial speculation aimed at itself, to establish a common denominator to such a heterogeneous range of typologies, apparently unconnected.
1. That lends itself to an evaluation, or to an employment in the field of practice, or of sensible experience; ~ As s[ingular], m[asculine], the content of experience as a real object or applicable to the real: to come to c[oncrete]…
in c[oncrete terms], referring to the pure and simple reality of the facts.
2. a c[oncrete] Name, which indicates a real being or object; opposite to abstract, indicating only qualities or ways of being (…).
4. literal (not common). Consistent, solid | Clotted , condensed.
-etim- From the Latin concretus (past participle of concrescere) "thick, coagulated".
The element Air not only alludes to what you can breathe or through which you can fly, but every aspect of gaseous consistency, which in turn may be nothing else than a fluid substance subjected to the action of Fire; by translation the nervous currents and the same flying with thought are of an aerial nature; Didn't Rudolf Steiner relate thoughts to the conforming of bird plumage?
Whilst the mineral kingdom can be interpreted as resulting from a lack of Fire, the sap that rises and swells the arboreal stems in the spring e.g. it is a mixture of Water and Fire, in quality of power and propulsion; even good wine is so though with very different premises and effects and certainly, there, it's the fire that excels (if it were for only water ...); but the magma of a volcano is more fire or water? or rather earth at a melting temperature? all concepts separable at our gaze, but perhaps not at that of a global Mind, capable of conceiving everything in its most ...
elementary formulation! precisely.
However you want to frame it, here's how the matter is retraced to the eyes of today's science:
It was not at all easy to create this scenography in terms of readability, nor to establish a rule for the best arrangement of the symbols without overlapping them, in order to facilitate their immediate perception whether they are words, ideograms or figures, just to because of its representative character. I redesigned special zodiac characters, as suitable as possible for this manipulation; and although the 3-angle radial orientation was more appropriate, the overall impact was too compromised for the difficulty of distinguishing the members of the various faces in transparency, so I opted - not without a fair disappointment - that they resulted in vertical pose as normal text and also addressed to the reader from the rear facade: the first of the two underexposed, so to speak.
Moreover, the same three-stage rotation of the entire figure replaces the effort to figure the unfolding of the zodiacal sequence in the spatiality of the solid, from the side of each individual facade.
Nonetheless, I consider of such importance what emanates from this scheme, for the purposes of mental perception and consequent reflections, to have dedicated days to its conformation; if this conceptual approach to knowledge was essential centuries ago, in the absence of tools that allowed us to go further than the atom, today that the tools are there it is even more, since the systematic investigation, connected mostly by statistical categorizations, does nothing but expand a fragmentary, utilitarian but not conclusive encyclopaedism regarding what lies beyond the hedge.
As for the unusual character that denotes the Elements at the 4 vertices, it reminds us once more that in them they are not discernible physical-chemical components or biological agents whatsoever, nor cells, atoms or finished substances, but compositional qualities in essence; the result of dynamics located far upstream of any earthly phenomenon, such as to delineate the nature, functionality, and purposes of any existing act, whatever the form assumed in the created by the corresponding mass-energy; real and autonomously endowed Forces, are differentiated expressions of the Intelligence supreme, which envelops in the plot of the 4 different directions and in the multiple warp that derives the vectors of each combinatorial and realizing manifestation.
Of each Entity, the particles or atoms or in any case the most representative subjects on the material plane, even when recognized as such, are to be considered only the last links of a chain, still unexplored; and it will become even clearer with the now coming awareness of the fifth Element: the Ether, synergistic crossroads of the system, already discussed in the essay I have published in 2002 on the “5 Tibetan Rites”.
Did our ancestors mistake it for a substance sui generis? this should shed light on the way of considering the ancient sentences; whether they had equipment [like ours] or not, depending on the type of civilization and approach, the brains were present then as they are today - and what we inherited proves it when it is not subject to alterations, if nothing else for the absence of tools we are used to - with the main difference upholded by many factors, that compared to the following centuries up to the last one they were more enlightened and certainly in a state of lesser methodological conditioning.
It may help to imagine other worlds (and there is a good deal of it, in such a vast universe) in which the structure of matter can be diversified, in degree to degree of the vibratory evolution of Energy itself; the aforementioned emanations of the Creator Principle, Beings themselves although of a nature still inconceivable for us (but not unapproachable), will manifest themselves according to the same harmonic assumptions, covering themselves with substances of their respective dimensions; particles and aggregates other than terrestrial ones, but able to develop physical life in the slowed down dimension of the inherent planetary Sphere.
As far as I was given to know, that's right what happens, nunc et semper.
“The cellular reproduction is made possible by the duplication of the genetic code DNA contained in the cell nucleus.
Genetic memory arises from the combination of only four basic elements, taken three by three and placed according to a precise sequence and geometric composition: it is a code that distinguishes, without any exception, all biological organisms on Earth and is composed of the DNA molecule, a dynamic double helix-shaped structure.
DNA comprises many successive segments, each of which contains the information necessary for the duplication of itself. It is the specific sequence, that is the particular combination of these segments, each .. given by one of the possible combinations of the only four bases of the DNA, that provides the information of the infinite forms of nature. ”
(from «La futura scienza di Giordano Bruno», by Giuliana Conforto - ed. Noesis 2000)
Shooting on the fly, during a nanotechnology research:
from: … a method for assembling molecules …Molecular prefabricated structures can be connected and assembled together, through molecular strands of DNA or other substances, fixed to specific attachment points on the surfaces. In those created so far, however, explains the prestigious scientific journal Physical Review Letters, the number and arrangement of the attachment points were fixed: four points strictly at the top of an ideal tetrahedron inscribed in the colloidal particle.
(1st version; link updated 2020 – Bologna, University)
This eloquent illustration also deserves a careful look:
Schematic representations of synthesizing polymer-DNA tetrahedron conjugate and temperature-induced formation of micellar superstructure from poly(NIPAM) attached DNA tetrahedron. Reproduced with permission . © 2013, American Chemical Society. A new and significant reference is given by the deepening of the study on the Sri Chakra yantra, matured in 2020 in a new fascinating site: Sri yantra top level dedicated to meditation, but not only that!