In this article we will begin a four-part series on the geometry of DNA, the molecule of life. The golden ratio and dodecahedron play an important role in DNA that we will discover as we move through these articles.
Once again, notice the importance of geometry, particularly Platonic solid geometry in the structure and function of DNA.
DNA – The Molecule of Life
Deoxyribose Nucleic Acid (DNA) is an informational molecule that holds the genetic code to all living organisms.
It was first discovered by Swiss biochemist Friedrich Miescher in 1869.
Later, in the 1940s, bacteriologist Oswald Aver and colleagues figured out it is our genetic blueprint.
Then, in 1953, it was thought that the double helix structure was discovered by American biologist James D. Watson and English physicist Francis Crick. However, as Robert Lawlor states, “It is now well documented that Crick and James Watson, by deceptive means, gained access to the work of a brilliant female scientist, Rosalind Franklin, who was working contemporarily in a separate laboratory in London.”
Most of the DNA resides in the mitochondria (organelles that generate metabolic energy) rather than the cell nuclei.
Mitochondria of the cell
There are trillions of cells in the human body – approx. 10^14 (or 100,000,000,000,000).
Each cell has 46 human chromosomes, grouped into 23 pairs.
There are 3 billion DNA subunits (nitrogen base pairs held together by a hydrogen bond):
Adenine-Thymine, Cytosine-Guanine.
There are 80,000 gene codes for proteins that perform all life functions.
Professor and physical chemist Graham Cairns-Smith has noted that DNA and RNA cells are “similar to a vast library of stored information.”
Originally it was thought that the purpose of DNA was to encode protein sequences, but it has been found that at least 95% of DNA does not do this. This non-protein coding DNA was called “junk DNA” and was labeled as worthless. The higher purposes and meaning of this DNA is only now being discovered and brought to light.
Experiments have proven that DNA captures and stores light for healing, growth, and evolution. It is increasingly being understood that DNA is storing and releasing trapped light, or photons, and every living organism participates in this process. This aligns perfectly with the philosophy of the esoteric stream of knowledge that light, or photons, are encoded with information by consciousness. Consciousness encodes light; light encodes DNA; DNA guides the growth and transformation of life.
Elsewhere on this site we discuss the work of Dr. Sturart Hameroff and Dr. Fritz Popp concerning the microtubles of the human cell and how they act as ‘light guides’. Robert Lawlor explains, “Microtubules are tiny, hollow, cylindrical bodies, less than 270 angstroms in diameter, which move in mysterious, rhythmic ways within the cell, dissolving and reappearing, yet structurally active in the contractile mechanism of the cell membrane. Hameroff has suggested that these small tubes should be considered as bio-resonators, because he has calculated that they may resonate at close to the ultraviolet light frequency of ten to the sixteenth hertz. He points out that their outer layer of skin is translucent and light refractive, admitting ultraviolet light into the tube, and suggests that, once inside, this light could be resonantly amplified by the microtubule and so be transmitted as an active force in the body. It has even been proposed that the ultraviolet light communication may be a primary regulator in all cellular processes and may even act to guide the DNA molecules to the right place in the double helix structure.
It seems also that the instructions which regulate cellular mitosis and the body’s replacement of millions of old cells with new cells each second may be carried into the body by electromagnetic waves through the affinity of bio-resonators just such as these microtubules.
DNA is the ‘blueprint of life’ in the quantum field. It is made out of a wave (just like all in physical reality).
The electromagnetic wave has two axes: the magnetic and electric. These spiral around one another at 90 degrees to each other.
These two aspects create a single spiraling wave or ‘straight-line spiral’ that moves through space.
Now look at the double helix again:
“The living spiral of space, time, form and number [is seen in the double helix]. There are five base pairs inside a 180° half turn of the DNA spiral, and there are six base pairs framing a half turn of 180°. This ratio of 6:5 is as structurally basic to the encoding of living cells as it is to the laws of geometry.
This ratio of 6:5 converts the Golden Mean division squared (φ2 = 2.618) back into the function of the perfect circle π = 6/5 x φ2 = 3.1416. One might suggest that within the Yuga spiraling of time there is encoded the possibility of perfecting embodied consciousness prior to its reabsorption within the Original Unity.”
Here we can see the symbolism of the Yuga spiraling of time as the macrocosm. Within this spiral of cosmic time is embedded the potentials of the transformation of the consciousness of humanity. DNA in this case is the microcosm. Within the spiral of the DNA is embedded the potentials of the transformation of the individual human.
As we continue this series on DNA we will discover how fascinating the true role of DNA is that plays in our lives and the universe.
Measurements of DNA
- The total length of DNA in 1 cell: 6.4×109 × 3.4×10-10 meters ≈ 2 meters.
- The total length of DNA of all cells in human body: 2 meters × 1014 = 2×1014 meters.
- The total length of the DNA strands in the human body in units of Pluto round trips is: 2×1014 meters / 1.2×1013 meters/Pluto round trip ≈ 17 Pluto round trips.
- This means there’s enough DNA in the human body to stretch from the sun to Pluto and back, 17 times!
The planets spiral helix-like through space as they revolve around the Sun.
- The total length of the DNA strands in the human body in units of 1×1010 statute miles is: 2×1014 meters / 1.6×1013 meters/1010 statute miles ≈ 12×1010 statute miles.
- The total length of the DNA strands in the human body in units of Moon round trips is: 2×1014 meters / 7.7×108 meters/Moon round trip ≈ 2.6×105 Moon round trips.
- If you could unwrap the DNA you have in all the cells in your body, you would be able to reach the moon and back 260,000 times!1
DNA Miscellaneous ‘Fun Facts’
The spiraling motion of Sirius A and Sirius B are identical to the geometries of the DNA molecule.
Credit: Mike Guidry, University of Tennessee.
“This makes you suspect that perhaps there’s a relationship in the unfoldment of things, that events happen according to some kind of larger plan, similar to the unfoldment of a human body guided by the information within the DNA.”2
***
The two chains of DNA resemble two snakes coiled around each other in an elaborate courtship ritual.
“The serpent represents the creative Universal energy,” writes Freddy Silva in Secrets in the Fields, “and for this reason the Aztec, Mayan/Toltec god Quetzalcoatl is depicted as such (Coatl represents energy moving in waves or spirals, a precursor to the electromagnetic wave of science); the coiled serpent is also known as kundalini, the life force that rises from the base of the spine, stimulating the chakra system, as it spirals toward the crown chakra in the top of the head…However the coils of the serpent are also symbolic of positive and negative polarities, the force of disorganization and transformation.”
Our DNA structure, then, is highly intertwined with the evolution of our consciousness, and the caduceus reflects that by symbolizing the spiraling turns of DNA and the spiraling evolution of consciousness and soul.
Gyorgy Doczi writes, “Hermes or Mercury, messenger of the Greek and Roman gods, had two snakes winding around his magic wand, the caduceus, tool of his healing power, and even today professions connected with healing use this dinergic symbol as their emblem. Hermes was also the guide of the departed to the afterworld, and the intertwined spiraling snakes of his magic wand may also symbolize the intertwined mystery of life and death.”
***
The Anu, discussed in our section on “Aether Units” is the toroidal flow processes of consciousness and matter. It can also be a symbol for DNA. While the internal coil reflects the double helix, the outer coil resembles the dual chambers of the heart.
***
“Forty-two plus two represents the number of chromosomes of the first level of consciousness. Your chromosomes are geometric images and patterns that describe the entire Reality – not just your body, but everything in the Reality, from the most distant planet to the smallest plant and every single atom.”3
This relates to the Tool song Forty-six and Two refers to the supposed 5 levels of human consciousness on earth.
First level: 42 + 2 chromosomes
Second level: 44 + 2 chromosomes (our current level; third density)
Third level: 46 + 2 chromosomes (where we are moving – a more enlightened level of consciousness; fourth density)
Fourth level: 48 + 2 chromosomes (fifth density)
Fifth level: 50 + 2 chromosomes (sixth density)
Here are the lyrics to Forty Six & 2 which clearly describe a process of transformation within one’s own consciousness. The ‘shadow’ represents all of our doubts, fear, regrets, angers, hatreds, jealousies, unresolved traumas, unrelenting grudges and the unforgiving aspect of our mind.
“My shadow’s
Shedding skin
I’ve been picking
Scabs again.
I’m down
Digging through
My old muscles
Looking for a clue.
I’ve been crawling on my belly
Clearing out what could’ve been.
I’ve been wallowing in my own confused and insecure delusions
For a piece to cross me over
Or a word to guide me in.
I wanna feel the changes coming down.
I wanna know what I’ve been hiding in
My shadow…
Change is coming through my shadow.
My shadow’s shedding skin
I’ve been picking
My scabs again…
I’ve been crawling on my belly
Clearing out what could’ve been.
I’ve been wallowing in my own chaotic, insecure delusions.
Change is coming.
Now is my time.
Listen to my muscle memory.
Contemplate what I’ve been clinging to.
Forty-six & 2 ahead of me.
I choose to live and to grow,
Take and give and to move,
Learn and love and to cry,
Kill and die and to be paranoid and to lie,
Hate and fear and to do
What it takes to move through.
I choose to live and to lie,
Kill and give and to die,
Learn and love and to do
What it takes to step through.
See my shadow changing,
Stretching up and over me.
Soften this old armor.
Hoping I can clear the way
By stepping through my shadow,
Coming out the other side.
Step into the shadow.
Forty-six & 2 are just ahead of me.”
Bonding of DNA Molecules
Two types of bonds determine shape and form of DNA: Covalent and Hydrogen.
Covalent bonds are seen as straight lines. Hydrogen bonds are seen as dotted lines.
Covalent Bonding
Covalent bonding links two atoms through shared electrons.
This results in a stable balance of forces.
It also allows the completion of an unbalanced outer electron shell.
These are strong bonds used in the construction of the helical backbone of the DNA molecule.
Hydrogen Bonding
Hydrogen bonding is an attraction between hydrogen atoms and nitrogen or oxygen atoms.
Nitrogen and oxygen are electronegative. Hydrogen is positive.
This bond links the chain of nucleotides.
It is a weaker bond that allows the strands to be separated with far less force, leaving the strands themselves intact during DNA replication.
DNA Replication
DNA replication refers to the process where the two strands of the DNA are separated or unzipped by enzymatic action.
The shape of enzyme molecule determines its chemical function.
“In other words,” as Randall Carlson states, “the catalytic function of enzymes depends upon their geometry.”
Each strand of the original DNA molecule serves as a template for the production of its counterpart.
“Biologically we may look to our ideas of genetic coding as the vehicle of replication and continuity, but this coding does not lie in the particular atoms (or carbon, hydrogen, oxygen and nitrogen) of which the gene substance, DNA, is composed; these are all also subject to continual change and replacement (just as every atom of every molecule of both living and inorganic substance is being changed and replaced every moment to moment). Thus the carrier of continuity is not only the molecular composition of the DNA, but also its helix form. This form is responsible for the replicating power of the DNA.
The helix, which is a special type from the group of regular spirals, results from sets of fixed geometric proportions. These proportions can be understood to exist a priori, without any material counterpart, as abstract, geometric relationships. The architecture of bodily existence is determined by an invisible, immaterial world of pure form and geometry.”4
Dr. Mark White teaches that the ideal form of a DNA molecule is a double helix.
The ideal form of the double helix is a dodecahedron – stacked and rotating dodecahedra to be more preciese. Therefore the ideal form of the genetic code is also a dodecahedron. We will discuss in greater detail in the next couple articles.
Credit: Mark White
Robert Lawlor writes: “The reproductive DNA codes occur not only in the sperm and ovum but have also been discovered as 6-foot-long, tightly coiled microscopic double strands in each cell of the body. This code contains 5000 million words made from combinations of four nucleic bases: A, U, C, G. There are 32 code words on one of the double strands and 32 anticode words on the other. The coil itself has twelve “stories” or spiral twists.”
The 32 code words and 32 anticode words = 64. The importance of this number is discussed below. The coil having 12 stories or spiral twists relates to the 12 faces of the dodecahedron.
Nucleotides
Nucleotides are components of DNA.
Each serves as a letter in the genetic alphabet.
They are composed of three substances:
- Deoxyribose sugar molecule
These have a ring structure.
They consist of 5 carbon atoms and 1 oxygen atom.
They are arranged in a pentagon.
- Phosphate molecule
These consist of 4 oxygen atoms and 1 phosphorus atom.
They form a cross with 4-fold symmetry.
- Nitrogen base molecules – 1 of 4
These are ring molecules.
They consist of carbon and nitrogen atoms.
They form hexagons or hexagon and pentagons combined.
The deoxyribose sugar-phosphate strands provide structural support.
The nitrogen bases provide genetic information.
Nitrogen base molecules
Purines
These include Adenine and Guanine.
They are hexagonal rings bonded to pentagonal rings.
Adenine – C5H5N5
Guanine – C5H5N5O
Pyrimidines
These include Cytosine and Thymine.
They are hexagons.
Thymine – C4H6N2O2
Cytosine – C4H5N3O
Adenine always links to Thymine.
Guanine always links to Cytosine.
Dr. Mark White teaches that these four nitrogen base molecules relate to the four sides of a tetrahedron. The points of a dodecahedron provide a logical way to group tetrahedrons and a tetrahedron provides a logical way to group the points of a dodecahedron.
He therefore states, “The dodecahedron is a natural and phenomenally good compressor of tetrahedrons. In virtually no more space than a single tetrahedron, a dodecahedron can be made to represent 120 unique tetrahedrons. The difference between one tetrahedron and the next is simply its spatial orientation.”5
Credit: Mark White. See Article 170 for more info.
They symmetry of the tetrahedron provides the foundation for information. Symmetry breaking provides the information.
“The information structure of the genetic code is an ingenious system for squeezing every last drop of information and utility out of every sequence of nucleotides. The combination of symmetry and symmetry breaking achieves a remarkable feat of logically tying together six seemingly random reading frames.”6
The Vesica, 5 and 6 – Union of the Hexagon and Pentagon
This geometric construction was originally published by Albrecht Durer in Course in the Art of Measurement with Compass and Ruler. It was later republished in Charles Bouleau’s The Painters Secret Geometry & John Michell’s The City of Revelation.
This construction symbolizes the emergence of the Universe (6) and Life (5) from the cosmic womb of creation.
The Union of 5 and 6 or the entering of 6 (the physical) into 5 (the metaphysical) also produces an interesting relationship between phi (the Golden Ratio) and pi (the Perfect Circle) that we briefly touched on above:
6/5 x φ2 = π
1.2 x 2.618 = 3.1416 = π
Phi is associated with the formation, growth, transformation and perfectibility of the physical, natural and conscious world. Phi is the spiraling journey.
Pi is the ultimate direction identification, beginning and ending or re-absorption of the entire creation into its unique absolute united source. Pi is the source and destination.
“In other words,” writes Robert Lawlor, “these two geometric principles describe the nature and destiny, the process and the goal, of these burning, churning, whirling spheres that inhabit the unlimited incomprehensible blackness of this universe.”
This ratio of 6:5, found in the DNA molecule, therefore harmonizes the geometry of the golden ratio and pi, symbolizing the possibility of perfecting embodied human consciousness (symbolized by pi – 3.1415 – the ratio of the ‘perfect circle’) by the use of the ‘Eternal Law’ of the golden ratio.
Pythagorean teachings were founded upon the idea of this “Eternal Law”, active in both Time and Space, that presented itself as the proportional principle of the Golden Mean. In other words, each creature must discover its preordained function in relationship with all other creatures, as well as by participating and supporting the ‘Divine Plan’ and ‘original purpose of creation’.
“The reconciliation of six and five and many of the other objects of sacred geometry may be achieved by means of the figure known as the vesica piscis.”7
Master geometer Randall Carlson remarks of it, “The reconciliation of six and five refers to the potential to develop, from the Vesica as a starting point, polygons of six and five sides, as well as many of the other polygons, with all their symbolic connotations and unique properties.”
The hexagon is easier to draw and precedes the pentagon.
This represents how the cosmos had to exist before humankind could emerge from the combination of matter and energy generated through the evolution of the universe.
This pentagon-hexagon connection is also revealed in the structure and function of our DNA as seen in the connection of Adenine and Guanine as hexagonal rings bonded to pentagonal rings.
This pentagon-hexagon connection is also seen abundantly in the molecular world in many, many other types of molecules. Review the previous article (167) for that information.
As Dr. Mark White writes, “The universe of molecular information is far more complex and far more opaque than the universe of heavenly bodies. The job of science is to help us understand our place in the universe.”
Reference Construction Lesson #9: The Pentagon and Hexagon in the Vesica Piscis.
Codons
Codons are groups of nucleotides.
They serve as a code word for protein synthesis.
There are 64 possible combinations (43).
These combinations provide codes for the formation of 1 of 20 amino acids used in the protein construction. These 20 amino acids are often referred to as the building blocks of living organisms.
“There are dozens of types of amino acids but life uses only 20. The properties of a given protein depend on the precise sequence of amino acids that form it, and that sequence is specified by a segment of DNA. Translation between the four-letter alphabet of DNA and the 20-letter alphabet of proteins requires a code. Known simply as the genetic code.”8
Mainstream science maintains that this genetic code was cracked in the 1960s.
This brings us to the idea that the code many contain hidden mathematical patterns.
“Peter Jarvis of the University of Tasmania presented evidence some years ago that a property known as supersymmetry lies buried in the arrangement of the 64 coding assignments. Why such a pattern would be embedded in the code of life is a complete mystery.
Because the origin of the code, along with that of life, is lost, there is plenty of scope for speculation. Is there a code within the code, pointing to deep organizational principles yet to be uncovered?
Is 64 merely the tip of a numerical iceberg concealing a web of mathematical subtleties? The Greek philosophers would surely have agreed: to paraphrase Pythagoras, number is within all living things.”9
Dr. Mark White is one such scientist who has discovered the code within the code – and it is dodecahedral!
The Importance of 64
Here are some of the most commonly known 64 numerical systems. Each of these are discussed in detail in other articles of Cosmic Core:
64 Tetrahedral Grid – The Isotropic Vector Matrix
64 Transformation of the I-Ching
Martin Schonberger in his convincing book The I Ching & the Genetic Code has revealed a scientifically acceptable identicality between human DNA and this millenarian Chinese book of prophecy, as both have numeric and structural correspondences.
64 Sexual Arts of the Kama Sutra
64 Squares on a Chess Board
64 Octaves of music = 1 Octave of Octaves
The number 64 (43) and the multiples of 4 are not only fundamental to the languages of musical harmonics, sacred geometry and crystal formation, but also to the interval pattern of both the precessional cycle and the Yuga cycle.
What does it mean to Know Something?
We will finish up this article with an excerpt from Dr. Mark White’s paper Everybody Knows the Genetic Code: An ornery myth of science.
“The genetic code is another one of those things that everybody [thinks they] know. It is now an established fact of science that the genetic code is simply the conversion of molecular sequences – a simple conversion from nucleic acids to amino acids. Everybody knows that the genetic code is linear, one dimensional, and so it is wholly embodied in a single table of data known as a codon table. The idea, of course, is derived from other ideas, and it is bolstered by dictums, such as ‘sequence determines structure’ and ‘molecular information is sequence.
The remarkable simplicity of the whole idea behind the genetic code allows us to view DNA as the elusive central ‘secret of life’.
Irresistible speculations are derived from our knowledge of the genetic code, speculations regarding its origin and evolution which lead to still larger speculations of life in general. There are philosophical musings about the genetic code’s true ‘meaning’ and how this meaning places life awkwardly within the grand puzzle of the entire cosmos – the bond between physics and metaphysics.
Ironies abound. For instance, despite its simplicity, universality and central importance within the impenetrable complexity of life, the genetic code is to be considered linear and mostly arbitrary, the result perhaps of a single chance event, a miraculous accident so powerful that it is now essential to all living cells. We don’t know how it happened, but we do know that it did happen and probably only once; otherwise, we could not possibly see it the way we do now…
Dr. White goes on to say, “Mostly, what we have today is not truth or knowledge but dogma and false knowledge. The dogma insists that we must know a non-linear phenomenon strictly as if it were linear.
We do, however, know what the genetic code is not. It is a fairly reliable diagnosis of exclusion, and that is at least something. The genetic code is not simple; it is not linear, it is not one-dimensional, it is not universal, it is not arbitrary, and it is not frozen out of the heat competition for organic materials today.
Most importantly, the genetic code is not a codon table. Codons do not equal amino acids. One-dimensional strings of amino acids do not equal proteins. Proteins can and do fold in many ways. Sequence does not determine structure. Molecular information is not merely sequence. Molecular information is not simple; it is complex in both time and space. Molecular information is non-linear and involves structure through time…
The real secret of life is the relationship between DNA and protein. The relationship between DNA and protein is Platonic [dodecahedral – See Articles 169-170].”
“The genetic code need not have arisen only once on earth and then became frozen. The genetic code perhaps converged, and now continues to compete aggressively within that logical channel of convergence.
The amount of information translated from DNA to protein is yet unknown, primarily because a working definition for molecular information is yet unknown. However the fractal nature of molecular information is apparent. The relationship between time and information is also apparent: molecular information increases with time. This probably holds true for protein synthesis as well, but only if the genetic code is properly understood, and it obviously is not.
It is an ornery myth of science that everybody knows the genetic code. The pathetic truth is that nobody knows the genetic code, and the prospects for knowing it in the near future are bleak, made all the bleaker by the fact that seemingly nobody can admit that they don’t already know it.
Regardless, the elegant truth will only be known when the ornery myth finally dies.”10
Conclusion
In this article we are beginning to take a look at the structure of DNA. We are already seeing the extreme importance of hexagons and pentagons in DNA structure and we have noted that the geometry itself determines the function of the molecular bonding.
We have mentioned the 64 codons in DNA protein synthesis and the 20 amino acids involved. We will take a deeper look at these aspects of DNA as we move through this series of articles.
- http://skeptics.stackexchange.com/questions/10606/length-of-uncoiled-human-dna
- Melchizadek, Drunvalo, The Ancient Secret of the Flower of Life, Volume 1, Clear Light Trust, 1998
- ibid.
- Lawlor, Robert, Sacred Geometry, Philosophy & Practice, Thames & Hudson, 1982
- White, Mark MD, How to stuff 120 tetrahedrons into a single dodecahedron, http://www.codefun.com/Geometry_dodec120.htm
- White, Mark MD, Symmetry and Information, http://www.codefun.com/Geometry_information1.htm
- Michell, John, The Dimensions of Paradise, Inner Traditions, 2nd edition, 2008
- Davies, Paul, The 64 question that’s central to life, Cosmos Magazine, 19 October 2017, https://cosmosmagazine.com/biology/the-64-question-that-s-central-to-life
- ibid.
- White, Mark MD, Everybody Knows the Genetic Code: An ornery myth of science, Rafiki, Inc. 2008, http://www.codefun.com/Genetic.htm
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