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, the double helix structure was discovered by American biologist James D. Watson and English physicist Francis Crick.
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):
There are 80,000 gene codes for proteins that perform all life functions.
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.
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:
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
“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.
I’ve been picking
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
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 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 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 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. 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
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
These include Adenine and Guanine.
They are hexagonal rings bonded to pentagonal rings.
Adenine – C5H5N5
Guanine – C5H5N5O
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 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 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
64 Sexual Arts of the Kama Sutra
64 Squares on a Chess Board
64 Octaves of music = 1 Octave of Octaves
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
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.
- Melchizadek, Drunvalo, The Ancient Secret of the Flower of Life, Volume 1, Clear Light Trust, 1998
- 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
- White, Mark MD, Everybody Knows the Genetic Code: An ornery myth of science, Rafiki, Inc. 2008, http://www.codefun.com/Genetic.htm