In this article we focus specifically on the human heart and all aspects of related geometry, particularly the spiral and a new form, the Chestahedron, discovered by artist Frank Chester. We will also discuss how the spiral form of the heart relates to is function. The heart, it turns out, is not a pump, but a vortex generator.
The knowledge of men of heart bears them up; the knowledge of men of body weighs them down.
Let us first take a look at a human heart and its basic parts.
The heart is divided into four chambers: upper left and right atria; and lower left and right ventricles. Blood (in healthy hearts) flows in only one direction. Heart valves prevent backflow.
The Human Heart and 72 bpm
Robert Lawlor comments on one of the significant aspects of the number 72 and its relationship to the human heart: “The late Professor Lewis Balamuth, who was a leading sonar physicist in the U.S. for many years, calculated that 72 beats per minute constitutes a frequency pattern which lies exactly at the mid-point of all measurable frequencies in the entire universe, from the smallest microwaves to the vast gravitational and radio waves.
In Egypt this Principle of eternal balance and equilibrium at the heart of creation is symbolized by the great feminine winged Neter, Maat.
Maat is associated with the word tkh, signifying everything that oscillates or vacillates. Tkh is written with the sign of the plumb-bob, which is in turn often fashioned in the form of a little jug which signifies the heart and is hung from a feather, the symbol of Maat. The plumb-bob determines the vertical and symbolizes the principle of equilibrium that makes possible the mechanism of the scales, which are in turn the symbols of discretion, selection and judgment.
The feather symbol of Maat supports the oscillating plumb-bob and, because vibration is nothing more than rapid oscillation, this ideogram reminds us that every living body vibrates physically and that al elemental or inanimate matter vibrates molecularly or anatomically and that, since every vibrating body emits a sound, all such vibrating bodies are thus musical in the widest sense of the word.
The human heartbeat itself, which is normally seventy-two beats per minute, is in effect the plumb-bob of the vibratory universe – for as Lewis Balamuth has pointed out the rate of seventy-two oscillations per minute falls exactly on the midpoint of a chart which scales all observed vibrational periodicities, from ultrasonic, subatomic vibrations up through the vast, galactical, rhythmic frequencies [pictured below]. The human heartbeat, in other words, is literally the center of a vibrating cosmos.”
Human Heart
The human heart is a dexterous (left-spinning) spiral vortex.
It is composed of layers of muscles that vary from 1 to 7.
“As seen in an MRI of the heart, the fibers of the surface epicardial layer spiral clockwise and the fibers of the subendocardial layer spiral counterclockwise and all three layers of the heart twist forming a vortex at its apex. The spiral shape of the fibers of the heart and its overall vortex shape help to spin the blood through the vessels. The layers of muscle spiral around each other, following the golden-mean ratio. Since the heart is shaped like a vortex, it naturally produces the Golden Mean.”1
Credit: Frank Chester
The Human Heart: Application of the Golden Ratio and Angle
In 2011, a group of scientists discovered that vertical and transverse dimensions accord with golden ratio in healthy hearts.2
Mitral annulus dimensions in ventricles accorded with the golden ratio in healthy hearts.
Angles between the mid-luminal axes of the pulmonary trunk and the ascending aorta continuation and between the outflow tract axis and continuation of the inflow tract axis of the right ventricle approximate the golden angle.
In severe pulmonary hypertension the angle is significantly increased.
The golden ratio angle represents optimum pump structure and function efficiency.
“It is of interest here to point out,” Keith Critchlow mentions, “that the ancient Chinese character for heart also signified mind, and was rooted in their belief that heart and mind were inseparable – the seat of the intellect is in the heart.”
This relates to the ancient Egyptian concept of the “Intelligence of the Heart” that we discussed in previous articles. This includes the physio-philosophical notion of the “heart-mind”. It must be through the blood, and hence by means of the heart, that information is brought to the brain and nervous system concerning chemical and other factors leading to homeostatic decline or maintenance. The heart from this point of view may be considered as the major source of reinforcement and therefore fundamental to all learning. A Memphite physician over 4500 years ago wrote: “It is the heart which causes all decisions to be made, but it is the tongue which reports what the heart has thought.”
Untying the Knot of Human Heart Formation: Your Heart is a Double Helix Spiral, Unfolds along Embryo Heart Folding Patterns
Laura Maaske Msc.BMC, Medical Illustrator and Medical Animator, discovered that the human heart is a double helix spiral and it unfolds along embryo heart folding patterns.3
Credit: Laura Maaske – The folding structure of the heart
She shows on the Medimagery website a fascinating and beautiful series of illustrations that show just how the heart folds and unfolds in a spiral form. Please click the link to see for yourself.
Dr. Gerald Buckberg, MD tells us, “When I looked at the heart for the first time I saw a circumferential basal loop. And then I saw a descending limb and an ascending limb. And they curl around each other at a helix and a vortex, except for the ventricle. And the angles at which they go is about 60 degrees. 60 degrees down and 60 degrees going up, and they cross each other in that way. For years people had wondered why this happened. I realized this is really a spiral. And I began to think about spirals. And I began to understand that spirals are almost the master plan of nature in terms of structure and in terms of rhythm… if you pick the middle of the spiral up you form a helix. And of course the heart is a helix.”
The human heart in its evolved form is a flattened tube, and behaves like a rope as the muscles wrap and squeeze blood. But it is a very complex knot, the dissection of which was not even achieved until the early 2010’s, with Torrent Guasp.
Now we will examine the function of the heart in more detail. It is a commonly held thought that the heart is an electrical pump that pumps blood through the entire body. However there are many problems with this idea. It has been found that the heart is not a pump. It is a vortex generator that spirals blood through the circulatory system.
We will now discuss these ideas, as expounded by a group of scientists (R. Marinelli, Fuerst, van der Zee, McGinn, & W. Marinelli) in their published paper below.
The Heart is Not a Pump: A Refutation of the Pressure Propulsion Premise of Heart Function4
The heart weighs approximately 300 grams.
It is supposed to “pump” 8,000 liters of blood per day at rest – much more during activity – without fatigue.
This is analogous to lifting approximately 100 lbs. one mile high!
The heart is supposed to “force” the blood with a viscosity five times greater than that of water through millions of capillaries with diameters often smaller than the red blood cells themselves!
The propulsive force of the heart remains a mystery.
If the heart really does not furnish the blood with the total motive force, where is the source of the auxiliary force and what is its nature?
Overview:
Blood has its own form, the vortex, which determines rather than conforms to the shape of the vascular lumen and circulates in the embryo with its own inherent biological momentum before the heart begins to function.
Blood is free to pulse radially and longitudinally and is not subject to the pulse-restricting pressure implied in the pressure propulsion concept.
The blood is not propelled by pressure but by its own biological momenta boosted by the heart.
When the heart begins to function, it enhances the blood’s momentum with spiraling impulses.
The arteries serve a subsidiary mimical heart function by providing spiraling boosts to the circulating blood.
In so doing, the arteries dilate to receive the incoming blood and contract to deliver an impulse to increase the blood’s momentum.
Left Ventricle Thickness
Leonardo da Vinci (1452-1519) thought the left ventricle was of uniform thickness – as one expects to find in a pressure chamber. Though hundreds of years old, and no longer accurate, this idea still has a strong hold on modern concepts of the heart.
However, the thickness varies by around 1800% from 0.23 cm in the apex to 4.3 cm in the equatorial area.
The apex (bottom point) wall is so soft and weak it can be pierced by an index finger.
This is not in keeping with a pressure generator.
The thin, flexible cone shaped apex and suspension from the aorta suggest the accommodation of a twisting function especially when taking into account the spiral orientation of the myocardial muscle layers.
The major portion of our knowledge of cardiac dynamics has been deduced from pressure curves – this leads to multiple problems.
The aortic arch does not respond as expected if the blood in it were under pressure.
The aorta is a curved tube (related to Bourdon tube gauge).
When the curved tube of the Bourdon gage is subject to positive pressure it is forced to straighten out.
When subject to negative pressure the curve increases.
During systolic ejection in the heart (blood ejected from ventricle) the aorta’s curvature increases – the aorta is not undergoing positive pressure, but negative pressure!
This negative pressure is associated with the vacuum center of traveling vortices of blood.
The blood moves with various velocities in its vortex streams.
Flow and Pressure
In a pressure driven system the pressure rises faster than the fluid moves; the pressure will peak before the fluid peaks.
When pressure and flow is measured in the aorta, the peak flow precedes the peak pressure.
This contradicts the pressure propulsion concept.
It is stated in their paper, “Fluid dynamists in the nineteenth century were divided into hydraulic engineers who observed what could not be explained and mathematicians who explained things that could not be observed.”
Embryological Observations
The observation of blood circulation in early chick embryo before formation of heart valves is as follows:
- There are two streams of spiraling blood with different forward velocities.
- The blood is noted to have a definite direction of flow within the conduits and moves without an apparent propelling mechanism.
- The streams spiral around their own longitudinal axes and around each other.
- The streams appear to be a considerable distance apart, do not fill their vessels, and appear to be discontinuous segments.
Credit: Charles Leadbeater & Annie Besant
It was found that the blood is not propelled by pressure, but rather moves with its own biological momentum and with its own intrinsic flow pattern.
Alternations of Liquid and Gas Vortices in the blood
The blood, as individualized liquid and gas vortices, moves with a pressure-free momentum.
The vortex in tornadoes is a very stable cohesive configuration with a vacuum center strongly held together by a centripetal force system. It does not have the physical properties of amorphous gas under pressure that tends to expand.
Experimentation determined that unless the model ventricle had about 1/3 of its volume as air space, a vortex could not be formed.
The highly organized gas/rarefied plasma is a necessary component of the blood vortex – but how can the gas and fluid elements express the life property of locomotion?
Furthermore, a model ventricle with aorta showed that up to 50% of the volume of the liquid could be ejected by subjecting it to a rotary-wobbling impulse, without the inward motion of the ventricular wall.
Evidence of Momentum Flow in the Adult
Werner et al. observed that the mitral and aortic valves were open during external chest compression and that cardiac chambers were passive and did not change in size.
The heart as a minimum functional organ consists not only of its tissue but also of the perpetual vortex of blood which provides the perpetual vacuum in its center that probably helps to pull the blood back to the heart from capillaries and veins.
The persistence of the vortex explains the anomaly to engineers of a supposed pump that retains 40% of its charge with each ejection; a pump is expected to eject close to 100% of its charge.
Orbiting Blood Corpuscles
When moving through larger arteries the red cells are in toroidal shape, with their mass at the periphery to maximize the moment of inertia, and are assumed to rotate about their individual axes due to the phenomenon of vorticity (the creation of micro-vortices between swirling layers in the main vortex moving at different velocities).
Thus we can expect to find that the billions of red cells are actually traveling in their own unique space as further evidence of the extreme order of the blood motion.
The Spiral Theme
The musculature of the heart and arteries all the way down to the pre-capillaries is spirally oriented, and both the heart and arteries move spirally to augment the momenta of the blood.
Stonebridge and Brophy observed by direct angioscopic examination that the inner surface of arteries was organized in a series of spiral folds that sometimes protruded into the lumina.
They commented that the folds occur as a result of spiral blood flow, which may be more efficient, requiring less energy to drive the blood through tapering and branching arterial systems.5
They also observed the vortexing blood with fiber optics in the region of the endoluminal folds. In relation to this, enthusiasts know that rifled gun barrels forcing spin on the bullet make it more stable in flight and therefore more accurate in reaching its target.
In the vessels the blood “grooves” its own conduits for the purpose of enhancing its torsional impulse. However, these spiral folds are not found in excised arteries; they are dynamics of living tissue.
Function is inherently tied to structure. When the body dies, the blood no longer needs to flow, the spiral grooves disappear.
Now we move onto the fascinating discovery of the Chestahedron by artist and geometrician Frank Chester.
More information can be found at his website: http://www.frankchester.com/.
The Chestahedron
Frank Chester is an artist, sculptor, teacher and geometrician based in San Francisco.
He discovered the “Chestahedron” in January of 2000.
The Chestahedron is a geometric polyhedron. It is a 3-fold rotational prismatic symmetrical heptahedron (seven-sided).
It is the first known seven-sided solid with faces of equal area.
It has: 7 Faces; 7 Vertices; 12 Edges
Its Faces are 7 in total. That is, 4 triangles and 3 kite-shaped quadrilaterals.
Its Vertices are 7 in total. That is, 4 have 3 edges meeting and 3 have 4 edges meeting.
Chestahedron Net
It has three Dihedral Angles (Angles between two intersecting planes):
- 75° quadrilateral to quadrilateral
- -94.83° triangle to triangle
- 30° quadrilateral to triangle
Its Dual is the dekatria, a 13-sided figure.
The seven-sided Chestahedron offers a new perspective of art, sculpture, architecture, the form and function of the human heart and the interior of the Earth.
The Chestahedron can be formed through a vortex motion of the dodecahedron, tetrahedron and octahedron:
The Pentagonal Face of the Dodecahedron:
The two-dimensional, unfolded version relates exactly to a perfect five-pointed star.
Five of the kite shapes, placed with their points together, make the star pentagon.
Credit: Frank Chester
This means the Chestahedron can be created by folding up a star pentagon on itself, bringing it into three dimensions.
It also relates to the icosahedron and dodecahedron.
The fundamental uniting factor is the base equilateral triangle.
The Chestahedron can be created in Two Distinct Ways from a Tetrahedron
First way: Contractive
Place a tetrahedron inside a cube, and while keeping the boundaries of the cube inviolate, twist the tetrahedron so that one of its points moves along the diagonal of one square face to the opposite corner.
The tetrahedron, at this point, has changed into the octahedron.
There are actually 2 moments, between the transformation of the tetrahedron into the octahedron, that result in the Chestahedron.
The geometry of the Chestahedron is a geometry of motion (vortex motion).
The Chestahedron itself is merely a balanced moment of rest in a whole field of geometric activity that involves all of the Platonic forms.
Second way: Expansive
This begins with the tetrahedron, which is then unfolded like a flower with three petals.
See this in detail at: www.frankchester.com/2009/chestahedron-from-a-tetrahedron/.
The opening of the tetrahedron immediately creates the seven-sided form with the addition of the three kite-shaped faces.
It only remains to unfold the petals to the exact angle at which the area of the kite faces equals the area of the equilateral triangles at angle 94.83°.
This unfolding sequence, traced through time, can be taken further.
If the unfolding of the petals continues past the point at which the Chestahedron arises, a moment comes when the dihedral angle becomes 109.47°.
At this moment it takes the shape of a perfect octahedron with a tetrahedron on top that is exactly the size of the original tetrahedron.
This whole form itself is bounded by a tetrahedron that is exactly twice the size of the original.
As we have been examining all throughout Cosmic Core, all in life and reality is based upon a geometric matrix that is made up of the regular polygons, five Platonic Solids and 13 Archimedean solids, as well as all the various truncations, stellations, combinations and transition states of these forms.
The Chestahedron is a perfect example of what geometry can be formed from through a transitional shape of the Platonic solids.
It is helpful to remember that All is Motion. So, even though we think of geometry as static figures and forms, in reality, geometry is continually pulsing, oscillating, spiraling and transforming from one shape to another to another, and so on…
Geometry of the Human Heart Related to the Chestahedron
The geometry of the Chestahedron includes the positioning of the heart in the chest cavity and the actual geometry of the heart itself, particularly the shape and relative sizes of the left and right ventricles.
When spun, the Chestahedron traces out a unique bell shape.
The bell shape, when spun in water at an angle equivalent to the angle at which the heart sits in the chest, produces a vortex that has a uniquely-shaped cavity that appears around the form.
A cross-section of the bell and cavity strongly resembles the cross-section of a human heart.
It also relates to:
- the orientation of the successive layers of the heart’s muscles
- the relative thickness of the ventricle walls
- the size of the ventricle openings
- the shape of the whole heart
- the extreme thinness of the heart’s apex
- the vortex motion of the heart and the blood inside it
- and how all this relates to the Vesica Piscis and the square root of 3
As Frank Chester writes, “the formative forces which form our heart muscle are active as vortices and are oriented and maintained through the seven-sided form.”
“The heart is no longer a pump. It has instead become an organ of flow (regulation). If the heart were a pump, the paper-thin tissue at the apex of the left ventricle could never withstand the developing pressure. However, from the perspective of a vortex model of the heart, it becomes understandable why this part of the heart is never exposed to these higher pressure dynamics.”6
“In the developing human embryo, blood is already streaming rhythmically through its blood vessels before the heart has even formed. Something other than the heart, therefore, must be responsible for this movement of the blood. The heart that develops later appears to function more like a balancing brake: blood streams into the left ventricle in a clockwise direction and then vortexes around itself, finally emerging from the left ventricle in the opposite, counter-clockwise direction. At the moment when the blood flow reverses, there is no movement; absolute stillness reigns. However, this is a dynamic rest. This is the exact moment, simultaneous in time and space, that for Frank Chester represents the eternally present heart-centered state in each human being.”7
Frank Chester & the Geometry of the Heart
Thomas Cowan writes in his book, Human Heart, Cosmic Heart about Chester’s discovery of a new geometric form that unites the five Platonic solids and provides startling indications about the form and function of the heart.8
He is referring to the “Chestahedron”, the 7-sided polyhedron with surfaces of equal area.
Remember, it has four equilateral triangles and three kite-shaped quadrilaterals and 12 edges.
It also has 3 different symmetries.
Frank Chester was inspired by Rudolf Steiner (1861-1925) who had described the heart as a seven-sided form that sits in an imaginary box in the chest.
Chester, therefore, put this form inside the tightest cube it could fit into.
The apex, or point, does not fall in the center of the cube, but slightly off-center at 36 degrees.
This is the same angle at which the heart sits within the chest: 36 degrees off center to the left of mid-line.
If you slightly round off the edges of the Chestahedron of proportional size, it will fit precisely into the cavity of the left ventricle, the largest chamber of our 4-chambered heart.
Chester next spun a wire model of the shape in water. It formed a vortex.
A negative space formed that appeared attached to the side of the Chestahedron.
Chester then sculpted the form of the whirling Chestahedron with its attached “appendix”.
He found the appendix creates its own vortex when spun in water, but more horizontally, rather than the more vertical vortex of the Chestahedron.
The horizontal vortex closely resembles the shape and attachment of the right ventricle to the left ventricle in a real human heart.
Chester then took a cross-section of the spinning Chestahedron including its attachment near the thickest area. This reproduced a similar cross-section of both the right and left ventricles of the heart.
The wall thicknesses are the same, the size of the cavities is the same, the angles of attachment of the ventricles and the forms are nearly identical.
Further insights about muscle layers were gained.
The apex (bottom) of the heart is one muscle layer thick. In the traditional pump model of the heart, this should be the area of most stress or tension. Why is it so thin?
He turned to the work of Dr. James Pettigrew.
Pettigrew found that at various points in the heart, the number of layers of muscle varies from a minimum of one (at the apex) to seven.
Chester then wrapped his spinning Chestahedron in layers of paper at the angles outlined by the cones of water created by the spinning in water.
The only way Chester could properly wrap the form – while still maintaining the outline of the spinning form – also reproduced the thickness of the muscle layers at the various point of the heart: seven layers at the thickest and one layer at the apex.
It was found that the action of the heart on the blood is not one of creating force, but instead of using suction to increase the momentum of the blood.
The function of the heart is to create vortices.
This perfectly aligns with our research at the beginning of this article. The heart is a vortex generator, not a pump.
Chester asked, Could the human heart be a rotating geometric form?
Conversely, Could all matter and life be a rotating geometric form, or combination of oscillating forms?
This is precisely what we theorize in Cosmic Core, and precisely why we present so much experimental and observational evidence to back up this thesis.
For the next 50 articles we will stay on the topic of humanity. We will begin with a discussion of cells and cellular memory then we will move into a lengthy series about the spiritual aspects of humanity related to growth and evolution: chakras, evolution, human nature, human life cycle, sex, sleep, dreams, death, the afterlife, the soul, reincarnation, health & illness, the medical industry, healing, therapy, love and service.
This will be a lengthy series on the spirituality of humanity before we move back into our discussion of geometry, moving to the geometry of planetary bodies, solar systems, galaxies and galactic clusters.
- Cerio, Joan, Hardwired to Heaven, Findhorn Press, 2014
- Henein, Zhao, Nicoll, et al. The human heart: application of the golden ratio and angle, International Journal of Cardiology 4;150(3):239-42, 4 August 2011, https://www.ncbi.nlm.nih.gov/pubmed/21703707
- Maaske, Laura, Untying the Knot of Human Heart Formation: Your Heart is a Double Helix Spiral, Unfolds along Embryo Heart Folding Patterns, http://medimagery.com/news/2013/10/untying-the-knot-your-heart-is-actually-a-spiral/
- Marinelli, R, Fuerst, van der Zee, McGinn, Marinelli, W, The Heart is Not a Pump: A Refutation of the Pressure Propulsion Premise of Heart Function, Fall-Winter 1995, http://www.rsarchive.org/RelArtic/Marinelli/
- Stonebridge, PA, Brophy, CM, Spiral Flow in Arteries? The Lancet, 338:1360-61, 1991
- The Heart is a Sacred Geometry Vortex, http://humansarefree.com/2014/09/the-heart-is-sacred-geometry-vortex.html
- ibid.
- Cowan, Thomas, Human Heart, Cosmic Heart: A Doctor’s Quest to Understand, Treat and Prevent Cardiovascular Disease, Chelsea Green Publishing, 2016
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