Attune to Cosmos

A profound order pervades the universe. This order stands independent of chaos, space and time. Yet it is mathematically verifiable, as it exists in the form of harmonious number relationships - which can be expressed through geometric shapes, patterns and forms.

The shapes and patterns that emerge through uniform divisions of the circle and sphere are mathematical formulas describing the laws of nature and the inherent order of the universe. They demonstrate the natural sanction that unites all forms of life… from microbes, plants, animals and humans to the motions of the planets and stars.

The geometric formations provide a tangible medium enabling us to consciously engage with the essence of universal intelligence and help attune our minds to the harmony of universal order. They are stargates that can open our minds to the greater whole and facilitate the process of actualizing our potential.

They demonstrate the quality of relatedness between unique and individual differences; showing how diverse elements can be organized into a whole, while still preserving their individuality. They describe continuous, timeless, universal actions that are otherwise invisible and can only be known to us through geometry.

Many universal principles are portrayed, such as alignment, balance, coalescence, equilibrium, harmony, integration, inter-connectivity, stability, sustainability, symbiosis, symmetry, synchronization, synergy and unification.

Another purpose they serve is providing tangible evidence of an exquisite order at the highest level.

As we consciously dwell upon them, holding them in our thoughts, our mental energies mesh with fundamental principles of creation. A synergy of individual consciousness meshed with universal consciousness creates a space of the individual self, merged with the greater whole.

The geometries are portals that can open the mind to states of higher consciousness. Every single shape of each design has the ability to collapse into an infinite series of smaller shapes and patterns through division of the golden ratio; just as they can open to infinite expansion through multiplication of the golden ratio.

We are a language of geometric form and the mandalas can facilitate our ability to align with the subtle rhythms and cycles and live in agreement with nature.

Pythagoras described geometry as visual music, and demonstrated how mathematical laws governing musical harmony correlated with the laws governing physical reality. Music measures the relationship of number in time; geometry measures it in space.

Continuing with the analogy of visual music, the mandalas may then be contemplated as visual symphonies, where the shapes are the instruments of a celestial orchestra and the colours the music.

We have a natural affinity to these geometries because they contain the same ratios and proportions that we contain within us. Universal intelligence has designed itself into each one of us. The human form is established upon the same set of principles that can be found on all levels of creation. We are a fractal hologram of a multi-dimensional Universe, where the whole is reflected in the part.

The geometries are portals that can open the mind to states of higher consciousness. Every single shape of each design has the ability to collapse into an infinite series of smaller shapes and patterns through division of phi, pi, root 2, or root 3 (according to which system of circular division the shape is produced from); or progress towards infinite expansion through multiplication of those factors

Continued use will assist in bringing into balance that which is out of balance and to reach progressively higher states of consciousness. It will facilitate in the integration of the left and right hemispheres of the brain (bi-lateral thinking), promoting whole brain consciousness. The ultimate goal is to experience a sense of Oneness and the unity of all things.

The geometries can help us open to our higher selves, that part of us that is connected to the greater whole, and help us move with the changes rather than be overwhelmed by them.

The geo-harmonic patterns are mathematical programs describing the laws of creation. They provide essential knowledge for us by revealing the natural resonant patterns that the world is based on. The information contained in them is conveyed to different parts of the self (ranging from cellular to soul level).

The effects and results depend upon a number of factors such as the degree of attention, intention, awareness etc of each person contemplating them. It can range from no effect (or very little) at one end of the scale to a spiritual awakening at the other.

Through consciously engaging with the geometries we can introduce healthy working systems into our reality. The more we understand universal law the more we can apply the harmony that is apparent in nature as a more powerful force in our own lives.

The geometries can also be a great synthesizer of the left and right hemispheres of the brain. The rational, analytical aspects of the patterns are processed through the left hemisphere; while the visual beauty and profound implications are processed through the right – implementing whole brain consciousness and expanded awareness.

Geometry is often likened to music. Pythagoras described it as "music made visible". He observed that the mathematical laws governing musical harmony correlated with the laws governing physical reality.

Geometry is a visual form of harmony: the harmony of parts with each other and with the whole. The world is composed of diverse and contrasting elements. It is harmony that restores unity to the contrasting parts and weaves them into a cosmos.

Acoustic harmony can be experienced through sound and music; while the harmony of universal order can be experienced through number, shape, pattern and form.

The primary shapes, patterns and forms of sacred geometry are keys that can be used to help harmonize our flow with the flow of universal consciousness. They represent harmonic tones that can attune, empower, uplift and inspire the human condition.

Images, depending upon their nature as well as other factors, can have a dynamic impact upon the psyche. When we look at something, our mind is influenced (to varying degrees) by the tone with which the object is associated. This can range from pleasant images producing endorphins and negative images producing adrenalin and cortisol.

When we look at something, the image we see is not actually the object we are looking at; but rather a representation of the interplay of light and shadow that has been recreated by the light-sensitive nerves in the retina in our eyes.

The rods and cones respond to the projected light by pulsating and generating neuro-electric charges, that travel along the optical nerve to the occipital lobe (our bio-computer) that processes light-language binary code to simulate the image that was in our field of vision.

Vibration is the determining factor in the transference of information between the perceived and the perceiver. This can be the vibration of the object/s (of our view) reflecting light, or a simulation of that reflected light created in the retina of the eye.

Everything has a vibration. If you draw a circle, it creates the vibration of a circle. Drawing the shape of a triangle creates a vibration of a triangle; similarly with a square and pentagon etc. These particular shapes are resonant to the harmonics of nature. Their vibrations resound with the fundamental processes of creation.

The harmonic geometries, through the process of bio-regenesis, can activate latent qualities within us and help restore our DNA to its original imprint. The process of bio-regenesis works along the lines of sympathetic resonance.

The principle of sympathetic resonance can be experienced with two tuning forks of the same note, held at opposite ends of a room. If one of the forks is struck it will begin vibrating and in a few seconds the other begins to ring.

This happens because the energy waves (sound waves) from the fork that was struck traveled through the air and activated the second fork. The second fork came into sympathetic resonance with the first.

Something of a similar nature (though on a more subtle level) occurs when we consciously engage with harmonic geometric shapes, patterns and forms. As we contemplate them, we tune into the intricacies of the Universal Mind.

Universal Intelligence has designed itself into each of us. The human form is established upon the same set of principles that can be found on all levels of creation.

We are a holograph of a multi-dimensional Universe, where the whole is reflected in the part. Rudolf Steiner used the term "anthropocosmic human being" to describe the concept that we are a microcosmic reflection of the macrocosm. As above, so below.

When we consciously engage with an archetypal geometric harmonic, the part of our universal self that correlates to that particular vibration can be stimulated in a similar way to how the second tuning fork is stimulated from the vibrations of the first, though on a more subtle level.

In the case of the tuning forks, however, the first fork requires an external force to activate it. But in the case of geometric contemplation, it is our "consciousness" that is the activating force.

Geometric contemplation is a process that can help us to harmonize with the vital forces and to experience an integration of Spirit-Mind-Body in a state of higher consciousness. It can bring about transformations in awareness and help lead us to a state of self-realization.

It is a gradual process but when used in a mindful and purposeful way the vibrational patterns of the geometries generate a resonance that can have a calming and transformative effect on us right down to the level of RNA/DNA.

Currently we use only tiny percentage of our current 2 strand DNA. According to some esoteric teachings, however, the original divine blueprint of human DNA contains an additional 10 etheric strands – which are fused together and contained within the two perceptible strands.

Each additional strand possesses attributes that allow the person to achieve greater deeds. These additional, invisible strands have, according to these teachings, laid dormant in humanity for millennia.

According to these teachings, an activated 12 strand DNA facilitates 12 levels of consciousness, 7 higher senses, 13 chakras and 12 chemical nucleotide bases (compared to the current 4), allowing for 144 chromosomes (compared to the current 64).

We are designed to evolve and our evolution is directly and intimately tied with the Earth’s. The elemental particles that give substance to our cells come from the Earth. The cells are imbued with our divine consciousness, forming a union of spirit and matter. In this context, we as humans are the progeny of Mother Earth and Father Sky; spiritual beings embodied with the elements of terra firma.

Many believe an energy source (Photon Belt) emanating from Galactic Center is activating our DNA and setting in motion the process of accelerated evolution and even ascension. We are at an important juncture right now because we have the ability to reclaim our original imprint, which is our birthright as a species.

On the higher levels of consciousness, we are naturally attuned to the harmonies of the cosmos; on the mundane level we have sacred geometry as a tool to help lead us back towards a sense of attunement and unity - a process known through the ages as the journey home.

By raising our own frequency and bringing more light into our fields, we as collective consciousness can assist humanity along the path of evolution and ascension. When enough people awaken to their Higher Selves we will have critical mass that can form the spearhead to carry us through to the Golden Age of Enlightenment.

The golden ratio is a mathematical law known by many names, which include the: golden proportion, golden mean, golden cut, divine proportion, extreme and mean ratio, phi or Ф (the 21st letter of the Greek alphabet). It can be expressed in many ways, including numerically, geometrically, in length, area, volume, distribution, beauty, consciousness and creation itself.

The golden ratio has the ability to create infinite diversity on all levels of creation.

The golden ratio, phi, is essentially a relationship between two or more components of a whole; where the whole is divided into a small and large segment. Any whole can be divided into two segments. However, there is only one way that something can be divided so that the two parts are unified proportionally to each other in the same way as they are unified to the original undivided whole.

The simplest expression of this can be demonstrated by the division of a line (c), into a small (a) and a large (b) segment, producing three unequal parts (small segment, large segment and original whole line), all of which are unified through proportional similarity.

Mathematically, these ratios are such that the longer segment is 1.618034... times the length of the shorter segment (if the shorter segment equals 1.00), while the shorter is 0.618034… times the length of the whole line; and the whole line is 2.618034… (phi squared) times the length of the larger segment.

(N.B. The three dots after the numbers indicate an unending ratio, meaning the numbers stream off to infinity and are usually rounded off to three decimal places).

In the average human hand, the length of the bone segments in the fingers of a hand measure in the following way. If the length of the smallest segment of a finger (any finger) is given the value of one unit of measurement, the length of the second segment of that finger will measure approximately 1.618 times longer than that; the third segment approximately 1.618 times longer than the second; and the fourth segment in the palm 1.618 times longer than that

Phi in the ideal human face:

• Length of face…width of face
• Lips and eyebrows…length of nose
• Length of face…tip of jaw and eyebrows
• Length of mouth… width of nose
• Width of nose… distance between nostrils
• Distance between pupils… between eyebrows

The following comparisons of sections of the body are all in phi proportion:

finger tip to elbow…wrist to elbow shoulder line/top of head… head length navel/top of head… shoulder line/top of head navel to knee… knee to end of foot.

Not only does the human form, on average, measure in this way, but the bone structures of all creatures are similarly based on the golden ratio. From microbes to the largest creatures upon the planet, phi is the prevalent ratio that carries through all species.

These are remarkable numbers. Not only are the figures after the decimal point identical in both, but each is the reciprocal of the other (that is, the number 1 divided by either yields the other). The relationship of the small segment to the large segment is the same proportional relationship that exists between the large segment and the whole line itself.

No other division produces this result. This unique golden proportional divided, yet unified quality is a universal principle that occurs on all levels of creation. The golden ratio arrangement is found throughout nature, ranging across a large variety of minerals, vegetables and animals… to the human form itself.

A cross-sectional view of the DNA shows a double pentagon (decagon), which is itself an embodiment of the golden ratio (as demonstrated further on).

The orbits of certain planets are phi related: the distance from Mercury to Venus is approximately 1.618 times the distance from the Sun to Mercury. The distance from Earth to Mars is approximately 1.618 times the distance from Venus to Earth.

The orbital relationships between certain planets are also golden proportional. For example, the relationship between Jupiter and Saturn is such that over a sixty year period Jupiter makes five revolutions around the Sun. By marking the position of Saturn at the end of each of Jupiter’s orbital cycles, a golden-proportioned pentagon and pentagram are traced out in space.

The Fibonacci Series

In the 12th century, Leonardo Fibonacci discovered a mathematical series that is found throughout nature. Starting with 1, each new number in the series is simply the sum of the two before it.

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987…

The series is generated by adding each set of numbers to make the next number. However, if instead of adding the numbers together, they are divided, an interesting phenomenon occurs:

As the series moves into the higher ranges the numbers converge on phi. After the 40th number in the series, the ratio is accurate to 15 decimal places: 1.618033988749895...

The Fibonacci series is frequently found in nature in various modalities such as the leaf arrangements in plants, the pattern of florets in flowers, the logarithmic spirals of shells, the bracts of pinecones.

The golden angle provides the ideal positioning of leaf distribution around a stem (phyllotaxis). It is based on an angle of approximately 222.5 degrees rotated from one leaf to the next, which provides the maximum space for sunlight and rainfall for all the leaves.

It is called the golden angle because it divides the 360 degrees circle into a phi ratio: 222.5/360 = 0.618055… and 360/222.5 = 1.617977…

One of the most prominent forms through which the golden ratio expresses itself is the golden spiral, where the arc of the spiral is determined by phi. The scale can range from microscopic to super-galactic, but the arc remains constant at every stage of progression and level of existence. Not all spirals in nature are golden proportioned, but the golden spiral is prominently featured.

The golden spiral can be found in the tiniest sub-atomic particles of the microcosm to spiral galaxies of the macrocosm. At the center of a daisy, golden spirals unfold in clockwise and counter-clockwise directions – the number of the spirals determined by Fibonacci numbers. Swarms of insects, schools of fish and flocks of birds regroup into golden spirals after scattering from a disturbance. The golden ratio is present in the spiral of a fly approaching an object, or a falcon circling its prey.

One of the most exquisite examples of the golden ratio in nature is the chambered nautilus shell. The nautilus begins its journey of evolution constructing a shell to protect itself from the outside elements. As it continues to grow, it builds another chamber at the shell mouth bigger than the one before it, and when it moves into this larger area it seals the old chamber off behind it. It continues this process of building larger and larger chambers along a logarithmic spiral, always closing off the previous chamber to increase buoyancy.

The effect is remarkable. The linear spiral that the chambers are constructed along is a golden proportioned spiral; and three-dimensionally the space of each successive chamber (starting a few out from the center) has approximately 1.618 times more volume than the chamber preceding it.