Chaos Theory.

Chaos is the science of surprises, of the nonlinear and the unpredictable. It teaches us to expect the unexpected. While most traditional science deals with supposedly predictable phenomena like gravity, electricity, or chemical reactions, Chaos Theory deals with nonlinear things that are effectively impossible to predict or control, like turbulence, weather, the stock market, our brain states, and so on. These phenomena are often described by Fractal Mathematics, which captures the Infinite Complexity of Nature. Many natural objects exhibit Fractal Properties, including landscapes, clouds, trees, organs, rivers etc, and many of the systems in which we live exhibit Complex, Chaotic behavior. Recognizing the Chaotic, Fractal Nature of our world can give us new insight, power, and wisdom. 

Principles of Chaos

The Butterfly Effect: This effect grants the power to cause a hurricane in China to a butterfly flapping its wings in New Mexico. It may take a very long time, but the connection is real. If the butterfly had not flapped its wings at just the right point in space/time, the hurricane would not have happened. A more rigorous way to express this is that small changes in the initial conditions lead to drastic changes in the results. Our lives are an ongoing demonstration of this principle. 

Unpredictability: Because we can never know all the initial conditions of a complex system in sufficient (i.e. perfect) detail, we cannot hope to predict the ultimate fate of a complex system. Even slight errors in measuring the state of a system will be amplified dramatically, rendering any prediction useless. Since it is impossible to measure the effects of all the butterflies (etc) in the world, accurate long-range weather prediction will always remain impossible.

Order / Disorder: Chaos is not simply disorder. Chaos explores the transitions between order and disorder, which often occur in surprising ways.

Mixing: Turbulence ensures that two adjacent points in a complex system will eventually end up in very different positions after some time has elapsed. 

Fractals: A fractal is a never-ending pattern. Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. Driven by recursion, fractals are images of dynamic systems – the pictures of Chaos. Geometrically, they exist in between our familiar dimensions. Fractal patterns are extremely familiar, since nature is full of fractals. For instance: trees, rivers, coastlines, mountains, clouds, seashells, hurricanes, etc.



Julius Reichelt – Astrological Sigils, 1673.

According to Weill-Parot, the concept of having astrological images on sigils is exclusive to the Christian Latin West. Albertus Magnus proposed the creation of a type of talisman whose power rested completely in natural causes, excluding illicit forms of necromantic magic. This ‘natural magic’ included the use of sigils with astrological images that would contain the astral power of the planets. 

Principles of sympathy and antipathy governed the preparation of astrological sigils made of metal. The Sun was astrologically and alchemically associated with gold, so a gold sigil would be struck with a picture of the Sun (usually when it was at its strongest influence, during the vernal equinox) or an astrological sign ruled by the Sun, such as Leo, so the wearer was protected from the malignant influence of the heavens.

Several of Reichelt’s sigils were designed to work by sympathetic principles. Sigils 1–4 and 6–8 were sigils of the Sun in astrological house of Leo. The obverse of sigils 2, 4 and 6 also displays the sign of the ‘heart of the lion’ cor leonis, which is Regulus, the brightest star in the constellation of Leo, as well one of the brightest stars in the night sky. The cabalistic symbol for Regulus is engraved on the obverse of sigils 1, 2 and 7. 

The sigils’ astral power could be further enhanced by incorporating scriptural quotations and the names of Biblical prophets. Inscribed on sigils 1, 2, 4 and 6 is the common apotropaic formula “Vincit Leo de tribu Iuda, radix David” from Revelation 5: 5, a reference to the biblical David and to astrological Leo. Similarly, some of Reichert’s sigils were inscribed with words from the Gospel of John: “Verbum caro factum est”, causing demons to flee before the power of ‘the Word made Flesh’.

Inscribing the names of angels on sigils was also thought to be efficacious, a tradition begun in the thirteenth century by the increasing influence of Jewish cabalistic texts such as the Sefer Yezirah and the Sefer Razi’el. The texts claimed that the ‘secret names of the God and the angels provided the means by which the powers were called down into the sublunar levels of the cosmos’, and hence used an intricate and often bewildering angelology in ritualistic magic. In sigils 1 and 7, ‘Verchiel’ is inscribed. Verchiel was invoked as the angel of the month of July, ruler of the sign of Leo. Verchiel (here called Zerachiel) is also governor of the Sun and grants powers of the intellect, language, learning and mathematics.

Several of Reichelt’s sigils also bear geometrical characters of triangles, circles and lines, which he realized represented the ‘intelligences and demons’ of the planets based on numerical associations made with the heavenly bodies derived from the rules of cabala. There is also a magic square or grid of numbers engraved on sigil 10, devoted to the planet Mercury. For early modern philosophers, mathematics and magic were intimately connected. From his doctrine that the elements of the body were mingled in geometrical proportions, and that the soul’s elements combined numerically, Agrippa determined that the derived geometrical and numerical figures had peculiar corporeal and spiritual powers.


The Self is an archetype that represents the Unification of the Unconsciousness and Consciousness of an individual. The Creation of the Self occurs through a process known as Individuation, in which the various aspects of personality are integrated. Jung often represented the Self as a Circle, Square or Mandala.” – Kendra Cherry


Sacred Geometry.

Sacred Geometry is the blueprint of Creation and the genesis of all form. It is an ancient science that explores and explains the energy patterns that create and unify all things and reveals the precise way that the energy of Creation organizes itself. On every scale, every natural pattern of growth or movement conforms inevitably to one or more geometric shapes. As you enter the world of Sacred Geometry you begin to see as never before the wonderfully patterned beauty of Creation. The molecules of our DNA, the cornea of our eye, snow flakes, pine cones, flower petals, diamond crystals, the branching of trees, a nautilus shell, the star we spin around, the galaxy we spiral within, the air we breathe, and all life forms as we know them emerge out of timeless geometric codes. Viewing and contemplating these codes allow us to gaze directly at the lines on the face of deep wisdom and offers up a glimpse into the inner workings of the Universal Mind and the Universe itself. The ancients believed that the experience of Sacred Geometry was essential to the education of the soul. They knew that these patterns and codes were symbolic of our own inner realm and the subtle structure of awareness. To them the Sacred Geometry had particular significance involving consciousness and the profound mystery of awareness, the ultimate sacred wonder.