**Golden Ratio Fractal.**

Fractals stabilize all of the energy waves flying through our Universe, and create an efficient and structured energetic highway upon which to travel. Fractals originate as an alignment of repeating energy vectors that provide for a stable interconnectedness of all energy systems in the Universe. Since these Fractals are energetic in origin, and since energy influences matter, they leave their mark in matter by creating repeating patterns seen throughout Nature. These repeating patterns are also found in the human body serving as a reminder that we all originated from the same source, and we are all connected.

Fractals display self-similarity with the ability for objects to exhibit the same type of structure in all scales, large or small. Fractals give Sacred Geometry and snowflakes their structure. You can also find Fractal patterns in the branches of a tree, fronds of a plant, crystals, ocean waves, earthquakes, and even DNA. Not surprisingly, since Fractals originate as energy vectors, they are also observed in coherence patterns of brain function and in heart rate variability analysis. Dark energy existing in dark matter, consists of energy vectors creating repeating Fractals, and is what gives our Universe energetic stability through similarity in structure. On the earth plane, the energetic influence of Fractals is represented mathematically, allowing for the actual measurements of the physical components of these Fractals.

Mathematical expressions of Fractals are seen in the Golden ratio, Penrose tiling, and the Fibonacci sequence. The Golden Ratio is a number found by dividing a line in two parts so that the longer part divided by the smaller part is equal to the whole length divided by the longer part. Roger Penrose, a professor of mathematics and physics, established that a surface could be tiled in an asymmetrical, non-repeating pattern using five-fold symmetry with two shapes based on the Golden Ratio. This pattern named Penrose tiling, and was later discovered to exist in Nature as the structure of quasicrystals. The Fibonacci Sequence is a series of numbers in which each number is the sum of the two preceding numbers, and is represented in Nature by the petals of a flower and the bracts of a pine cone. All structures and processes in Nature are Fractal.