In talking about and describing the universe, especially according to the Pythagorean school of thought, one would be quite remiss not to highly take into account the realms of sacred geometry and numbers. Pythagoras firmly believed that all of Creation had its foundation in and expressed itself through geometry and number. The realm of sacred geometry is best represented and expressed by the Platonic Solids, named after Plato and the mathematical constants of pi (p) and phi (f). Numerology, or the science of numbers, is best understood by contemplating the so-called base numbers 1-9 and the master numbers 11, 22, 33, 44 and 55, plus the cipher (0), the number zero. Since all matter and energy in the universe is seen in terms of vibration, Numerology may best be viewed as the science of the study of the vibrational nature and quality of numbers. The cipher, the number (0) zero is viewed as being the ultimate source and fount of all vibration/energy in Creation, the numerical equivalent of the Tao in Taoism or the Void in Hinduism. All other numbers and vibrations spring from the number zero. Here follows a listing of the master numbers, their associated Platonic Solids and the cipher:
(0) the Ideal: the Tao, the Void, Brahman, the Monad
Here follows a listing of the base numbers 1-9 and a listing of their associated attributes:
1 – Yang, pure energy, creative potential, unity.
2 – Yin, attraction, opposites, integration, duality.
3 – Manifestation, interaction, expansion, diversity. (Creativity)
4 – Order, form, stability, physicality, structure.
5 – Action, change, expression, motion, dynamics.
6 – Harmony, balance, generation, beauty, resonance.
7 – Subtlety, rhythm, purity, distinction, vibration. (Spirituality)
8 – Energy, prominence, power, time, cycles, matter.
9 – Transformation, completion, regeneration, realization and evolution.
The (5) Platonic Solids have been called the “(5) Perfect (3)-Dimensional Forms”. In recent times it has been scientifically proven that these five solids form the fundamental basis for the entire Periodic Table of Elements and therefore form the primary foundation for the entire physical realm. Here follows a basic table of the (5) Platonic Solids with a few of their key attributes:
|Number of Sides||Solid||Face Shape||Number of Edges||Vertices|
Equally important in the realm of sacred geometry are the mathematical constants of pi and phi. Here follows a definition for each:
Pi (p): approx. 3.14159 or 22/7
Def. – Mathematical constant which expresses the ratio of the circumference to the diameter of a circle.
(Note: the approximate fraction of pi, 22/7, shows the master number (22) of the material realm divided by and therefore in terms of the base number (7), the sacred number of mysticism, the adept and spirituality).
Phi (f): approx. 1:1.61803 (Golden Ratio/Golden Mean)
Def. – Ratio derived by mathematical relationships between adjacent numbers comprising the Fibonacci Series, a sequential series of numbers whereby dividing a particular number in the series by the immediately preceding number renders the Golden Ratio. (1,1,2,3,5,8,13,21,34,55 …)
(Note: another interesting property of the Series is that when one takes any two adjacent numbers in the sequence their sum produces the immediately following number in the Series).
An important universal geometrical dynamic and derivation of the Golden Mean is what has been come to be known as the Fibonacci Spiral. The geometrically embodied vibrational dynamics of the Fibonacci Spiral produce (due to the particular mechanism of its spin) physical frequency shifts which geometrically generate differing forms and vibrations of physical matter. Due to its fundamental prevalence in nature and to its mystically aesthetic allure, the Golden Ratio appears to be the cosmic yardstick for beauty in proportion. For thousands of years Man has incorporated the proportions of the Golden Ratio into both art and architecture. Two of the most well-known are certain dimensions of the Great Pyramid in Giza and the architecture of the Parthenon in ancient Greece. In biology, it is well known that many of the measurements of the proportions of the human body conform to the Golden Ratio. Even aspects of the structure of human DNA display characteristics reflecting this divine cosmic proportion. Examples of the Golden Ratio range from the growth and structure of crystals to the geometry of many recent crop circles. The extent of this seemingly divine proportion is truly profound.