Grimoire for the Apprentice Wizard

Class III: Mathemagicks (Clear Magick)

1. Called Monad (one), this is “the noble number,
   Sire of Gods and men.” It represents that which is
   whole and complete—such as the Universe. It also
   represents things which cannot be divided—such as
   atoms were thought to be. A monad is the sum of any
   combination of parts, and it is also likened to the seed
   of a tree, which, when grown, has many branches (num-
   bers). Pythagoreans thought of Mind/Consciousness/
   Divinity as the ultimate Monad, containing all things,
   infinite and eternal, with neither beginning nor end.
   The Monad is the symbol of the Great Father. In ge-
   ometry, One can only be represented by a point—a
   position in space with no dimensions:.


2. Dyad (two) presents the first division. When there
   are two, each is the opposite of the other: good/evil,
   light/dark, truth/falsehood, positive/negative, active/
   passive, life/death, above/below—all dualities. While
   the Monad is the symbol of wisdom, the Dyad is the
   symbol of illusion, for in it exists the false sense of
   separateness. The Dyad is the symbol of the Great
   Mother. A Dyad can be represented by two points—
   and a line connecting them gives the first dimension:
   ..


3. Triad (three) is the first balanced number, and con-
   sidered particularly magickal in many cultures.
   Pythagoreans, Druids, and Brahmins made up long lists
   of sacred Triads. A tripod is a stable structure, as is a
   triangle; they cannot wobble or be distorted. Made up
   of both the Monad and the Dyad, the Triad is the num-
   ber of knowledge. It represents the Holy Family—Fa-
   ther, Mother and Child—or the Trinity in Chris-
   tianity: Father, Son and Holy Ghost. Three
   connected by lines make up a triangle,
   enclosing a space in two dimensions:
   4. Tetrad (four) is the root of all things,
   the fountain of Nature, and the first
   square (2x2). The Tetrad connects all Di-
   rections (East, South, West and North),
   Elements (Air, Fire, Water and Earth),
   and Seasons (Spring, Summer, Fall
   and Winter). Four points make a
   cross, and a cross within a circle is a
   Medicine Wheel—and the symbol of
   Earth. Four equidistant points in a flat
   plane can be connected by lines to make
   a Square, and six squares make up a
   Cube. Or four points in
   space can create a Tet-
   rahedron—the first
   three-dimensional
   solid object, made up
   of four triangles:


4. Introduction:
   The Mysteries of Pythagoras

HE NATURAL WORLD IS AN AMAZ-

INGLY well-organized place. As I

mentioned before, a major part of

Wizardly seeing is in perceiving

the forms and patterns in the

world. This is also a part of scien-

tific thinking, which grew out of

Wizardry. From atoms to galaxies,

and everywhere in between, there are forms and pat-

terns, great and small. Many of these fall into num-

bers, and some of the earliest Wizardly Mysteries—

those of Pythagoras (pi-THAH-go-rus) (580-500 BCE)

in ancient Greece—laid the foundation for all math-

ematics; particularly arithmetic, geometry and music.

The Pythagorean motto was: “All is Number.”

According to Pythagoras, everything in the uni-

verse is based upon the same fundamental “blue-

prints” created by geometric patterns that repeat over

and over in an endless dance of sound, light and color.

These patterns form a matrix of grid energy derived

from a central source. They create the entire natural

world, and allow us to experience duality, emotions,

linear time, and all the reality we perceive.

Sacred Geometry is based on these patterns,

which were once understood and taught by the an-

cient Mystery Schools. But with the destruction of the

great Library of Alexandria and the collapse of the Ro-

man Empire, they became lost for

centuries—only to be rediscov-

ered as we evolve into higher

consciousness awareness.

Mathemagicians work

with a few very simple formu-

lae and ratios—particularly

the ones called “Pi” and

“Phi” —to understand the

common patterns and

principles underlying and

governing all things.

Lesson 2:

Pythagorean

Numbers

There are many aspects

of the Pythagorean (pi-

THAH-go-REE-an)

Mysteries, but here we

will just look at how they

thought of Numbers: Pythagoras, from Historia Deorum Fatidicorum

Corrected pages 3rd printing.2.p65 42 6/10/2004, 4:03 PM