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POLYGRAMS AND
POLYGONS

THE
TRIANGLE

The
Triangle is the only Lineal Figure into which all surfaces can be reduced, for
every Polygon can be divided into Triangles by drawing lines from its angles to
its centre. Thus the Triangle is the first and simplest of all Lineal
Figures.

We
refer to the Triad operating in all things, to the 3 Supernal Sephiroth, and to
Binah the 3rd Sephirah. Among the Planets it is especially referred to Saturn;
and among the Elements to Fire. As the colour of Saturn is black and the
Triangle that of Fire, the Black Triangle will represent Saturn, and the Red
Fire.

The 3
Angles also symbolize the 3 Aichemical Principles of Nature, Mercury, Sulphur,
and Salt.

As
there are 3600 in every great circle, the number of degrees cut off between its
angles when inscribed within a Circle will be 120°, the number forming the
astrological Trine inscribing the Trine within a circle, that is, reflected from
every second point.

THE
SQUARE

The
Square is an important lineal figure which naturally represents stability and
equilibrium. It includes the idea of surface and superficial
measurement.

It
refers to the Quaternary in all things and to the Tetrad of the Letter of the
Holy Name Tetragrammaton operating through the four Elements of Fire, Water,
Air, and Earth. It is allotted to Chesed, the 4th Sephirah, and among the
Planets it is referred to Jupiter. As representing the 4 Elements it represents
their ultimation with the material form. The 4 angles also include the ideas of
the 2 extremities of the Horizon, and the 2 extremities of the Median, which
latter are usually called the Zenith and the Nadir: also the 4 Cardinal
Points.

The
number of degrees of a great circle cut off between its angles will be 900 the number forming the astrological
Quartile or Square Aspect, potent and evil.

There
is only one way of inscribing a Square within a Circle, that is, reflected from
every second point.

The
Pentagon, first form, reflected from every second point.

The
Pentangle can be traced in two ways: reflected from every second point, when it
is called the Pentagon; and reflected from every third point, when it is called
the Pentagram.

The
Pentangle as a whole is referred to the 5th Sephirah Geburah. The Pentagon
naturally represents the power of the Pentad operating in nature by the
dispersal of the Spirit and the 4 Elements through it. The number of degrees of
a great circle cut off between its Angles is 72° the number forming the
astrological Quintile aspect, good in nature and
operation.

It
also answers to the dispersal force of the 5 letters YEHESHUAH.

It is
not so consonant to the Nature of Mars as the Pentagram, and as a general rule
the Pentagon is not so powerful a symbol as the Pentagram.

The
Pentangle -
The Pentagram, second form; reflected from
every 3rd point.

The
Pentagram with a single point uppermost is called the “Sign of the Microcosm”
and is a good symbol representing man with his arms and legs extended adoring
his Creator, and especially the dominion of the Spirit over the 4 Elements and
consequently of Reason over Matter.

But
with the single point downwards it is a very evil symbol, the head of the Goat,
or demon’s head, representing the abasement of Reason beneath the blind forces
of Matter, the elevation of anarchy above order, and of conflicting forces
driven by chance above God.

It
represents the concentrated force of the Spirit and the 4 Elements governed by
the 5 letters of the name of the Restorer of all things
YEHESHUAH, and also the ten Sephiroth classified into 5 odd and 5 even numbers. It is especially attributable to the
Planet Mars. It also shows the Kerubim and the Wheel of the Spirit. It is a
Symbol of tremendous force, and of HEH, the letter of the Great Supernal Mother,
AIMAH.

THE
HEXANGLE

The
Hexagon, first form, reflected from every second point.

The
Hexangle can be traced in two ways as a complete symbol: reflected from every
second point, when it is called the Hexagon: and reflected from every third
point, when it is called the Hexagram. There is also a third form, called the
pseudo-Hexagram.

The
Hexangle as a whole is referred to the 6th Sephirah,
Tiphareth.

The
Hexagon naturally represents the power of the Hexad operating in nature by the
dispersal of the rays of the Planets and the Zodiac emanating from the central
Sun. The number of degrees of a great circle cut off between its Angles is 60°
forming the astrological Sextile aspect, powerful for
good.

It is
not so consonant to the solar nature as the Hexagram. Remember then that the
Hexagon signifieth the dispersion, distribution, and radiation of a force but
the Hexagram concentration. Hence thou shalt use the Hexagon for the spreading,
and the Hexagram for the concentrating and sealing. Thus when there is need,
thou canst compare, interpose and combine them; but the “Gon initiateth the
whirl.”

The
nature of the “whirl” is described in a document relating to the Vibratory
Formula of the Middle Pillar, and the formation of the Telesmatic
Images.

THE HEXANGLE

The
Hexangle, second form, reflected from every 3rd point.

The
Hexagram with a single point uppermost is called the “Sign of the Macrocosm,” or
greater world, because its six angles fitly represent the six days or periods of
creation evolved from the manifestation of the Triune. Its synthesis forms the
seventh day or period of rest summed up in the hexagonal
centre.

It
represents especially the concentrated force of the Planets acting through the
Signs of the Zodiac, and thus sealing the Astral Image of nature under the
presidency of the Sephiroth; and also the Seven Palaces of the same. It is
especially attributable to the Sun. It is a Symbol of great strength and power,
forming with the Cross and the Pentagram, a triad of potent and good symbols
which are in harmony with each other.

THE HEXANGLE

The
Pseudo-Hexagram or irregular third form.

The
pseudo-Hexagram an irregular third form, sometimes employed to denote the
presidency of the Sun and Moon over the 4 Elements united in and proceeding from
the Spirit.

THE HEPTANGLE

The Heptagon, first form, reflected from every second
point.

The Heptangle can be traced in three ways reflected from
every second point when it is called the Heptagon; and as the Heptagram is
reflected from every third point, and from every fourth
point.

The Heptangle as a whole is referred to the Seventh
Sephirah, Netzach.

The Heptagon naturally represents the dispersal of the
powers of the Seven Planets through the week and through the year. The number of
degrees of a Great Circle cut off between its angles is
51-3/7°.

It further alludes to the power of the Septenary acting
through all things, as exemplified by the seven colours of the
Rainbow.

It is
not so consonant to the nature of Venus as the Heptagram reflected from every
fourth point.

THE
HEPTANGLE

The Heptagram, second form; reflected from every third
point.

The Heptagram reflected from every third point, yieldeth
Seven Triangles at the apices thereof; fitly representing the Triad operating in
each Planet; and the Planets themselves in the week and in the
year.

The weekly order of the Planets is formed from their
natural order by following the lines

of this Heptagram;
as hath been already shown in the 2nd point of the Grade of Zelator. It is not
so consonant to the nature of Venus as the next form.

THE
HEPTANGLE

The
Heptagram, third form; reflected from every fourth point.

This
Heptagram is the Star of Venus and is especially applicable to her nature. As
the Heptagram is the lineal figure of the Seven Planets, so is Venus, as it
were, their Gate or Entrance, the fitting symbol of the Isis of nature, and of
the 7 lower Sephiroth of the Bride.

Study
this reference in connection with the Venus door of the Vault of the Adepts,
described in the Adeptus Minor grade.

THE
OCTANGLE

The
Octagon, first form; reflected from every second point.

The
Octangle can be reflected in three ways; reflected from every second point when
it is called the Octagon; and as the Octagram reflected from every third, and
from every fourth point.

The
Octangle naturally representeth the power of the Ogdoad. The Octagon showeth the
Ogdoad operating in nature by the dispersal of the rays of the Elements in their
dual aspect under the presidency of the 8 letters of the name Yod Heh Vau Heh
and Aleph Daleth Nun Yod.

The
number of degrees of a Great Circle cut off between its angles is 450; forming the astrological weak Semi-Quartile aspect, evil
in nature and operation.

The
Octagon is not so consonant to the nature of Mercury as the Octagram reflected
from every fourth point.

THE
OCTANGLE

The
Octagram, second form, reflected from every third point.

The
Octagram reflected from every third point yieldeth eight Triangles at the apices
thereof, fitly representing the Triad operating in each Element in its dual
form, i.e., of Positive and Negative, under the powers of the name of
Tetragrammaton Adonai: or as it is written bound together, Yod Aleph Heh Daleth
Vau Nun Heh Yod.

It is
not so consonant to the nature of Mercury as the next form. It is composed of
two Squares united within a circle.

THE
OCTANGLE

The
Octagram, third form; reflected from every fourth point.

This
Octogram is the Star of Mercury, and is especially applicable to his nature. It
is further a potent symbol representing the binding together of the concentrated
Positive and Negative forces of the Elements under the name of YHVHADNI. And
forget not that ADNI is the key of YHVH.

THE
ENNEANGLE

The
Enneangle, first form, reflected from every second point.

The
Enneangle can be traced in four ways reflected from every second point when it
is called the Enneagon; and as the Enneagram reflected from every third, every
fourth, and every fifth point.

The
Enneangle as a whole, is referred to the ninth Sephirah
Yesod.

The
Enneangle naturally representeth the power of the Ennead. The Enneagram showeth
the Ennead operating in nature by the dispersal of the rays of the Seven Planets
and of the Head and Tail of the Dragon of the Moon.

The
number of degrees of a Great Circle cut off between its angles is 40°. The
Enneagon is not so consonant to the nature of the Moon as the Enneagram
reflected from every fifth point.

THE
ENNEANGLE

The
Enneagram, second form; reflected form every third Point. The Enneagram
reflected from every third point representeth the Triple Ternary operating both
in the Seven Planets with the Head and Tail of the Dragon of the Moon, and with
their Aichemical principles countercharged and interwoven.

It is
not as consonant to the nature of the Moon as the Enneagram reflected from every
fifth point.

THE
ENNEANGLE

The
Enneagram, third form, reflected from every fourth point.

The
Enneagram reflected from every fourth point is composed of three Triangles
united within a Circle, and alludes to the Triple Ternary of the Three
Aichemical principles themselves. It is not so consonant to the nature of the
Moon as the next form.

THE
ENNEANGLE

The
Enneagram, fourth form, reflected from every fifth point.

This
Enneagram is the Star of the Moon and is especially applicable to her nature. It
represents her as the administrator to the Earth of the virtues of the Solar
System under the Sephiroth.

THE DEKANGLE

The
Dekagon, first form, reflected from every second point.

The
Dekangle can be traced in four ways; reflected from every second point when it
is called the Dekagon and as the Dekagram reflected from every third, every
fourth, and every fifth point.

The
Dekangle as a whole is referred to the Tenth Sephirah,
Malkuth.

The
Dekangle naturally represents the power of the Dekad. The Dekagon showeth the
Dekad operating in nature by the dispersal of the rays of the Ten Sephiroth
therein.

The
number of degrees of a Great Circle cut off between its angles is 36°; the half
of the Quintile astrological aspect.

THE
DEKANGLE

The
Dekagram, second form; reflected from every third point.

The
Dekagram reflected from every third point is especially consonant to Malkuth and
shows the Triad operating through each angle of the two Pentagons within a
circle, of which it is composed. It alludes to the combination of the 3
Aichemical principles with the Spirit and the 4 Elements in their Positive and
Negative form, under the presidency of the 10 Sephiroth
themselves.

THE
DEKANGLE

The
Dekagram, third form, reflected from every fourth point.

This
form of the Dekagram especially alludes to the concentrated and continuous
operations of the Ten Sephiroth in nature. It is continuously reflected from
every fourth point.

THE DEKANGLE

The
Dekagram, fourth form, reflected from every fifth point.

The
Dekagram reflected from every fifth point is composed of two Pentagrams within a
Circle. It shows the operation of the duplicated HEH of the Tetragrammaton and
the concentration of the Positive and Negative forces of the Spirit and the four
Elements under the presidency of the Potencies of the Five in Binah, the
Revolutions of the forces under AlMA, the Great Mother.

THE ENDEKANGLE

The Endekagram, first form, reflected from every second
point.

The Endekangle can be traced in five ways: reflected
from every second point, when it is called the Endekagon; and as the Endekagram
reflected from every third, fourth, fifth, and sixth
points.

The Endekangles as a general whole are referred to the
Qliphoth. Of its forms, however, the one reflected from every fourth point
represents their restriction, and therefore it is not altogether to be classed
with those which represent their operation in nature, wherefore it is here
separated from them and placed by itself at the end of the
book.

The Endekangle naturally represents the evil and
imperfect nature of the Endekad. The Endekagon represents the dispersal of the
Eleven Curses of Mount Ebal through the Universe. Though they are paragraphed as
12 in the English version of the Bible, in the Hebrew they are paragraphed as
11, two being classed together.

The number of degrees of a great circle cut off between
its angles is 32-8/ 110.

THE
ENDEKANGLE

The Endekagram, second form; reflected from every third
point.

The Endekagram reflected from every third point,
represents the concentrated action of evil in the Averse Triad, symbolized by
the Eleven Dukes of Edom, the horns of the Red Dragon when he ariseth. This is a
reference to one of the Altar Diagrams, the Garden of Eden after the
Fall.

THE ENDEKANGLE

The
fourth form; reflected from every fifth point.

It is
a curious fact that the Endekagram which can be formed reflected from every
fourth point is not so evil as the rest, and represents the restraining of the
evil ones. This abhorance of and incompatibility with the number four is another
mark of the imperfect nature of the Endekad when applied to the symbolism of the
Qliphoth; for by the same that they are shown, so is their restriction shown.
Yet even the Endekangle reflected from every fourth point is not good in
operation, but simply declareth the restriction of evil as will be shown
hereafter.

The
Endekagram reflected from every fifth point represents the concentrated force of
the averse and evil Sephiroth.

THE ENDEKANGLE

The
Endekagram, fifth form, reflected
from every sixth point.

Unto
this form of the Endekagram are attributed the 12 Princes of the Qliphoth who
are the heads of the Evil operating in the months of the
year.

THE
DODEKANGLE

The
Dodekangle, first form, reflected from every second point.

The
Dodekangle can be traced in five ways; reflected from every second point, when
it is called the Dodekagon; and as the Dodekagram reflected from every third,
fourth, fifth and sixth point.

The
Dodekangle as a general whole is referred to the Zodiac, and naturally
represents the powers of the Dodekad. The Dodekagon shows the dispersal of the
influence of the Zodiac through nature.

The
number of degrees of a great circle cut off between its angles is 300 forming the weak astrological semi-Sextile Aspect, good
in nature and operation.

THE
DODEKANGLE

The
Dodekagram, second form, reflected from every third point.

The
Dodekagram reflected from every third point, is formed of two Hexagons within a
Circle, and represents the dispersal and concentration of the Zodiac in
masculine and feminine signs. The masculine being Aries, Gemini, Leo, Libra,
Sagittarius and Aquarius; and the feminine Taurus, Cancer, Virgo, Scorpio,
Capricorn and Pisces. As this Dodekagram is composed of twelve triangles, so do
these allude to the 3 decanates, faces, or sets of 100 of each
Sign.

THE
DODEKANGLE

The
Dodekagram, third form, reflected from every fourth point

This
Dodekagram is formed of three Squares, representing the three Quaternions of
Angular, Succedent, Cadent and Movable, Fixed and Common.

THE
DODEKANGLE

The
Dodekagram, fourth form; reflected from every fifth point.

The
Dodekagram reflected from every fifth
point is formed of four Triangles within Circle, and refers to the
concentrated force of the four Triplicities of the Zodiac operating through
nature.

THE
DODEKANGLE

The
Dodekagram, fifth form; reflected from every sixth point.

The
Dodekagram reflected from every sixth point is a continuous figure; and
symbolizes the 24 Thrones of the schema established over the Positive and
Negative potencies of the Elements in the Zodiac; and over the 24 hours in the
day.

THE
ENDEKANGLE

The
Endekagram third form; reflected from every fourth point.

Symbolizing the restriction of the Qliphoth, Esther IX,
vs. 3 is “Vehachashdrapanim,” signifying lieutenants or deputy governors of
provinces.

Deut.
I, vs. 2. “There are eleven days journey from Horeb by the way of Mount Seir
unto Kadesh Barnea.”

Deut.
XXXII, vs. 37 is VeOmar Ai Elohim Tzur Chasyahbah. “And he shall say ‘Where are
their Gods, their rock wherein they trust?’ or ‘Eleven are their Gods,’ etc., or
Ai are their Gods (Elohim).”

THE CROSS
WITHIN THE CIRCLE

The
Point within the Circle represents the operation of Kether in general; and the
Cross within the Circle that of Chokmah, for therein are the roots of Wisdom.
When using these Lineal Figures in the formation of Talismans under the
Sephiroth remember that:

The Point
within the Circle is Kether.

The Cross
within the Circle is Chokmah.

The Triangle
within the Circle is
Binah.

The Square
within the Circle is
Chesed.

The
remaining Sephiroth should have the double, or triple, or quadruple, forms of
their lineal figures bound together in their talismans; e.g., in the Heptangle
for Netzach, the Heptagon and the two forms of the Heptagram should be united in
the same Talisman, the extremities of the angles
coinciding.

The
Endekangle is appropriate to the Qliphoth.

The
Dod ekangle is appropriate to the Zodiacal forces in Malkuth. Kether that of the
Primum Mobile; Chokmah the Sphere of the Zodiac in command; and Malkuth that of
the Elements.

And
many other meanings are bound together in the lineal figures besides those which
are given in this book. Two or more different forms may be bound together in the
same Talisman.