The Meaning of Sacred Geometry part 2. What's The Point?

Read part 1 of the Meaning of Sacred Geometry here,

“Ante omnia Punctum exstitit…”
“Before all things were, there was a Point.”
Anonymous, 18th century ‘Le Mystere de la Croix’

Sacred Geometry,
to be fully appreciated and experienced, must be undertaken as a
contemplative, or meditative exercise.  From the initial act of putting
pencil or compass point to paper each act of geometry is charged with
meaning.  The process of producing the forms, patterns and symbols of
Sacred Geometry should be undertaken as a ritual act, where each line,
curve, shape, gesture or operation takes on a significance far beyond
the mere act itself, and reveals fundamental processes of creativity on a
vast scale and range of phenomenon, from the geometry of atomic and
molecular organization, through the forms and patterns of biological
systems, to the scale of the cosmos itself and the very structure of
Space and Time.  Indeed, the emergence of the Universe from the
unknowable and unfathomable void, before the very existence of Time and
Space, was an act of Geometry.  It is nothing less than this ultimate
act of Creation which is replicated through the placing of pencil upon
paper and from this point the drawing of a line or arc.  From these
simple operations, the Geometrician soon learns to generate an infinite
variety of form and pattern, and is, thereby, following in the footsteps
of Nature herself, such being the indispensable requirement for success
on the Hermetic path.

Fragment of The School of Athens – fresco by Raffaello Sanzio da Urbino. Room of the Segnatura (1508-1511), Vatican.

ancient masters and teachers geometry was seen as the definitive Holy
Science from which emerged all other sciences.  Masonic author Carl
Lundy affirms this status when he says:

“All science
rests upon mathematics, and mathematics is first and last, geometry…
Geometry is the ultimate fact we have won out of a puzzling universe.”
science rests upon mathematics, and mathematics is first and last,
geometry… Geometry is the ultimate fact we have won out of a puzzling
The presumed requirement on the
part of Plato, the acknowledged greatest Metaphysician of the Hellenic
world, that anyone seeking admission to his academy must be conversant
with the principles of Geometry, affirms the importance of this form of
mental training to anyone desiring to tread the path to Metaphysical

It should come as no surprise that ancient Mystics
visualized God as a Geometrician. That concept is nowhere better
portrayed than in William Blakes famous 1794 painting The Ancient of
Days, depicting the Demiurge, the Creator God of the Universe, setting
his compass upon the Face of the Deep, and through the turning of the
compass bringing Order out of unformed Chaos. This depiction exemplifies
the verses from the 8th chapter of Proverbs, wherein Wisdom establishes
her priority in the hierarchy of Creation by proclaiming:

was set up from everlasting, from the beginning, or ever the earth
was…While as yet he had not made the earth, nor the fields, nor the
highest part of the dust of the world. When he prepared the heavens, I
was there: when he set his compass upon the face of the deep.”

God as Geometrician

concept of God as geometrician is also depicted in a number of medieval
bibles.  As an example, the frontispiece of the Bible Moralisée, ca.
1250, shows God about to impart order to the disordered primeval chaos
within the circle by a rotation of the compass.

All geometric
constructions begin with a single point, represented by the moment that
the point of the compass or the point of the pencil contacts paper. The
construction can commence with either a straight line or the arc of a
circle. Through the combination of straight lines and arcs the entire
edifice of geometry can be produced. To begin an exercise in Sacred
Geometry four tools are required: A clean sheet of paper, a
straight-edge of some kind, a pair of drawing compasses and a good sharp
pencil. With these tools, and an appropriate state of mind, the
geometrician can imitate the primordial process by which the Universe of
Time and Space emerged into existence. In the compass itself we have
symbolized the primordial duality of Rest and Motion, of stillness and
action, for one point of the compass remains fixed while the other
moves, generating the center and the circumference of a circle,
generatrix of all subsequent form.

Metaphysical traditions have
provided us with a variety of models to facilitate comprehension of the
fundamental process of Creation. In the Pythagorean system, in the
Tantric system and in the Kabbalah,
this process commences with the manifestation of a single dimensionless
point, a point, however, of infinite potentiality.  Modern cosmology
now concurs with the ancient models by postulating the existence of an
ultimate singularity that preceded the Big Bang— or however one cares to
describe the initial moment of existence — the difference being that
the archaic model requires an act of Deity while the modern view
dispenses with a creative intelligence.

Kabbalistic Scholar Z’ev
ben Shimon Halevi describes the process of Creation from the perspective
of Kabbalah, the ancient system of Jewish mysticism:

EN SOF AUR, the Endless Light of Will, was omniscient throughout
Absolute All. From God knowing All, God willed the first separation so
that God might behold God. This, we are told, was accomplished by a
contraction in Absolute All, so as to make a place wherein the mirror of
Existence might manifest.
The place that was vacated
was finite in that it was limited in relation to Absolute All that held
it. This act of contraction, or Zimzum, as it was called,
brought about the void of Unmanifest Existence even though it was, we
are told, the size of a dimensionless dot in the midst of the Absolute.”

In Kabbalah the point, or dimensionless dot in the
midst of the Absolute, is understood to be the condensation, or
distillation of Gods essence. It first appears against the background of
negative existence, but this background is separated from the
‘Absolute.’ It is this separation that forms initial act of
manifestation. The Absolute from which the infinitesimal point is
contracted is beyond all words and definitions, it is beyond space and
time, it is beyond Eternity, it is beyond Infinity. To speak of it is
utterly futile; it is both everything and nothing simultaneously.
Between this indescribable, unimaginable and incomprehensible state and
the Universe of galaxies, stars, planets, atoms, molecules, gravity,
radiation, life— in short— Creation as we experience it, lies the zone
of negative existence. The same author, Halevi, in An Introduction to
Cabala describes this zone:

existence is the intermediary zone between the Godhead and his
creation. It is the pause before the music begins, the silence behind
each note, the blank canvas beneath every painting and the empty space
ready to be filled. Without this non-existent Existence nothing could
have its being. It is a void, yet without it and its potential, the
relative Universe could not come into manifestation.”2

The Three Negative Veils

according to the tenets of Kabbalism, this zone has a structure
comprised of three ‘veils’. That veil which is nearest our relative
universe is the veil of Limitless Light, in the terminology of Kabbalah,
the Ain Soph Aur. This Limitless Light Halevi likens to cosmic rays
which are everywhere throughout the Universe and can penetrate densest
matter. The second veil is Ain Soph, simply that which has no limit. It
is the zone where the Ultimate void begins to emerge into something, but
something without limits, utterly without end. NO-thing lies beyond
this, the veil called simply, Ain. Beyond Ain is the Absolute. Halevi
describes the nature and quality of the three veils:

three stages constitute a condensing, a crystallizing out of the Being
who permeates the whole of All; of a point in the centre of a
circumferenceless sphere. This distillation, this point, is without
dimension either in time or space, yet it contains all the worlds from
the uppermost realm down through the ladder of creation to the lowest
end…This all inclusive dot is called the First Crown, the first
indication of the Absolute, perhaps better known as I AM, the first of
many God names.” 3

[section_title title=page 2]

The mention of the “First Crown’’ refers to the now famous Kabbalistic “Tree of Life,”
which is represented graphically as a beautiful and elegant exercise in
Sacred Geometry, where form and meaning are merged in a perfect
synthesis, demonstrating the worlds and levels of creation emanating
from the all inclusive “dot” through a process of geometrical
evolution.  The ladder is an important symbol of the Great Work,
representing the linking of Heaven and Earth and is prevalent in the
symbolism of Freemasonry.  Again, Geometry provides the key to this
cosmic synthesis, but that is a matter for another discussion.
Another modern Kabbalistic author, Charles Ponce, describes the process of Zimzum in similar terms as Halevi. (Although spelling it differently)

Kabbalistic Tree Of Life Diagram and FreeMasonic Tracing Board

term tsimtsum originally meant ‘contraction’ or ‘concentration’, &
appeared in the Talmud where it was used to describe God’s projection
and concentration of his divine presence, his Shekkinah, at a single
point…This voluntary contraction on the part of God, the En-Sof in this
case, is the act which causes creation to come into existence. Without
this act there would have been no universe. ” 4

point, or distillation without dimension, to which Halevi and Ponce
refer, has a precise correspondence in Geometry, for in any geometric
figure a point is considered to be without any dimension whatsoever. The
point lying on the center of a line, for example, divides the line into
two equal parts whose sum is exactly the same length as the whole line.
The point of division occupies no space at all, yet from such an
utterly insignificant point, condensing out of the zone of negative
existence, the whole edifice of Geometry emerges. The “blank canvas beneath every painting and the empty space ready to be filled”,  is
represented in the ritual of Sacred Geometry by the blank sheet of
paper upon which the forms, figures and patterns are set down by the
hand of the Geometrician, and, in the language of modern physics it
represents the quantum vacuum from which a seething ocean of virtual
particles springs forth to become the universe of infinitely varied form
that we experience.

In the realm of Sacred Architecture the single point represents the omphalos,
the position from which the physical form of the Holy Temple emerges,
defined precisely by the sharp point of the plumb bob, suspended on the
end of a cord and directed by the force of gravity to demarcate the
vectorial line linking the celestial zenith
with the center of the Earth.  The construction of the Temple was
perceived as a ritual act recapitulating the process of Divine
Creation.  [pullquote]The construction of the Temple was perceived as a
ritual act recapitulating the process of Divine Creation. [/pullquote]
In Masonic tradition the single reference point was established in the
northeast corner of the building, at which position the cornerstone was
placed as the initial act of construction. In the northern hemisphere
the northeast corner would be the place of greatest darkness, typically
the part of the structure that would not receive direct sunlight.
Therefore, symbolically speaking, the growth of the Temple itself, while
undergoing construction, would be from the place of darkness towards
the light. The Temple with its various ratios and proportions, was
understood by all ancient builders and mystics, to be the embodiment and
symbolic representation of the universe itself, and, therefore, the
building of the Temple was required to emulate the process by which the
universe came into existence. It was understood that the Temple, like
the universe, was a living entity and the minute point of origin
signifying the Northeast corner was the metaphysical seed from which it

George Washington in Masonic Cornerstone Laying Ceremony // Plumb Bob and The Omphalos or Foundation Stone of Solomon's Temple

idea of an infinite potential materializing out of an infinitesimal
point is exemplified in the New Testament parable of the mustard-seed,
Mark, 4th chapter:

“Whereunto shall we liken the kingdom of God? or with what comparison shall we compare it?
is like a grain of mustard-seed, which, when it is sown in the earth,
is less than all the seeds that be in the earth: But when it is sown, it
groweth up, and becometh greater than all herbs, and shooteth out great
branches; so that the fowls of the air may lodge under the shadow of

These passages convey profound meaning on multiple levels simultaneously. The ‘mustard seed’ has meaning in the metaphysical/spiritual dimension, representing the ‘siva-bindu’
the point round which the kundalini serpent lies coiled; on the
Hermetic/Alchemical level, it represents the germ of transmutation; on
the level of nuclear physics, it is the extraordinary power contained
within the atomic nucleus, and in the Cosmological dimension, the
mustard seed represents the ultimate singularity containing the
potential of the entire universe of Space and Time.
One of the pre-eminent Holy Books of Kabbalah is the Zohar,
or Book of Splendor, dating from at least as far back as the Middle
Ages, possibly much earlier, its origins are uncertain. Regarding the
immeasurably small, infinitely potent point it has this to say:

dark flame issued from within the most hidden recess, from the mystery
of the Infinite…It could not be recognized at all until a hidden,
supernal point shone forth under the impact of the final breaking
through. Beyond this point nothing is knowable, and that is why it is
called reshith, beginning, the first of those creative words by which the universe was created.”5

Zohar, I, 15a

Reshith means ‘beginning’ as ‘In the beginning, God created the Heaven and the Earth’ the
opening words of Genesis.  The perspective of the Zohar on these verses
opens a portal onto a vast underlying cosmology that is only accessible
to those who employ the mathematical and geometrical keys to unlock the
hidden teachings concealed below the literary imagery. [pullquote]The
perspective of the Zohar on these verses opens a portal onto a vast
underlying cosmology that is only accessible to those who employ the
mathematical and geometrical keys to unlock the hidden teachings
concealed below the literary imagery.   [/pullquote]Suffice it to point
out for now that in the conceptions of the Zohar the universe was
created by an act of speech, through the utterance of the Word. 
Regarding this unknowable point described in the passage above,
Kabbalistic scholar Gershom Scholem remarks:

“The primordial point . . . was taken to be the second sefirah
or first departure from the divine nothing implied by the image of the
point. It is the world seed, the supreme formative and male-paternal
potency, which is sown in the primordial womb of the ‘supernal mother’,
who is the product but also the counterpart of the original point.”6

The sefirah in Kabbalah are the “emanations” of force and form originating out of the Ain Soph Aur, the third veil of negative existence. The process of emanation of the sefirah
corresponds to the unfolding of form, pattern and proportion through
the process of Sacred Geometry, and results in the manifestation of the
Tree of Life. How appropriate it is that the primordial point is
conceived as the ‘world seed’ paralleling the imagery invoked
by the Grain of Mustard-seed, and likened here by Scholem to male
potency.  The seed metaphor is echoed in the Sanskrit Pratyabhijnahrdayam,
a 10th century sacred text of the Advaita ?aiva Philosophy of Kashmir, a
secret doctrine of Yoga descended from the ancient Indus civilization:

the great banyan tree lies only in the form of potency in the seed,
even so the entire universe with all the mobile and immobile beings lies
as a potency in the heart of the Supreme.”

—Par?trim?ik? 24

If the primordial point, the singularity, is the creative seed, what, might we ask, constitutes the womb of the ‘supernal mother’? Geometry provides the answer as we shall see. But whence comes the seed?  In the Etz Chaim (Tree of Life) by Rabbi Isaac Luria (1534 – 1572), a discourse on concepts found in the ancient Kabbalistic text, the Bahir, we find a description of the process of the self-constriction of God’s light:

“Before all things were created. . . the Supernal Light was simple, and it filled all
Existence. There was no empty space. . . .
His simple Will decided to create all universes . . .He constricted the
Light to the sides . . . leaving a vacated space. . . .The space was
perfectly round. . . .

After this constriction took
place . . . there was a place in which all things could be created. . .
. He then drew a single straight thread from the Infinite Light . . .
and brought it into that vacated space. . . . It was through that line
that the Infinite Light was brought down below. . . .”7

Modern Kabbalistic scholar Aryeh Kaplan gives a succinct explanation of this process in his introduction to the The Bahir Illumination:

“In its literal sense, the concept of Tzimtzum
is straightforward. God first ‘withdrew’ His Light, forming a vacated
space, in which all creation would take place. In order for His creative
power to be in that space, He drew into it a ‘thread’ of His Light. It
was through this thread that all creation took place.” 8

Metaphysical author Elisabeth Haich, in her book Initiation, describes the same process from the standpoint of the Egyptian mystic:

order for a force to emerge from the dimensionless state and manifest
itself, it needs a point of departure.  A point is dimensionless, has
not yet emerged from unity, but is necessary for manifestation… When the
force whose first manifestation was a point emerges from the
dimensionless state and is effective for a period of time, the point
moves and forms a line.” 9

“The point moves and forms a line.” 
The line may be straight or curved, but in either case we have the
transition from the dimensionless point into dimensionality.  In the
simplest preliminary act of geometric construction the point of the
pencil is first brought into contact with the drawing surface and is
then moved along the straight edge.  This first line drawn represents
the ‘thread of light’ manifesting in the void during the process of Zimzum
In the drawing of a circle one first establishes the central point, and
then through the turning of the compass a circumference is generated. 
The radius of the circle, at this stage of the work, is implicit but
invisible. It is the drawing of the radius from the center to any point
on the circumference that represents the first expansion phase of Zimzum, the projection of a thread of light into the vacated space of the void. This diagram conveys the idea Zimzum, with the single thread of light reaching into the void, the zone of Nothingness.

This diagram conveys the idea Zimzum, with the single thread of light reaching into the void, the zone of Nothingness.

[section_title title=New page title]

Kabbalah we learn that the Universe in all its aspects is represented
by the letters of the Hebrew Alphabet, but more than that, we learn that
the letters not only represent forces and energies but are themselves
actual signatures of elemental energies, and the combination of these
letters into words and names is equivalent to the interplay of forces
that brought about all of Creation. The letter Yod , the tenth
letter, is considered the seed letter of the Hebrew alphabet. All other
letters can be seen as combinations and permutations of the basic Yod, and the Yod
begins with the appearance of its’ uppermost point, from which the
remainder of the body of the letter flows forth. This point is the
Singularity and the Yod itself represents the motion of that point through the first infinitesimally short increment of time and space.

The 10th and smallest letter or "seed"  of the Hebrew Alphabet

century French occultist M. Encausse, writing under the pseudonym of
Papus, authored a number of books on Kabbalah, Tarot, and kindred
subjects of the Western esoteric tradition. In his book ‘The Tarot of the Bohemians’ he describes the role of the Yod in the development of the kabbalistic language.

“The Yod,
shaped like a comma or a dot, represents the principle or origin of all
things.  The other letters of the Hebrew alphabet are all produced by
different combinations of the letter Yod. The synthetic study of nature had led the ancients to conclude that
law only existed and ruled all natural productions.  This law, the
basis of analogy, placed the Unity-principle at the origin of all
things, and regarded them as the reflections at various degrees of the
Unity-principle.  Thus, the Yod, which alone forms all the
other letters, and therefore all the words and all the phrases of the
alphabet, was justly used as the image and representation of this
Unity-principle, of which the profane had no knowledge.

also the law which presided over the creation of the Hebrew language is
the same law that presided over the creation of the Universe
, and to know the one is to know the other, unreservedly.”10

this stage of commentary it would be valuable to mention that, prior to
the advent of the Hindu-Arabic numeral system, in ancient Semitic
alphabets such as Hebrew and Arabic, and in the Greek alphabet, each of
the letters served a dual purpose, in that they were both letters of the
literal alphabet, representing phonetic values, while at the same time
representing numerical symbols. The 22 letters of the Hebrew alphabet,
and their final values, were arrayed according to a denary system. The
first nine letters Aleph through Teth, stood for the numbers 1 through 9, counting by ones. The second nine letters, Yod through Tzaddi
stood for the numbers 10 through 90, counting by tens. The numbers 100
through 900, counting by hundreds, were achieved by ascribing final
values to 5 of the 22 basic letters, thus giving a total of 27 values.
In this manner all words, names and phrases comprising Hebrew sacred
writings automatically had numerical values that could be derived simply
by summing the values of the individual letters. The process of
determining the numerical value of Hebrew words formed an important
branch of Kabbalistic studies called gematria.


In this system is to be found the association between language and geometry.  Through the agency of gematria,
words, names and phrases of the sacred writings can be expressed as
numbers and those numbers linked with geometric form.  Words expressing
key concepts or names could be expressed as numerical values and those
values related to one another proportionally and thereby reveal
corresponding geometric relationships.  The system of gematria
opens the door to a truly astonishing system of analogy between literary
images and geometrical pattern and demonstrates that lying beneath the
outer, literal forms of the sacred writings, beneath the stories, the
parables, the moral teachings, resides another dimension altogether, one
of pure geometry and mathematics.  It could be said that the literary
expression of the ancient, sacred writings serves as the vehicle or
means of conveyance for the real teaching, which is another dimension of
knowledge expressed through the Sacred Geometry that emerges from a
numerical reading of Scripture. The hidden geometry of ancient sacred
writings represents an amazing and profound dimension in the application
of Sacred Geometry which is beyond the scope of this article but which I
explore in depth in my advanced classes and will address in future

should be noted that there is a Kabbalah of the Greek sacred writings
as well, for example, the New Testament was originally written in Greek
and displays the same principles of underlying geometric meaning as can
be found in the Hebrew of the Old Testament.  It should also be noted
that the method of numerical substitution leading to mathematical and
geometric insight into hidden dimensions of meaning is not by any means
confined to the Bible, but can be found in various kabbalistic works
such as the Sepher Yetsirah and the Zohar, in Gnostic writings, such as the Pistis Sophia, the Clementine Homilies and others.  Sufism incorporates a parallel method of numerical substitution, called the Cipher of Abjad,
in the interpretation of sacred works composed in Arabic.  See the
works of Idries Shah for an elaboration on this tradition, most
especially see The Sufis (1964).  Papus goes on to elucidate further significance of the letter Yod.

“The numerical value of the yod
leads to other considerations. The Unity-principle, according to the
doctrine of the Kabbalists, is also the Unity-end of being and of
things, so that eternity, from this point of view, is only an eternal
present. The ancients used a dot in the center of a circle as the symbol
of this idea, the representation of the Unity-principle (the dot) in
the center of eternity (the circle, a line without beginning or end.)”

Multi-Valent Symbol of the Sun, Action/Rest and Unity of Opposites

dot within the center of a circle is now generally considered a symbol
for the Sun, but certainly also represents the fundamental act of
geometry, the simple drawing of the circle with the compass. Again, the
numerical value of the Yod is 10.  In this number we have the
symbol for Unity, the All, represented by the number 1, paired with the
symbol for Nothing, the zero, but also implying Eternity, for the circle
has no beginning and no end.  Here we have simple ideograms expressing
the the All and the Nothing, the ultimate duality, conjoined
symbolically by the numerical value of 10, signified by the Yod,
or seed from which all manifested existence springs, including all the
words comprising the sacred writings of the ancient Hebrew seers. The
fundamental duality represented by the All and the Nothing is
recapitulated in the act of geometry, for in every turn of the compasses
there is a stationary fixed limb and an active moving limb, displaying
the dynamic factor necessary for Creation to take place.  This is also
the same duality symbolized in the I Ching by the contrasting
pairs of fixed and moving lines forming each of the 64 hexagrams. In
astronomical terms the fixed limb corresponds to the axis of any
rotating spherical body, such as a moon, a planet, a star or a galaxy
while the moving limb corresponds to any point rotating on the
equatorial circle.
Albert Pike, in his Masonic tome Morals and Dogma, explains the significance of the Yod from the perspective of Freemasonry:

“In the East of the Lodge, over the Master, inclosed in a triangle, is the Hebrew letter YOD. In the English and American Lodges the Letter G? is substituted for this . . . YOD
is, in the Kabalah, the symbol of Unity, of the Supreme Deity, the
first letter of the Holy Name; and also a symbol of the Great
Kabbalistic Triads. To understand its mystic meanings, you must open the
pages of the Zohar and Siphra de Zeniutha, and other
kabalistic books, and ponder deeply on their meaning. It must suffice to
say, that it is the Creative Energy of the Deity, is represented as a
point, and that point in the centre of the Circle of immensity. It is to us in this Degree, the symbol of that unmanifested Deity, the Absolute, who has no name.”12

Holy Name to which Pike alludes is the name of the Old Testament deity,
commonly known as Jehovah, but originally considered to be the
unpronounceable name of God, represented by the 4 letters Yod, He, Vau, and final He, yielding a formula known as the Tetragrammaton.
A future article will delve into the significance of this name from the
standpoint of Pythagorean Sacred Geometry.  Note also that Pike
discloses the fact that in certain Masonic lodges the Yod is
enclosed in a triangle, in this case an equilateral triangle, the
simplest of the polygons and the first to emerge from the circle through
the process of geometric construction. In Masonic lodges the symbol of
the point within the circle is usually depicted with two parallel lines
lying tangent to and on opposite sides of the circle. When represented
this way the symbolism invokes not only geometric significance but
geographic and astronomic as well.  Pike elaborates on further depths of
meaning in the Yod.

is termed in the Kabalah the opifex, workman of the Deity. It is, says
the Porta Cælorum, single and primal, like one, which is the first among
numbers; and like a point, the first before all bodies. Moved
lengthwise, it produces a line, which is Vau, and this moved sidewise
produces a superficies, which is Daleth. Thus Vau  becomes Daleth
; for movement tends from right to left; and all communication is from
above to below . . .Yod is the most occult of all the letters; for he is
the beginning and end of all things. The Supernal Wisdom is Yod; and all things are included in Yod,
who is therefore called Father of Fathers, or the Generator of the
Universal. The Principle of all things is called the House of all
things: wherefore Yod is the beginning and end of all things; as it is written: “Thou hast made all things in Wisdom.”13

The other two Hebrew letters to which Pike refers, the Vau and the Daleth, when added to the Yod,
represents the spelling out of the letter, because, in the Hebrew
alphabet each letter is a name which is actually spelled out in full. 
Contrast this with the Latin alphabet in use for modern English, the
letter D, for example, is never spelled out as if it were a word, i.e.
But in the Hebrew the letter Yod is actually spelled out Yod, Vau, Daleth, or Y, O, D. Rich symbolism can be drawn from this spelling, in that, as already mentioned, the value of the single letter Y is 10, but the value of the Vau is 6 and the value of Daleth is 4. Therefore the total numerical value of the letter Yod
when spelled out in full is 20, or 2 times the value of the individual
letter, suggestive of the idea that a doubling of the potential is
latent in the seed.  In the Tantric system the seed point of infinite
potential is the ‘Bindu.’ One of the indispensable works on Tantra for English readers is The Garland of Letters, by Sir John Woodruff, wherein he discusses the Bindu.

Y (10) + Vau (6) + Daleth (4) = 20

“This ‘Point’ is one of the world’s religious symbols and is set in the center of a Satkona or in a circular Mandala or sphere . . . Where does the Extended universe go at the Great Dissolution (Mahaprajaya)?
It collapses so to speak into a Point. This point may be regarded as a
mathematical point in so far as it is without any magnitude whatever,
but as distinguished from it, in that it has in fact no position. For
there is then no notion of space. It need hardly be said that this is a
symbol, and a symbol borrowed from our present experience cannot
adequately represent any state beyond it. We only conceive of it as a
point, as something infinitesimally subtle, which is in contrast with
the extended manifested universe which is withdrawn into it. This point
is Bindu.”14

[section_title title=New page title]

The limitless potential within the Bindu is suggested by Vi?van?tha in his Commentary to the Satcakra:
“Within the Bindu is a space a hundred million Yojanas in expanse, and bright with the brightness of ten million suns.” 15
(A Yojana is about 8 miles in length.) The duality inherent in the Bindu is described in The Serpent Power, also by Sir John Woodroffe:

“Where does the Universe go at dissolution? It is withdrawn into that ?akti which projected it. It collapses, so to speak, into a mathematical point without any magnitude whatever. This is the ?iva-Bindu, which again is withdrawn into the ?iva-?akti-Tattva which produced it. It is conceived that round the ?iva-Bindu there is coiled ?akti,
just as in the earth centre called M?l?dh?ra-Cakra in the human body a
serpent clings round the self-produced Phallus. This coiled ?akti may be
conceived as a mathematical line, also without magnitude, which, being
everywhere in contact with the point round which it is coiled, is
compressed together with it, and forms therefore also one and the same
point. There is one indivisible unity of dual aspect which is figured . .
. in the Tantras as a grain of gram, which has two seeds so closely
joined as to look as one surrounded by an outer sheath.” 16

In the Vedanta, the metaphysical system originating in the Upanishads,
considered the preeminent scripture of Hinduism, we find a description
of the primordial duality expressed as the infinitesimally small and the
infinitely great conjoined as a single entity, and having both an
internal and an external aspect.

this universe is Brahman . . . it is to be worshiped in silence . . .
Spirit is its material, life is its body, light its form; its resolve is
truth, its self is endlessness. . . this is my soul (?tman) in
the innermost heart, smaller than a grain of rice, or of barley, or of
mustard-seed, or of millet, or a grain of millet’s kernel;—this is my
soul in the innermost heart, greater than the heaven, greater than these
worlds.”17  – Doctrine of Candilya

Here we have a duality of dualities, ‘As Above, so Below’ and ‘As the Inner, so the Outer,’
for those who traverse the path of Metaphysical Knowledge come to
understand that there is an inner Universe as vast as the Outer
universe, and the two are linked by a common geometric harmony,
reflecting one another in a fourth dimensional symmetry. The fundamental
duality is present in the act of Zimzum, which produces a line
defined by its two end points, one of which is the point of inception,
the Singularity at the center of the circle, and the other any point
lying on the circumference, the two connected by a radius.  Again, the Upanishads conveys an awareness of the ultimate cosmic seed as an implicit function of Life.

“?tman, smaller than the small, greater than the great, is hidden in the hearts of all
living creatures.”18

is expressed an important idea lying at the core of Spiritual science:
That there is a locus of infinite potential and power within living
organisms, and according to the teachings of Tantra this is most
concisely represented as the Bindu.  In the systems of occult
anatomy addressed in Tantra this duality imaged by two endpoints of a
line has its counterpart in the form of Siva Bindu, lying at the base of the spine in the Muladhara chakra, and the Para Bindu, concealed within the pericarp of Sahasr?ra chakra, gateway to the thousand petaled lotus, these linked by the line of force called Sushumna, the pathway followed by the Kundalin? ?akti when
she awakens and ascends through the chakras, or vortices of subtle
energy lying along the 33 vertebrate of the spinal column.  The chakras
themselves are always imaged with precise geometric attributes, for
example, the representation of the Muladhara chakra as a 4-petaled lotus, the Sv?dis?hana as a lotus of 6 petals, the Man?p?raka chakra as a 10 petaled lotus,
and so forth.  Understanding the geometry of the chakras is as
important as understanding the sound vibration emitted by each chakra,
the colors, the god names and other attributes.

Chakra Geometries

In The Serpent Power, quoted above, the author goes on to expound on the Bindu and in doing so affirms its dual nature in that there is an internal, spiritual meaning to Bindu as well as an external, cosmic meaning:

“. . . the ?akti coiled round ?iva, making one point (Bindu) with it, is Kundalin?-?akti
. . . She is spoken of as coiled; because She is likened to a serpent,
which, when resting and sleeping lies coiled; and because the nature of
Her power is spiraline, manifesting itself as such in the worlds—the
spheroids or “eggs of Brahma”. . . and in their circular or revolving orbits and in other ways . . . In other words, this Kundalin?-?akti is that which, when it moves to manifest itself, appears as the universe . . . This ?akti coiled round the Supreme ?iva is called Mah?-kundali, (“The great coiled power”), to distinguish it from the same power which exists in individual bodies, and which is called Kundalin?.”19

The Serpent Power is a translation and commentary upon two Tantric texts originally written in Sanskrit. One of the texts, ?at-cakra-nir?pana or ‘Description of the Six Centers’ describes the zone of Para Bindu in verse 48:

“Within its middle space shines the Supreme and Primordial Nirv?na- ?akti;
She is lustrous like ten million suns, and is the Mother of the three
worlds. She is extremely subtle, and like unto the ten-millionth part of
the end of a hair.  She contains within Her the constantly flowing
stream of gladness, and it the life of all beings.” 20

The analogy of the ten-millionth part of the end of a hair illustrates the utter minuteness of the Bindu which, nevertheless, can radiate with the luster of ten million suns.
Western occultism recognizes a cognate symbol in the form of Hadit,
typically associated with the Egyptian god Set in various magical
lodges.  Kenneth Grant head of the British O.T.O and author of numerous
works on occultism defines the term:

“Hadit represents the infinitely small yet supremely potent point or bindu which, in union with Nuit, generates the manifest Universe.” 21

Nut, is the Egyptian goddess of the night sky

Nuit, or Nut,
is the Egyptian goddess of the night sky, and is typically depicted in
papyri and on coffin lids as a woman arched over the Earth in the form
of a semicircle, with numerous stars showing forth from her body. Her
two arms and two legs form the four pillars upon which the celestial
vault is supported. Beneath the arched body of Nuit is seen the supine
figure of Set, or Seb, from whose embrace she has just become
disengaged.  In this occult interpretation Hadit is understood to be the
infinitely potent seed impregnating the goddess of the heavens through
her union with Seb.  This idea brings us into the realm of exobiology,
for modern research is proving the veracity of the Archaic model of life
propagation, that the terrestrial biosphere was the product of cosmic
fertilization of the primordial Earth.  However in the image of coitus
between Seb and Nuit we see the converse of the celestial seeding of
life onto Earth, for here the seed, after germinating in the Earth for
multiple Eons, is being transferred back to the Cosmic domain.

to the Alchemical nature of this process is the fact the Seb is
positioned so that one hand is raised to the heavens while the other is
touching the Earth, again, symbolizing the Great Work, the linking of
Heaven and Earth in Cosmic Union, the meaning behind the Masonic ladder
encountered earlier.  A noteworthy tradition that should not be
neglected has its source with a Sub-Saharan people of Mali, West Africa.

This would be the now well known Dogon
tribe, the subject of several scholarly and popular works.  The Dogon
have developed an exceptionally sophisticated and detailed cosmology
that appears to defy the notion that advanced scientific awareness was
the sole prerogative of Western European culture.  The definitive work
on the Dogon and their traditions is The Pale Fox,
by the two eminent French anthropologists, Marcel Griaule and Germaine
Dieterlen, who spent years in their company, learning their philosophy,
beliefs, and eventually, in the case of Griaule, being initiated into
their most sacred mysteries.   The Pale Fox was originally
published in France in 1965 and was not published in English until
1986.  However, around the time of its first publication in France, an
article was authored by Griaule and Dieterlen which appeared in a book
entitled African Worlds that was subsequently brought to the attention of scholar and Orientalist Robert K. Temple by the inventor and philosopher of Consciousness Arthur M. Young.

[section_title title=New page title]

passage in the article caught Temple’s attention and led him on a
nearly decade long quest that culminated in the 1976 publication of his
research in a work entitled The Sirius Mystery. The passage that so gripped Temple’s imagination read thusly:

starting-point of creation is the star which revolves round Sirius and
is actually named the “Digitaria star”; it is regarded by the Dogon as
the smallest and heaviest of all the stars; it contains the germs of all

What Temple realized was the significant fact that the star which revolves around Sirius, now called Sirius B, is, in fact, a star completely invisible to the naked eye. 
It was not discovered until well into the 19th century with the aid of a
powerful telescope and was not even photographed until 1970.  Yet not
only did the Dogon know of its existence, they were also aware of the
fact that its orbital period is 50 years and had preserved this
knowledge for many generations.  Their traditions included an
extraordinary wealth of sophisticated astronomical knowledge which makes
for a profoundly interesting study.  In recent years controversy has
arisen over the validity of some assertions made by Marcel Griaule,
which has caused defenders of orthodoxy to dismiss all claims to
scientific knowledge on the part of the Dogon.

Without getting
into the question of alien contact invoked by R. K. Temple, it certainly
does appear that the Dogon had a very sophisticated astronomy as
documented by Temple.  Their cosmology appears consistent with other
traditions such as we have discussed.  Specifically they visualize
Creation as emerging from an egg within which is the “po” the seed of all things.  To quote from Griaule and Dieterlens major study of Dogon mythology and cosmology The Pale Fox we learn that “When Amma broke the egg of the world and came out, a whirlwind rose."  The po, which is the smallest (thing), was made, invisible, at the center. . . it is the po which Amma let come out first.” Amma’s creative will was located in the po, the smallest of things . . . it is called po, a word considered to have the same root as polo
‘beginning.’  Indeed, due to its smallness, it is the image of the
beginning of all things. “All the things that Amma created began like
the little (seed of) po.” And, beginning with this infinitely small
thing, the things created by Amma will form themselves by the continuous
addition of identical elements:

“Amma makes things begin (by creating them as) small as the po: he continues to add (to the things created) little by little. . . As Amma adds that . . . the thing becomes large.”23

image of the breaking of the egg and the emergence of the whirlwind are
extremely evocative, especially from the standpoint of the very unique
geometry of ellipsoids and the spiraling movement of matter and energy
in a diverse range of phenomenon from the dance of neutrinos in a bubble
chamber, through the intertwined helixes of the DNA molecule, through
weather systems, through the movement of planetary bodies in space, to
the structure and motion of galaxies. By immersing ourselves in the
study of Ancient Cosmology through a variety of sacred traditions and
then turning to Modern Cosmological thinking, we experience a sense of
familiarity, for lying at the heart of both are models of Creation that
are strikingly similar.  Whatever the origin of the ideas represented by
Zimzum, or Hadit, or Bindu, or Yod, or Po,
or the Grain of Mustard Seed, in modern cosmology the SpaceTime
Singularity emerged as an inevitable consequence of Relativity theory.
In a treatment of the principles of quantum physics and cosmology for
the general reader, author John Gribben discusses the work of physicist
Stephen Hawking in following the implications of Einsteins general

Spiral Motion of Neutrinos and Helical (Spiral) Form of DNA (photo Alamy)
Spiral Motion of Planets Orbiting The Sun

of Hawking’s major achievements . . . was carried out in collaboration
with mathematician Roger Penrose, who was then working at the University
of London.  Together they proved that the equations of General
Relativity in their classical form…absolutely require that there was a singularity at the birth of the Universe, a point at which time began.”24

emerging evidence now leads to the realization that probably every
galaxy has at its core a super massive, super dense singularity
surrounded by a spherical event horizon, mimicking the ultimate
Singularity that presided over the birth of the universe.[/pullquote]I
think we are here justified in asking whether or not Hawking and Penrose
were merely recovering an insight into the most fundamental processes
of Creation which long ago were entertained by the Egyptians, or the
Masters of Kabbalah, or Tantra, or Freemasonry, or the authors of the
Vedas?  Whatever the answer, the parallels between ancient and modern,
between sacred and scientific are indeed compelling; and consistent with
the fundamental ideas of dynamic symmetry and scale invariance in
Sacred Geometry, that the proportions of any whole structure, system, or
composition is reflected in its parts and vice versa, the
emerging evidence now leads to the realization that probably every
galaxy has at its core a super massive, super dense singularity
surrounded by a spherical event horizon, mimicking the ultimate
Singularity that presided over the birth of the universe
.  This
structure comprised of singularity and event horizon was christened
with the now familiar term ‘black hole’ by astrophysicists and
cosmologists. ’ 25

6 Spiral Galaxies Photo: ESO

[section_title title=New page title]

In an early popular treatment of Black Holes, Astrophysicist William J. Kaufman describes the beast:

seen by a distant astronomer, a black hole has formed once a dying star
has shrunk inside its event horizon. But there are still no forces in
nature that can support the star.  So it continues to contract
under the relentless influence of ever-increasing gravity.  The
strength of the gravity and the curvature of spacetime around the
imploding star continue to grow until the entire star is crushed down to
a single point! At that point there is infinite pressure,
infinite density, and, most importantly, infinite curvature of
spacetime.  This is where the star goes.  Every atom and every particle
in the star is completely crushed out of existence at this place of
infinite spacetime curvature.  This is the heart of a black hole.  It is
called the singularity.” 26

What is an ‘event horizon'? 
The event horizon surrounding a black hole is the boundary within which
the gravitational attraction of the collapsing stellar mass becomes so
powerful that nothing, not even light, can escape, hence the plunge into
total darkness that gives these bizarre objects their name.  How does
one even conceive of infinite pressure, infinite density or infinite
curvature of spacetime?  Kaufman continues his account by emphasizing
the very basic arrangement of matter and energy that comprise a black
hole  “It is interesting to note that black holes are very simple…a singularity surrounded by an event horizon. And that’s all!” 27


structure of a black hole can, therefore, be symbolized very
effectively by the simple geometric act of drawing a circle, the central
point representing the singularity and the circumference its event
horizon. The diameter of the event horizon is directly related to the
mass of the black hole, the more massive the dying star the greater the
event horizon. Our Sun is not massive enough to form a black hole when
it reaches the end of its life cycle. A star 10 times as massive would,
however, be of sufficient mass to terminate its existence by collapsing
into a black hole. A star of this size would disappear behind the dark
veil of the event horizon when it reached about 37 miles (60 km) in
diameter.  In 1975 Astrophysicist and Noble Laureate Subrahmanyan
Chandrasekhar wrote,

“In my entire scientific life . . . the most shattering experience has
been the realization that an exact solution of Einstein’s equations of
general relativity . . . provides the absolutely exact representation of
untold numbers of massive black holes in the universe.”

now appears that like billions of raindrops, nucleating around minute
specks of particulate matter in order to fall to Earth as a Life giving
rainfall, billions of black holes serve as the nuclei for the
accumulation of stellar mass into galaxies and metagalaxies, pouring out
of the Ultimate singularity at the heart of Creation to bring Life and
Consciousness into the Infinite Void of Absolute Nothingness.  In trying
to wrap their minds around ideas of such profundity Cosmologists have
had to concoct a number of conceptual models that can provide at least
partial analogies for the events and processes under consideration.  One
of the most useful models has been termed the ‘Cosmological
Principle.’  The fundamental idea behind the ‘Cosmological Principle’ is
that the universe can be likened to an expanding sphere, with the bulk
of visible matter of the universe arranged into galaxies— the largest
structure of matter and energy observable, for now, from our human
vantage point—and these are visualized as dots on the surface of the

Artist Rendering of Universal Superstructure as Envisioned by the  Cosmological Principle

analogy is frequently presented of an expanding balloon with dots
painted upon its surface.  As the balloon expands the dots move away
from each other.  To an observer stationed at any one of the dots all
the other dots would appear to be receding, not only from the observer
but from each other as well.  While it may appear to the observer that
he or she is at the center of the system, it would be obvious to an
observer looking at the balloon from the outside that no dot would
actually occupy a center any more than any other dot. Relative to the
surface of the balloon, the center would be both everywhere and nowhere
simultaneously. However, a center of the expansion process could be
hypothesized.  If the balloon was perfectly spherical it would have a
central point from which it was uniformly radiating as it expanded. What
interests us in the context of this discussion is the initiation of the
process of expansion.  If we reverse the process, visualizing the
balloon shrinking to an ever diminishing radius, at what point will we
have reached the absolute beginning?  Is there a lower limit beyond
which we can no longer decrease the radius of the sphere, or does it
ultimately shrink to zero, which is, in effect, inverse infinity?  This
is the assumption behind the idea of the singularity.  But, according to
the precepts of relativity, it is not only Space, but Time as well,
that has its genesis in the Singularity.

Of course the expanding
model is only a means to provide some kind of analogy to reality as we
experience and observe it within the limitations of our unique human
centered, Earth centered vantage point.  In effect, as we attempt to
visualize the process of Creation, it becomes necessary to visualize the
origin of Time and Space simultaneously, implying that the universe,
rather than being an expanding three dimensional sphere, is an expanding
fourth dimensional hypersphere. By observing the present rate of
expansion of the universe, it is possible to infer the time span since
the expansion began.  By imagining the spherical universe spreading out
radially in all directions, then reversing the process so that the
sphere begins to collapse upon itself, in the nature of the ‘Great
Dissolution’ or Mahaprajaya as referenced earlier in The Garland of Letters, and
accelerating the rate of this contraction to account for the effects of
gravity, one can obtain an approximate span of time since the expansion
commenced, the moment in which all of Creation had its genesis.

have performed this hypothetical reversal and derived an age of about
15 billion years, with a margin of error of a few billion years more or
less, owing to the fact that there is a large degree of uncertainty
regarding the precise rate of expansion.  In any case, at some point
going backward in time, all the matter of the universe would eventually
have been compressed into a state of infinite density.  Some moment,
just preceding the collapse of all matter in the universe into an
infinitesimally small dot with a radius of zero, marks the very
beginning of Space/Time.  Cosmologists have reckoned this moment to have
been 10-43 part of one second subsequent to the Absolute, unfathomable
beginning of Reality.

In The Quickening Universe author and astronautical engineer Eugene Mallove has
written on the subject of the origins of the universe and of human
destiny as an implicit function of the universe.  He describes the
ultimate primordial condition from the cosmological perspective:

beginning occurred about 15 billion years ago.  The universe came out
of the Big Bang expansion of all space-time starting then.  All matter
didn’t explode from a highly compressed state into an infinite void. 
Rather, space-time itself blew up from a virtually infinitesimal point,
continuing to expand and allowing galaxies of stars to evolve and grow
ever further apart.  Moreover, this point is infinitesimal in the almost
unimaginable sense of a spherical surface that shrinks ever smaller
toward a point, or an infinite volume that squeezes down to oblivion…”

Will the universe as we know it continue to expand
forever, or will it eventually, at some inconceivably distant future
time, begin to undergo a contraction, returning ultimately to its
primordial state, where all spacetime as we know it is compressed out of
existence, from whence it might once again undergo cosmic expansion?

No one knows.

even a cursory consideration of ancient and modern cosmological models
underscores their striking correspondence.  Did Ancient masters of
Kabbalah, Tantra, or Hermetic Science have access to a level of
knowledge of which modern science has only recently come into
possession?  Vedic models of cosmology postulate the occurrence of
successive Creations, the great lifetimes of Brahma, reckoned according
to the vast cycles of the Kalpas.

Did Archaic science grasp the idea of a relativistic universe?  If so, what was the source of this knowledge?
Is such knowledge evidence for the existence of a technologically
advanced society at some time in the past, now forgotten to history,
which was capable of studying the macroscale structure of the cosmos? 
Or is it an implication regarding the metaphysical architecture of Human
consciousness itself?  Or is it some combination of both?  Whatever the
answer, we are left with the Singularity, either as the beginning of it
All or the  End of it All, perhaps both. That single point, the
infinitesimal dot, marks the beginning of our journey into the kingdom
of Sacred Geometry, and a truly astounding kingdom it is to those who
can successfully navigate its trackways.
The practice of Sacred
Geometry opens to the mind’s eye an analog of alternate worlds, higher
dimensions representing the ultimate creative process and an unfolding
evolution from Unity to multiplicity, and it demonstrates the fact that
this unfolding on a cosmic scale is governed by the laws and relations
of geometry.[pullquote]The practice of Sacred Geometry opens to the
mind’s eye an analog of alternate worlds, higher dimensions representing
the ultimate creative process and an unfolding evolution from Unity to
multiplicity, and it demonstrates the fact that this unfolding on a
cosmic scale is governed by the laws and relations of

The Holy Kaballah represents this process by
means of the Tree of Life symbol and the 10 emanations issuing there
from as fruit, and these are elegantly exemplified by a unique geometry
of simple intersecting circles.
Physicist John Wheeler asked “What else is there out of which to build a particle except geometry itself?” but the same question might well be asked of the macroscale— “What else is there out of which to build a Universe except geometry itself?”  The modern master of Sacred Geometry, Keith Critchlow,
recognized that the Sacred Temples of old encoded this cosmological
geometry and could serve to integrate human consciousness on a
collective scale, because, as Sacred Geometry demonstrates, we Humans,
each of us, are the ultimate measuring rods of Creation, for encoded
into out very anatomy are the fundamental proportions upon which the
Universe is built.

Describing this geometric order underlying all of Creation, Critchlow says:

is cosmology in the original sense of an ordered universe, a creation
unfolding from a single all-embracing source or reality. The study of
the ratios of this unfoldment has the benefit of indicating similar
ratios for the return journey from multiplicity to unity.”29

these are the concepts that must inform and illuminate the commencement
of our practice of Sacred Geometry.  In the performance of this ancient
Art, we begin with simple forms, and move towards increasing
complexity, even as does the Universe in its evolution, and as does
living Nature as it evolves from a single cell through myriads of
species into a Human Being with the capacity for self-cognition.  As we
grow in our understanding of the proportions and harmonies expressed
through the geometric process, we can begin to perceive the hidden
patterns of Creation that unite widely disparate phenomenon, Natural and
Human, into a synthetic whole and we can understand the literal truth
that, as the Inner reality and the Outer reality are but reflections of
one another, and As it is Above, So it is Below — the geometry of the
Universe is a reflection of the geometry of our Consciousness — and, by
following the pathway from the unity of that single, ultimate point of
conception to the magnificent diversity of form which emerges beneath
our compass and straightedge, we transcribe into our Consciousness the
map that will guide us on our return journey to the Cosmos, to wholeness
and final integration with the Godhead, the Atman, the source of All.

“. . . plunge into eternity, where recorded time seems but a point.” - Shelly, Prometheus

Sincerely Yours,



[Editors Note:  If you are interested in taking Sacred Geometry classes or workshops with Randall please send us an email.  Telecourses coming early 2013 for students outside of the Atlanta area.]




Upcoming Articles:

  • The Alphabet of Sacred Geometry
  • Proportion: The Foundation of Harmony
  • Scale Invariance and Dynamic Symmetry
  • Sacred Metrology



1 Z’ev ben Shimon Halevi (1977) A Kabbalistic Universe, Samuel Weiser, Inc. pp. 7 – 8

2 Z’ev ben Shimon Halevi (1972) An Introduction the Cabala: Samuel Weiser, Inc. p. 28

3 Halevi (1972) p. 29

4 Charles Ponce (1973) Kabbalah: An Introduction and Illumination for the World Today: Quest
Books, p. 79

5 Quoted in Gershom Scholem (1960) On the Kabbalah and Its Symbolism:, Schocken Books, English translation by Ralph Manheim, 1965, pp. 102 -103

6 Scholem (1960) p. 103

7 Quoted in Kaplan, Aryeh (1979) The Bahir Illumination: Samuel Weiser. Attributed to Rabbi
Nehuniah Ben Hakana, 1st century C. E., Translation by Kaplan, p. xiv

8 Kaplan (1979) p. xiv

9 Elisabeth Haich (1960) Initiation: Seed Center, translated from the German by George Allen & Unwin, Ltd, 1965 p. 229

10 Papus (89 ) The Tarot of the Bohemians: Translated by A. P. Morton. Republished by Wilshire Book Company, 1978. p. 19

11 Papus (89 ), p. 20

12 Pike, Albert (1871) Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry, p. 15

13 Pike, Albert (1871) p. 792

14 Woodruff, Sir John (1922) The Garland of Letters: Ganesh & Co. (Madras) Private Ltd. 5th ed. 1969. pp. 144 – 145

15 Quoted in Woodroffe, Sir John (1918) The Serpent Power. Translated from the Sanskrit by the Author, Ganesh & Companry, Madras, India. p. 413

16 Woodroffe, Sir John (1918) pp. 34 – 35

17 Deussen, Paul (1912) The System of the Vedanta, trans. by Charles Johnston, Republished by
Dover Books, 1973, pp. 152 – 153

18 The Upanishads, translated by Swami Nikhilananda (1963) Bell Publishing Co. p. 73 I. ii. 20

19 Woodroffe, (1918) pp. 35 – 36

20 Woodroffe, (1918) p. 447

21 Grant, Kenneth (1974) Aleister Crowley and the Hidden God. Samuel Weiser, p. 209

22 Temple, Robert K. G. (1976) The Sirius Mystery: St. Martins Press, Inc. p. 2

23 Griaule, Marcel & Dieterlen, Germaine (1986) The Pale Fox: Originally published in French as Le Renard Pâle, 1965. Translated from the French by Stephen C. Infantino, Ph.D., Continuum Foundation, pp. 130 – 131

24 John Gribben (1986) In Search of the Big Bang—Quantum Physics and Cosmology: Bantam
Books, p. 381

25 Shankar, Francesco (2009) The demography of supermassive black holes: Growing monsters at the heart of galaxies: New Astronomy Reviews, Vol. 53, pp. 55 – 77

26 William J. Kaufmann, III (1979) Black Holes and Warped Spacetime: Bantam Books, pp. 88 –

27 Kaufmann (1979) p. 89

28 Mallove, Eugene T. (1987) The Quickening Universe: Cosmic Evolution and Human Destiny: St. Martins Press. pp. 52 – 53

29 Critchlow, Keith (1977) Forward to Gematria, A Preliminary Investigation of The Cabala by Bligh Bond and William Simcox Lea (1917) Republished by Research Into Lost Knowledge Organization