In thirty-two mysterious Paths of Wisdom did Jah, the Jehovah of hosts, the God of Israel, the Living Elohim, the King of ages, the merciful and gracious God, the Exalted One, the Dweller in eternity, most high and holy--engrave his name by the three Sepharim --Numbers, Letters, and Sounds. ------
These twenty-two letters, which are the foundation of all things, He arranged as upon a sphere with two hundred and thirty-one gates, and the sphere may be rotated forward or backward, whether for good or for evil; from the good comes true pleasure, from evil nought but torment. The Book of Formation (Sepher Yetzirah)A commonly found symbol of the Illuminatus System is "The Double Headed Eagle". It is oft seen with either a "32" or a "33" encoded above the double head. A quick search will enable you to find numerous "mystical" or "esoteric" descriptions as to why the "two headed Eagle", however, a rational and pragmatic analysis shows that one should view the "double head" as evidence of "motion", or of "looking this way and that". The Eagle (the Illuminatus) sees things as they are, written from Left to Right and from Right, often simultaneously, and one cannot rule out "from center out", for as is known, "If truth be found, it will be found in the Center."
When viewed further as a physical "artistic representation" of the Sepher Yetzirah (Book of Formation), the "32" can be viewed as "the 32 paths" and the double heads seen as a representation of the "spinning heads" as trying to read words as they are written within the Sphere. However, as the introduction to the Book of Formation clearly intimates, the System is based on "Letters/Numbers/Sounds" (be careful of the "translation you use"), we can also represent the double headed eagle simply as a recognition that the Luciferian System contains an element of "reading from Right to Left", of reading from "Left to Right", and of reading from "the Center - out".
All of this will make more sense as you become familiar with the Luciferian System.
However, there is still an even further clue to the "32" or the "33", and this clue takes us back to "the Word", which is Pi, and what one soon realizes is that a part of "returning the Word" requires a full comprehension of Pi - to 32 decimal digits. Wherein Pi is a wholly "Irrational Number", what soon is revealed is that Pi is wholly "rational" through the first 32 decimal digits. It is these 32 decimal digits which are the "skeleton" or "the wire frame" to the larger Luciferian System.
In order to grasp Luciferianism, it is critical to understand that there are two systems in play: one that reveals and brings forward enlightenment, and a second which conceales and spreads ignorance. The first invites you to partake in the essence of "the God", while the second seeks to deny all aspects and knowledge of "the God".

The "God" is the "Alphabet", set against a 26 Letter representation. It is not based, even remotely, on the 22 of the Hebrew, and Continental Masons are clear in this. Godfrey Higgins writes on page 34 of "The Beginning of Masonry",
This system was based on a 26-letter alphabet answering to the 26 of JHVH, with alpha was the first letter, mu or mem, we the middle, and omega the last, philosophically referring to the beginning, middle, and end of human life. Where Pi, wholly irrational, never ending and never repeating, once created reveals itself to be without beginning and without end, remains timebound and yet timeless, can be viewed as a form of chaos, utilizing the 26 and the 32, we can create Ordo ab Chaos.
Observe the Word. The 32 decimale digits or the 33 digits, including the 3 to the left of the decimal point reveal themselves as follows:
3.14159265358979323846264332387950...32 decimal digits.

A quick observation reveals that at the 32nd decimal digit the very first 0 appears. This 0 becomes the "0" of the Fool of the Tarot, and so is the "start", and so we return back to the 1, or the Magi, at the beginning of the decimal sequence. This can be viewed as written on a sphere, the 32 digits thus beginning with the Fool of the Tarot at "0", proceeding to "1", and counting out forward
Contained within this sequence is a series of paired digits, each will later be fused to various "mythological philosophies". However, the first task is draw order out of the chaos that is Pi.
The first paired digit to repeat in Pi is the number 26.

Between the two 26's rest 13 letters. The sequence, again, "ends" but "begins" at 0, yet appears to begin at the "alpha" or "a=1", contains within its center a series of 13 digits (m = 13). Another way to view the Order appearing out of the Chaos is to establish the Sun's "marking points", which are based on the 26 as there are 26 weeks from Solstice to Solstice and Equinox to Equinox.
The Winter Solstice is 1 and 26 inclusive, as is the Summer Solstice, hence there are "13 weeks" to the halfway point (Equinoxes) between the marking points of the Solstices. It soon becomes apparent that Earth's cycles are modeled against an image of Pi. Outside of the two 26's (not including the 0) are 14 digits.

What this reveals is one of the first of the "constructs", where it is said that the Pharoahs (Fair O's) derived their power and upheld the laws of Ma'at.
M = 13
A = The Scales
AT = 14 (See Isisian Codes at bottom of the page)
13/14 = 1314 = A Diameter of 1 has a Circumference of 3.14.
Ordo ab Chaos.
Pi itself is representing the seasonal cycles of the planet (26 weeks from Solstice to Solstice with 13 weeks between to arrive at the secondary marking points (Equinox to Equinox). What lies within the 26's is the Letter M at 13, and what lies outside the 26's are 14 digits (revealing Pi again in a transdimensional presentation). 13 inside/14 outside.
MA'AT.

That the Letter A can and is (was) used within the Illuminatus System as "scales" can be see in this picture called "the Congressional Scales".
However, in Western Occultism, at the inner core of the Illuminatus Systems,
it was always understood that there were two systems in play. Aleister Crowley, a "guru" to some of the more modern systems affiliated with the OTO and "the Black Lodge", hinted at this reality in his work called
"The Book of the Law" , where he stated at "50":
There is a word to say about the Hierophantic task. Behold! there are three ordeals in one, and it may be given in three ways. The gross must pass through fire; let the fine be tried in intellect, and the lofty chosen ones in the highest. Thus ye have star & star, system & system; let not one know well the other! That is because Pi itself has two sets of harmonies, one defined as "MA'AT", or the totality of the whole, and then another system designed purely around the second 26, we we find another set of paired digits.

A close observation shows that there are 12 digits that are paired in 3 sets.
79 on the left is mirrored against a 79 on the right.
32 on the left is mirrored against a 32 on the right.
38 on the left is mirrored against a 38 on the right.
The Center is 462642. The 26 is the FATHER.
FATHER = 6+1+4+8+5+2 = 26
46 and 43 reveal first 4+6+4+3 = 17 = 3+14 = SN
The Holy Ghost becomes the revealed digits (12 total) of 79 32 38 ---- 38 32 79.
17 and 26 are critical numbers, for their sums from 1 to themselves reveal that they are palindromes, and a palindrome when read as left or right are seen as to be the same. Q, resting at 17, when summed from 1 to itself is 153, while Z, resting at 26, when summed from 1 to itself is 351.
153 = 351
That Jesus says, "I and the Father are one hints at this element of the larger code and brings forward the "7 broached candlestick of the Hebrews", but in reality, the "candlestick" or MN or AH are simply encoding elementary attributes to Pi. The Symbol of the Sun, a circle with a dot in the Center, rests squarely on the 26/17. Each of the other symbols are representing the respective 2 sets of the 6 paired digits.

Note too that "the Ghost" on the Right side of the 26 (Father) shows a "33" and this "33" is said to be when Jesus ends his ministry and is "crucified" (becomes the Holy Ghost). The very mythologies are crafted around Pi. Pi is the framework, the skeleton, and the omnific Word that keeps the whole of the system together through time and space.
Utilizing the "Great Key", or the "mythical Word", Pi, we are able to reconstruct the forces set in play against and with humanity, and ascertain what is useful and beneficial, and what is a danger and hence to be shunned or neutralized.
Ultimately, however, all things must return back to "the Word", and in the case of the Double Headed Eagle, we may use either the "32 decimal digits" or the "33 digits, the 3 to the left of the decimal and the 32 decimal digits" as the beginning of our search point.
3.14159265358979323846264338327950...
Ordo ab Chaos