The Secret Enneagram of Gurdjieff derived from the enhanced Enneagram figure

© 2014 by Dylan Stephens

The published Enneagram of Gurdjieff (yellow and green) derived from the Enhanced Enneagram:

Here is the a circle divided into nine points called an enneagram (Greek: εννεα, "nine"). All possible lines are shown in the following Enhanced Enneagram which shows in yellow and green the ordinary Enneagram introduced by Gurdjieff where the lines of connection are from each note in the musical octave. (There are two places that are connected to the yellow triangle which have no notes but represent the places of influence of the Law of Three):

The mathematically elegant derivation of the Gurdjieff Enneagram lines is as follows:
Calculate the decimal value of one divided by seven for the Law of Sevenfoldness:
1/7, 2/7, 3/7, 4/7, 5/7, 6/7 giving .142857...,285714...,.428571...,571428...,.714285...,857142 ...
Note that these give a repeating decimal. If a number of each of the nine points and connect
the numbers the green figure which defines the Gurdjieff enneagram
(the order of the repeating decimal also determines the direction 1 to 4 to 2 to 8 to 5 to 7):

Note this enneagram is now tagged as Fourth Way Enneagram by Wikipedia to distinguish it from the nine pointed geometric figure and the Nine Personality Types which were lifted from Gurdjieff by Oscar Ichazo and Helen Palmer and which are about as valuable as Chinese Astrology in achieving personal growth.

In "The Enneagram in the Writings of Gurdjieff", the author Richard J. Defouw (Amazon) explains the missing substance at 'la' in the Food Octave as being an intentional omission by Gurdjieff and comes up with an well-thought out process of two sets of three functions that appear to solve the missing 'la' position problem. (His proof relies primarily on proving that the six Voyages to the Earth follow the enneagram order - this is logical as there are not seven - but this does not prove his enneagram function order.)

On page 78, the author shows a map of dancers performing a "par de deux". I was intrigued by this and built the following animation which follows the spirit of the above author's diagram of six systems. (Please be advised to check the author's book for the correct one.) One dancer in the middle is a pivot point for the other dancer who is moved from the point on the right to a point on the left with the left dancer becoming the pivot point for the next set. For the dancers I used the angel and the devil from the cover design of the prospectus for the Gurdjieff Institute (1919). Technically, the angel is supposed to represent the passive force and the devil the active force, in my figure they must swap natures alternately. I have shown the dancer at 'la' having to move to position 'ti' to allow for the problem of the missing position in the Food Octave. Other than that the diagrams match the author's. (However, I still hold to my solution of the Food Octave even if it points to a mistake by Gurdjieff.)

This is the Secret Enneagram vortex shown by Marko Rodin

It is built by doubling and reducing by adding the digits of the number over 8 thus 1, 2, 4, 8, 16 (7), 32 (5), 64 (10 = 1 thus repeating).

It is the same as the Gurdjief enneagram flipped:

but shows the true perpetual motion:

The significant similarity of the Gurdjieff enneagram and the Marko Rodin Vortex is that both indicate the two directions of action: 're'-'mi' towards 'fa' and 'ti'-'la' towards 'sol'. (The only difference is in the lines of action of the Gurdjieff enneagram that appear to make 'mi' the result of 'fa' and 'la' the result of 'sol'. I would propose these two lines should be reversed as indicated:

Then there are two symmetrical actions 're'-'fa'-'mi' and 'ti'-'sol'-'la' that are joined by the lines 'mi'-'ti' and 'la'-'re' indicated by the crossed laurels having a similar function to those in the prospectus for the Gurdjieff Institute (following my figure). The crossing point of the two lines could be considered as the seventh point of the six enneagram points, just below God at 'do'.)

Chapter 39 The Holy Planet Purgatory

The passage through the discontinuity of 'ti' to the higher 'do':

"And so, my boy, this totality of their first being-food which results from the evolution in these beings-apparatuses, corresponds with its vibrations to the last Stopinder of the being-Heptaparaparshinokh, and according to the particularity of this Stopinder, it enters the 'higher-intentionally-actualizing-Mdnel-In' of the law of Heptaparaparshinokh;"

The passage of 'sol' to 'la':

"and in order to transform completedly into new higher substances and in order to acquire vibrations corresponding to the vibrations of the next higher vivifyingness, namely, corresponding to the fifth Stopinder of the fundamental process of the common-cosmic Sacred Heptaparaparshinokh, it inevitably requires just that foreign help which is actualized only in the presences of the three-brained beings exclusively owing to those factors mentioned by me more than once and which are manifested in the 'being-Partkdolg-duty,' that is, owing to just those factors which our COMMON FATHER CREATOR ENDLESSNESS consented to foreordain to be the means by which certain of the Tetartocosmoses—as a final result of their serving the purposes of the common-cosmic Iraniranumange— might become helpers in the ruling of the enlarged World, and which factors also until now serve as the sole possible means for the assimilation of the cosmic substances required for the coating and perfecting of the higher being-bodies and which we at the present time call 'conscious labors' and ‘intentional suffering.’"

Thus the energy necessary for the passage through the discontinuity 'ti' to 'do' is activated by the passage of 'sol' to 'la' by means of service to God above, as indicated by the lines pointing down. (The growth of Soul). Its mirrored image on the right side represents the life force of a human being. (The Body.) The positions 'fa' and 'sol' are the neutral force (Kesdjanian/Astral body) between the Body (passive) and the Soul (active) - assuming, of course, that the such a human possesses consciousness and conscience. (See Being Partkdolg Duty.)

For more information on the Law of Seven related to the Book of Revelation, see my novella:
The Seven Sisters and the Apocalypse

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