Hexagrammal Fields is one of the defining characteristics of Mutational Alchemy overall that makes it distinct from every other form of spiritual alchemy on Earth. Whether we are dealing with the 64 binary hexagrams or the 729 ternary hexagrams, the ability to build any hexagram according to a rational and uniform logic puts Mutational Alchemy in a league by itself. It is one thing to divine a hexagram according to traditional methods. It is quite another thing to position ourselves within it and construct it at will as a controlled visualization exercise. This gives us a tenable form of Will Magick quite unlike anything which has ever been demonstrated in the past.
Hypothetically we can do whatever we want to when it comes to aligning the 32 hexagrammal pairs to the 32 Paths of Wisdom on the Tree of Life. The problem is that there is no way to know if our assertions are right or wrong. Neither the Tree of Life nor the 64 binary hexagrams follow an exact chronological ordering, yet both follow an implied chronological ordering from end to end. When Gottfried Wilhelm Leibniz studied the YiJing in the 1600’s he discovered an intriguing thing. The older of the two systems he examined (called the Early Heaven sequence) followed an exact reverse numerical arrangement where the later sequence (commonly called the King Wen arrangement) did not follow any. For its part, the Tree of Life starts out following an exact chronological arrangement in order from 1-10 but suffers several unaccountable breaks thereafter. The Proximity Principle steps up to repair the damage to the Tree but correcting the hexagrams leads us into more complex realms of exploration. For one thing, the first 10 of the 32 (called the ten sephiroth) amount to the equivalent of chakras in Ayurvedic tradition. They are special among the 32 constituting the hub around which everything else unfolds. So a perfect ordering of hexagrammal pairs will have to account for this peculiarity somehow.
Here’s a couple of charts to get you thinking in terms of the basic elemental structures. For our purposes here in this article we are only going to be focusing on the smaller of the two charts with its 4 bigrams and subsequent elements. We will be using the Word of Perfection to do any actual building of structures. These are all outlined on the far right of the charts under Banner Assignments. The Word of Perfection (discussed in greater depth on this site) is uniquely perfect for our intention of building these structures with its 3 divisions neatly corresponding to 3 line types we are confronted with here. Briefly stated, a Heaven (Yang) Line is always built with the Heaven Word (A-H-I-H); A Man (Jen) Line with the Man Word (A-H-V-H) and an Earth (Yin) Line with the Earth Word (I-H-V-H). There are more complex strategies we could invoke but in this case it is more advisable to follow the simplest possible method.
I refer to this chart as the four pillars, important because it identifies the four chronological arrangements of trigrams of which the Heaven Descending arrangement most closely parallels the 32 Paths of Wisdom. It is the numerical opposite of the Earth Ascending arrangement which is identical to the oldest Early Heaven arrangement assigned to the mythological FuXi. Mutational Alchemy utilizes both of these arrangements to arrive at its TwinTrees Arrangement, the only arrangement on earth that resolves the balancing of opposites in such a way as to account for the unique characteristics of the ten sephiroth. The chart below demonstrates how this plays out, where the first 10 sephiroth utilize the balanced/unbalanced system of hexagrams to their fullest possible advantage. A balanced hexagram is any hexagram that has the same number of yin and yang lines (always 3 each). All other hexagrams are unbalanced according to this definition. It is a mathematical anomaly that the 64 binary hexagrams have exactly 20 balanced and 44 unbalanced hex’s. Paired together in the right way we get 10 (balanced) sephiroth plus 22 (unbalanced) paths.
Ordinarily, there is quite a bit of explanation that defines how we get from point to point in hexagrammal field theory but the purpose of this immediate article is to demonstrate the fields themselves in as short a distance as possible to the reader. Consequently, a lot of detail is being omitted from this discussion. The glyph in the above outlines the Temporals Arrangement which marks the furthest place which has currently been reached defining how the hexagrammal pairs are placed on the qaballistic Tree of Life. It is called the Temporals Arrangement due to the staggered chronology of its predecessor (called the Primordials Arrangement) giving us a division that sets the 10 sephiroth apart from the 32 Paths of Wisdom according to the balanced/unbalanced system within the 64 binary hexagrams. This results in a staggered chronology only necessary if we want to parallel the Tree of Life as closely as possible, leaving us with a division virtually identical to the division Da’ath leaves us with within the Tree of Life system.
In order to build hexagrammal structures we need to convert straight line values to circular ones. We refer to this as alchemical projection. The straight lines become circular because we posit them as such. We posit them as such because it works better and this is the long and short of it. Straight lines work fine as a kind of mental shorthand against a flat surface but lack the power to take root internally in 3 dimensions. For this we need to go the extra distance of converting them to circles which then anchor correctly internally. Occasionally a few people will experience trouble with this despite the fact that it really isn’t especially difficult. It helps to think of the lines as planes which are already circular (or spiral) in nature, whether yin, yang, or jen. In general, practise makes perfect with respect to converting lines to circles.
Choosing which hexagrams to build is especially easy since we can simply do readings, the same as you would if you were inquiring from the YiJing as an oracle. Only in Mutational Alchemy, you can derive your hexagram, study it and build it. Being able to build it allows us to go an extra step in working with our readings that imparts personal power to the hexagram and vice verse. Since we also get Tree of Life properties doing readings this way we derive a great deal more than using conventional means.