The golden path (3 + 4 = 7) reveals 7 as a diagram of the triangle (3) mounted on the square (4).
In this way we have discovered that Myrmidon(7) will be the apex of our journey, or the highest point we may reach before the true conclusion at the Capstone. From here all that follows will be a light through the door of Theta (8), the antechamber to 9.
Mask Of Hate is the first component of the powerful Ternary complex 1, 3, and 6. The first document recorded an ambiguous structure of three sub-compartments, two of which were further divided into halves, creating the possibility of 5. A fourth (or sixth) sub-compartment was hidden beneath the floor of the third.
This multi-dimensional structure reflects the dynamic and shifting role of 1. Since completing the initial document we have become aware of 1 not only as cornerstone and root of Ternary complex 1, 3, and 6, but also as The Seed Of Corners (Quaternary #1).
A second printing of 1 was issued upon completion of 5, with minor corrections to reflect the new findings gathered at Pentagon.
From the sequential reference point, 1 is the cornerstone (foundation stone) of the pyramid, and is therefore set directly opposite the capstone. Together these rest in balance on the fulcrum of 5. We use this lever to manipulate the Hypercube's mechanism.
As the foundation stone of the cube, 1 is the first component of the Quaternary complex of corner positions: (1, 3, 6, 8).
Quaternary #1 (Corners) 1+3+6+8=18=1+8 = 9
There are two fundamental Quaternary complexes built into the cube. They can be formed by gathering all four corners (as above) or by gathering all the outlying middle compartments or hubs (2, 4, 5, 7)
Quaternary #2 (Hubs) 2+4+5+7=18=1+8 = 9
We hope to reach a full understanding of these Quaternary complexes when compartments 7 and 8 have been completely explored.
Mldthr is the first component of the powerful Ternary complex 2, 5, and 7. The first document consisted of 9 sub-compartments: 7 primary spaces with 2 enclosed chambers for entrance and exit. This structure was dictated by our incomplete understanding of the Hypercube at that time, which seemed to suggest that the second compartment held either 7 or 9 rooms. After some deliberation we decided to add the 7 and 2, resulting in the total 9.
Years later, during our work on Pentagon (5), it became clear that Mldthr's original structure amounted to a premature reach toward 9. We saw that the true root of Mldthr was the addition of 5 and 2, not 7and 2. The second document of Mldthr corrected this by omitting the chambers of entrance and exit.
While the original equation is technically correct,
2 + 7 + 9 = 18 = 1 + 8 = 9
it is merely a reflection of our arrogance in suggesting that one may access the pyramid's capstone through compartment 2. This is false. The revised structure of Mldthr
2 + 5 + 7 = 14 = 1 + 4 = 5
correctly suggests the actual, direct relationships between Mldthr, Pentagon, and Myrmidon, which form the Ternary complex 2, 5, and 7: an invaluable tool in divining the interior of the capstone.
A side effect of joining 4 and 5 is to wedge compartment 9 directly against their connecting corner. We have seen how this makes it possible to infer the contents of 9 from the contents of 4 and 5. It is also possible to infer this information from other sources.
At any spot on the Hypercube, we may look to the compartment directly opposite our position to find the necessary connecting point leading to 9.
In addition to 4 + 5, the union of 1 + 8, 2 + 7, and3 + 6 will also position each pair of joined compartments directly against a different wall of the ninth compartment, the contents of which can then be inferred from sounds, temperature, and vibrations through the wall. Combining the information gained by a study of all four walls at junctions 1 and 8, 2 and 7, 3 and 6, and 4 and 5 will produce the most complete possible picture of the capstone's interior.
Although by superimposing two reference points we have seen that compartments 5 and 9 occupy the same vertical path, the user will find it impossible to enter compartment 9 directly from compartment 5.
Stepping back now from the joining of these two compartments, we will see that a remainder of the cube has been blocked off by the maneuver required to link 5 and 4.
This now isolated compartment (9) can be expressed as the sum of the two surrounding it.
4 + 4 + 5 + 5 = 18=1+8= 9
As seen above, from within compartments 5 and 4 there is no entrance to compartment 9. But its contents may be inferred from what is present in 5 and 4, and from what can be felt and heard through the walls.
The center of the cube changes relative to the user's point of reference, and defining each new center will alter the arrangement of its surrounding compartments. This shifting locus of control is the key to a total activation of the cube.
The model displayed here represents an aerial view of the cube, with the outlying compartments set at ground level, rising as we move inward to converge at number 9.
When viewed from its base, the Hypercube takes the shape of a pyramid with the ninth compartment as its capstone.
This capstone has its mirror in Pentagon, as 5 is the sequential center of the nine phases.
(1, 2, 3, 4)5(6, 7, 8, 9)
When the two reference frames are superimposed, the sequential center (5) and the pyramid's point of convergence (9) are stacked into the same vertical axis.
9 8 7 6 1 2 3 456 7 8 9 4 3 2 1
Here we have defined a connective point between two particular dimensions of the cube, and may begin to ascend through this vertical alignment of 5 and 9.
The Hypercube is a system of nine primary compartments, each corresponding to one of the nine phases. Each compartment connects directly to certain others depending on their unique properties.
The ninth compartment is the primary (default) center of the cube. In this position, all other compartments lead to the ninth. This may be illustrated in a number of ways, such as by traveling sequentially through the entire series. We may also examine the series more thoroughly by navigating all the possible permutations of the nine, or more selectively by simply adding together the sum of each vertical column one at a time.
AIR 8 + 5 + 3 = 16 = 1 + 6 = 7
WATER 7 + 9 + 2 = 18 = 1 + 8 = 9
FIRE 6 + 4 + 1 = 11 = 1 + 1 = 2
7 + 9 + 2 = 18
1 + 8 = 9
NOTE: The same result will be achieved by adding horizontal rows and, as suggested above, more complex avenues are possible.