## Approach to a Loagaeth Solution, Part 3

Just another note on the general structure of the tables of Liber Loagaeth which are to be completed by the magician; there are 1201 cells visible to the magician on most of the tables to be completed on most of them. It turns out that, like the 113 letters of Table 49, 1201 is a centered-square number. What are the other two integers that (by definition) go with it? 1,200 & 49. Interestingly, 1201 + 1200 = 2401, which is 49^2. “Multiplied and dignified” numbers indeed!

Additionally, 1201 is a “super-prime.” To explain this, consider the first few prime numbers: 2, 3, 5, 7, & 11 would be the 1st, 2nd, 3rd, 4th, & 5th primes. Of these, 3 (prime number 2, which itself a prime number), 5 (prime number 3, also prime), & 11 (prime number 5, also prime) would be called “super-primes.” Interestingly, 1201 is the 197th prime number, yet while 197 is the 45th prime, 1201 is the 45th super-prime; additional dignity! 1201 is also the 25th (5^2) centered-square number, and the 15th centered decagonal number. 25 +15 = 40, and to make sure we multiply and dignify further, 4 (for squares) times 10 (for decagons) is also 40, and of course 40 is highly significant biblically & in Gematria as the number of water, and is also the number of cells in the ring around the SDA. Water is indeed mentioned by Galvah when asked about the letters of Leaf 49: “Of me they are honoured, but of me, not to be uttered: Neither did I disclose them my self: For, they are the beams of my understanding, and the Fountain from whence I water.”

Now that this seems to be exhausted (but you never know if Terence Tao will happen upon your blog!), let’s look at some of the exceptions to this. Leaf 43a, the first (technically, the first half) of the last 7 leaves of the 49 total (“So the last shall be first, the first last”) shows the a 7×7 square in the upper-left corner (but in Enochian/angelic letters, these would be in the upper-right). It also has the entire first row (rather than missing half its letters). In all, this makes 1246, which is a centered tetradecagonal (4+10=14) number, the 28th (14*2).

441, which is “Truth” in Gematria and additionally the sum (heh) of the outer ring of the SDA (as we saw in the previous post), is also a centered tetradecagonal number, the 17th, and for other reasons 441 is a very cute number: the sum of the first 6 cubes (“the mystery of the divinity” as promised by Galvah). 441=21^2 (21 letters in each of the 5 triangles in Leaf 49), which means there’s a further mystery of the trinity expressed through this leaf.

It’s not exactly clear, but either Dee or the angels or both seem to have also given us help on the other half of this leaf (Leaf 43b) but this time just with the first row, which means we have 1225 letters in all, or 35^2, or 5*5*7*7. We see yet again the expression of threes and fives in addition to the ubiquitous seven.

I noticed something else at Leaves 29a & 29b; Leaf 29 is the first of the fifth seven, and because five is the number of humanity, it makes sense that this is these are the first tables to have missing information (for we begin in a state of ignorance relative to the angels). Unlike the other leaves, which only leave out every other letter, Leaf 29a also has two complete 7×7 squares and two 8×7 rectangles at the left and right & top and bottom, respectively, each with capital letters where there would otherwise be blanks in every other cell. The use of 7 and 8 in this case is suggestive of the 113, or 7*7 + 8*8, letters in leaf 49. There are also four standalone letters at the corners, for a total of 110 (product of the 1st, 3rd, & 5th prime numbers). Altogether there are 1311 letters, which is 3*19*23. Leaf 29b looks nearly identical to 29a, except it has four 7×7 squares for an additional 100 letters and 2 letters in each corner for 108 (2^2*3^3) in all, or 1309 letters. 1309 is 7*11*17, and is the first sphenic number (numbers that are products of three primes) to be followed by two more sphenic primes (1310 and 1311, the latter of which we’ve seen before, which of course is the same first/last reversal we’ve seen repeatedly, since 1309, the earlier of these, comes last, while 1311 came first).

I’ll keep plugging away at this, but I thought I’d share the thoughts as they came to me!