TO[
]4
~ 829.441.5
]4
~ 829.441.5
The integral product1 of the entire verse of Is. 6:3 =
1.43825902216662E61 = .576902204874873-256, the inverse of the ratio at infinity of the total arithmetic value of the
edge-sharing triangles of 1's to the total arithmetic value of the expanding triangle of
trinary logic digits created by the iterative sequential summing of 1, 0, 
, 1, 0,
, 1, 0,
, . . ., i.e., inverse
(exact to the fourth place) raised to the power equal to
the square of the ratio of larger to smaller neighboring such edge-sharing triangles.2 Indeed, where (Is. 6:3)i−1/64 is the inverse 64th root of the integral product of Is. 6:3, (
+ 
)4/[Is. 6:3]i−1/64
829.441.5, exact to the fifth place. The integral product of the part of Is. 6:3, קדושׁ קדושׁ קדושׁ יהוה צבאות ('Holy Holy Holy, Yahweh God of
Hosts'), is 2.176782336E29 (= 4.6656E142), while that of קדושׁ קדושׁ קדושׁ ('Holy Holy Holy'), taken by itself, is 4.6656E16, and that of יהוה צבאות ('Yahweh God of Hosts'), taken by itself,
is 4.6656E12.3 The rational product of קדושׁ קדושׁ קדושׁ ('Holy Holy Holy') is .125. This is consistent with Augustine's point (De
Trinitate VII-VIII) that the distinction of Persons in the Trinity is one of relation,4 while each Person is identically the One God. Mathematically expressed,
the rational product, .5, the 'identity', of each
קדושׁ (= rational product of
אחד ['one' (Dt. 6:4)]), is in each case the identical cube
root of the relation identity, .125.
The ratio of the integral product of קדושׁ קדושׁ קדושׁ יהוה צבאות
(['Holy Holy Holy, Yahweh God of Hosts'] = 2.176782336E29) to that of the entire
verse of Is. 6:3 (= 1.43825902216662E61 = .576902204874873-256), when raised to the power which is the cube of .125,
(2.1767879336E29/1.43825902216662E61).125 × .125 × .125 = .866665521367842
(π-.125), the ratio at infinity of the total
arithmetic value of the infinitely expanding triangle, produced by the infinitely
iterative summing of the trinary logic geometric series, to the total number of logical
digits therein.5 Further, the absolute difference between
π-.125 and (2.1767879336E29/1.43825902216662E61).125 × .125 × .125, is, with a difference less
than 1 in 1 billion, the inverse tenth part of the volume of the "dead center"
cube, (103681.5/10)−1.6
Notes
1 Cf. D.G. Leahy, Foundation: Matter the Body Itself (Albany,
1996), p. 357, n. 13, et passim. For 'integral product', see, on this web,
Transdecimal Calculation of
Number Identity: A Note on Integral Product and Related Terms.
2 Cf., on this web,
Real Trinary Logic Geometric
Series Infinite Iterative Sequential Summing.
3 For 'rational product', see, above, n. 1. Cf. also Leahy, Foundation,
pp. 415ff., the integral product of יום א׳
של שלושׁ ('Day One of the Trinity', integral product, 4.6656E16
or 4.6656E22) and the cube of the integral product of
הקדוש ברוך רוא ('the Holy One, Blessed be He', integral product,
1.296E11), where, in the simplest form, 4.6656E162 = 1.296E113 =
2.176782336E33 = the integral product of כל־גיא
ינשׂא וכל־הר וגבעה ישׁפלו ('Every valley shall be lifted up, and every mountain
and hill shall be made low' [Is 40:4], integral product, 2.176782336E27) times the
integral product of הכרה ('consciousness'/'discernment', integral product, 1E6), 2.176782336E27 × 1E6 =
2.176782336E33. Note that the first factor of
this last ~ that of the Planck mass = 2.1767 × 1E-8 kg with a standard
uncertainty of 0.0016 × 1E-8. Where
φ
is the golden section, 2.1767 + 0.0016 ~
φφ
= 2.178457569.
4 Cf., on this web,
Real Trinary Logic Geometric
Series Infinite Iterative Sequential Summing, and the rational product of
יחוס ('relation', rational product, .125),
Leahy, Foundation IV.2.
5 Cf., on this web,
Real Trinary Logic Geometric
Series Infinite Iterative Sequential Summing. For the physical
manifestation of the ratios 
and
as foundational in astronomy and
astronomically related areas of archaeology, see, on this web,
Sorted
Diagonals, Addendum 9. See also, on this web, The Langerhans-Epidermal Cell Ratio
& the Structure of the Epidermis.
6 Cf. Leahy, Foundation, pp. 434ff.