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
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.