Moving Monocurves

The above repeat cycle is infinite!

Every 24 Fibonacci numbers repeats this same cycle and graphs according to the right-turn rule of graphing curves. The Fibonacci-24 cycle is a well known feature to Fibonacci enthusiasts. Graphing curves, however, are a new development in the science of number, first found by Jain-108 in the Fibonacci-60 and then quickly championed by this author on 37x73.com. Other pages dedicated to Fibonacci-family repeat cycles can be found here: Fibonacci-60, Lucas Numbers, Fibonacci Numbers & Fibonacci Sequence.

The Digital-Root rectangle that the Fibonacci graphing curve produces is one of the preeminent proofs of the general thesis of biblical mathematics. This I have called Ultra-Engineering, where certain important passages and special names (Divine-theonyms) display patterns consistent with an all encompassing knowledge of science and mathematics. The underlying construction of these and names and verses, like Genesis and John 1:1, were engineered accordingly and the Fibonacci-24 cycle is just such an example, as this is just one of hundreds of such examples in such places.

Typically in biblical mathematics, we find not just one pattern, but a whole host of interconnected patterns at once. So when you find a pattern as strong as the Fibonacci digital-root rectangle—a pattern that represents the entirety of one of the most famous and important number series in science—then you are likely to find more... .

The entire rectangular area, called the 'Hold' is 7 x 14 cells making for 112 cells in total, the sum of the famously mathematical name of the Lord God. This is 'famous' because Genesis 1:1 plus John 1:1 makes the 112th triangular number, one of the foundational discoveries by Peter Bluer of the discipline. These multiples of 7 are familiar as they are present in the first verse, Gen. 1:1, with its 7 x 4 letters. So if we take away the area that looks like a DOOR which is 7 x 4 cells, we find another surprise.

When it rains it pours in Bible math and usually it rains the name Jesus.

After a year or more of contemplating the Fibonacci-24 graphing curve, I realized after the LORD GOD discovery, that this was a variation on the classic monocurve seen in the 60-digit terminal cycle. Patterns seen in the Fibonacci numbers are the exact opposite of coincidence; they all occur by mathematical decree, i.e., the Logos, what the Greek philosophers called the Logos or the cosmic ordering of the universe, what we call today science. Knowing this, is the reason why this pattern kept coming back to me and almost whispering that there was something more going on. The very next day, after realizing what I had been looking at for so long, I found the confirmation pattern in the similarly important Pell Numbers, which display the same behavior in the final two digits of RTO (Return To Origin) with a minimal vector of 1 followed by a maximal vector of 9.

The Pell Numbers and their connection to the square root of 2, are the principle instruments for understanding the mathematics of 1189 chapters of the Bible. So we now know that they are both scientifically and biblically important.

The Pell Numbers display another (terminal) cycle that has a masterful pattern related to the theonym of Lord Jesus. Why this one is so worthy of note, is that it employs two different methods of calculation, the sum of the cycle and the capture of the graphing curve, which meet every 16 iterations. This is the only such pattern I have seen that does this.

There is a sense of a riddle here, as Pell Numbers are really all about the Square Root of 2. So the double (TWO) names of LORD and JESUS connecting every 2^4 cycles (2*2*2*2 = 16) in two different forms of arithmetic is just about too much, for coincidence.

The capture of this cycle (in red) is 3 x 37 a basic pattern in biblical mathematics from the old days and the sum of the first letter in the Hebrew alphabet, the Aleph. The 'Escape' sum is the equivalent of the Hebrew ordinal of Jesus (58) making this another island-stronghold of biblical mathematics.

Pell Numbers are also the DENOMINATORS of the SQUARE ROOT of (2)

Modern digital calculators make finding the square root of (2) a breeze, but there is a lot more to this fundamental pattern of pure mathematics. Real math is backwards to how most people think. The number ONE is the biggest number of all in real math, which makes the number TWO the next biggest number. So the square root of two is real heavyweight in the math world. These have massive elaborations called Convergents, where an infinite series of fractions is the long-long way of doing the math.

In this the first discovery of its kind, we can demonstrate a Fractional-Cycle in the convergents to the square root of (2). This endless cycle in these endless fractions makes a classic OMIT-ZERO RECURVE, where the graphing curve Returns To Origin (RTO) in second iteration of the terminal repeat cycle. Omit-Zero cycles were discovered by Nigel Fisher in the Fibonacci Series and show how by skipping over the zero-function many of these cycles then find a new path to RTO, as the omitting zero advances the change in vector and allows the graphing curve to realign for RTO repetition.

When we analyze the vector-map several familiar patterns emerge in the Hold and Digital Sum of recurve cycle:

The HOLD = 3 x 7 x 7 x 3

The SUM = 37 + 73 + 73 + 37

But this is only where the fun begins... .

The separation between between the HOLD, CAPTURE and ESCAPE is precisely the same separation seen in the control-text (Scrivener's 1894 Textus Receptus) for the two accounts of the Genealogy of Christ. These are exactly how the editors of the Bible delineate these accounts according to these verses. This is thee unified account of the Genealogy of Christ with 441 words, in the only version of the NT-Text that can be used by Biblical mathematics*.

As always we must remember that mathematical patterns like this in the convergence to the square-root of (2), although just recently discovered are indeed older than the universe itself.

COPY & PASTE the Greek below into any Word Document and perform a word count and see for yourself.

Scrivener's 1894 Textus Receptus

Matthew 1:1-17 + Luke 3:23-38

277 words + 164 words = 441 words

Βίβλος γενέσεως Ἰησοῦ Χριστοῦ υἱοῦ Δαβὶδ υἱοῦ Ἀβραάμ Ἀβραὰμ ἐγέννησε τὸν Ἰσαάκ· Ἰσαὰκ δὲ ἐγέννησε τὸν Ἰακώβ· Ἰακὼβ δὲ ἐγέννησε τὸν Ἰούδαν καὶ τοὺς ἀδελφοὺς αὐτοῦ· Ἰούδας δὲ ἐγέννησε τὸν Φάρες καὶ τὸν Ζάρα ἐκ τῆς Θαμάρ Φάρες δὲ ἐγέννησε τὸν Ἐσρώμ Ἐσρὼμ δὲ ἐγέννησε τὸν Ἀράμ Ἀρὰμ δὲ ἐγέννησε τὸν Ἀμιναδάβ Ἀμιναδὰβ δὲ ἐγέννησε τὸν Ναασσών Ναασσὼν δὲ ἐγέννησε τὸν Σαλμών Σαλμὼν δὲ ἐγέννησε τὸν Βοὸζ ἐκ τῆς Ρ̓αχάβ Βοὸζ δὲ ἐγέννησε τὸν Ὠβὴδ ἐκ τῆς Ρ̓ούθ Ὠβὴδ δὲ ἐγέννησε τὸν Ἰεσσαί Ἰεσσαὶ δὲ ἐγέννησε τὸν Δαβὶδ τὸν βασιλέα Δαβὶδ δὲ ὁ βασιλεὺς ἐγέννησε τὸν Σολομῶντα ἐκ τῆς τοῦ Οὐρίου Σολομὼν δὲ ἐγέννησε τὸν Ρ̓οβοάμ Ρ̓οβοὰμ δὲ ἐγέννησε τὸν Ἀβιά Ἀβιὰ δὲ ἐγέννησε τὸν Ἀσά Ἀσὰ δὲ ἐγέννησε τὸν Ἰωσαφάτ Ἰωσαφὰτ δὲ ἐγέννησε τὸν Ἰωράμ Ἰωρὰμ δὲ ἐγέννησε τὸν Ὀζίαν Ὀζίας δὲ ἐγέννησε τὸν Ἰωαθάμ Ἰωαθὰμ δὲ ἐγέννησε τὸν Ἀχάζ Ἀχὰζ δὲ ἐγέννησε τὸν Ἐζεκίαν Ἐζεκίας δὲ ἐγέννησε τὸν Μανασσῆ Μανασσῆς δὲ ἐγέννησε τὸν Ἀμών Ἀμὼν δὲ ἐγέννησε τὸν Ἰωσίαν Ἰωσίας δὲ ἐγέννησε τὸν Ἰεχονίαν καὶ τοὺς ἀδελφοὺς αὐτοῦ ἐπὶ τῆς μετοικεσίας Βαβυλῶνος Μετὰ δὲ τὴν μετοικεσίαν Βαβυλῶνος Ἰεχονίας ἐγέννησε τὸν Σαλαθιήλ Σαλαθιὴλ δὲ ἐγέννησε τὸν Ζοροβαβέλ Ζοροβαβὲλ δὲ ἐγέννησε τὸν Ἀβιούδ Ἀβιοὺδ δὲ ἐγέννησε τὸν Ἐλιακείμ Ἐλιακεὶμ δὲ ἐγέννησε τὸν Ἀζώρ Ἀζὼρ δὲ ἐγέννησε τὸν Σαδώκ Σαδὼκ δὲ ἐγέννησε τὸν Ἀχείμ Ἀχεὶμ δὲ ἐγέννησε τὸν Ἐλιούδ Ἐλιοὺδ δὲ ἐγέννησε τὸν Ἐλεάζαρ Ἐλεάζαρ δὲ ἐγέννησε τὸν Ματθάν Ματθὰν δὲ ἐγέννησε τὸν Ἰακώβ Ἰακὼβ δὲ ἐγέννησε τὸν Ἰωσὴφ τὸν ἄνδρα Μαρίας ἐξ ἧς ἐγεννήθη Ἰησοῦς ὁ λεγόμενος Χριστός Πᾶσαι οὖν αἱ γενεαὶ ἀπὸ Ἀβραὰμ ἕως Δαβὶδ γενεαὶ δεκατέσσαρες· καὶ ἀπὸ Δαβὶδ ἕως τῆς μετοικεσίας Βαβυλῶνος γενεαὶ δεκατέσσαρες καὶ ἀπὸ τῆς μετοικεσίας Βαβυλῶνος ἕως τοῦ Χριστοῦ γενεαὶ δεκατέσσαρες καὶ αὐτὸς ἦν ὁ Ἰησοῦς ὡσεὶ ἐτῶν τριάκοντα ἀρχόμενος ὢν ὡς ἐνομίζετο υἱός Ἰωσήφ τοῦ Ἠλὶ τοῦ Ματθατ τοῦ Λευΐ τοῦ Μελχί τοῦ Ἰαννά τοῦ Ἰωσήφ τοῦ Ματταθίου τοῦ Ἀμώς τοῦ Ναούμ τοῦ Ἐσλί τοῦ Ναγγαί τοῦ Μαάθ τοῦ Ματταθίου τοῦ Σεμεῒ τοῦ Ἰωσήφ τοῦ Ἰούδα τοῦ Ἰωαννᾶ τοῦ Ῥησά τοῦ Ζοροβάβελ τοῦ Σαλαθιήλ τοῦ Νηρί τοῦ Μελχί τοῦ Ἀδδί τοῦ Κωσάμ τοῦ Ἐλμωδάμ τοῦ Ἤρ τοῦ Ἰωσή τοῦ Ἐλιέζερ τοῦ Ἰωρείμ τοῦ Ματθάτ τοῦ Λευΐ τοῦ Σιμεών τοῦ Ἰούδα τοῦ Ἰωσήφ τοῦ Ἰωνάν τοῦ Ἐλιακείμ τοῦ Μελεᾶ τοῦ Μενάμ τοῦ Ματταθά τοῦ Ναθάν τοῦ Δαβίδ τοῦ Ἰεσσαί τοῦ Ὠβήδ τοῦ Βοόζ τοῦ Σαλμών τοῦ Ναασσών τοῦ Ἀμιναδάβ τοῦ Ἀράμ τοῦ Ἑσρώμ τοῦ Φαρές τοῦ Ἰούδα τοῦ Ἰακώβ τοῦ Ἰσαάκ τοῦ Ἀβραάμ τοῦ Θάρα τοῦ Ναχώρ τοῦ Σαρούχ τοῦ Ῥαγαῦ τοῦ Φαλέκ τοῦ Ἑβέρ τοῦ Σαλά τοῦ Καϊνάν τοῦ Ἀρφαξάδ τοῦ Σήμ τοῦ Νῶε τοῦ Λάμεχ τοῦ Μαθουσάλα τοῦ Ἐνώχ τοῦ Ἰαρέδ τοῦ Μαλελεήλ τοῦ Καϊνάν τοῦ Ἐνώς τοῦ Σήθ τοῦ Ἀδάμ τοῦ Θεοῦ

*Scrivener's 1894 Textus Receptus is the Control-Text due to the fact that there is no other single Greek NT-Manuscript that has the prominence, provenance and historicity of the 1894 Textus Receptus. The Textus Receptus is the only 'pure-breed' Greek-NT, come from the work of Erasmus, prior to the Reformation. All other Greek-NT are mixed translations such as the NT-27, which is a voting-text which picks the best out of three manuscript options; clearly not suitable for a control-text.

EVERY-37 & EVERY-73

Another new and exciting monocurve is actually a new type of repeat cycle called a meta-cycle. Meta-cycles are repeat cycles that run between the numbers. So every 19th Fibonacci number will have a 'meta-cycle' that replicates the typical 60-digit terminal Fibonacci ONLY NOW in perfect reverse!

There are many (we don't know how many) such meta-cycles.

Since every 19th Fibonacci will always be a multiple of the prime number 37, we ought to search for our hidden prime 73. We don't need to look far. Every 37th Fibonacci number is always a multiple of the prime 73! This is also a meta-cycle.

What happens when we merge them?