In our previous article about the derivation of the Hebrew Alphabet we showed how the *Alef-bet*, like the mathematical constant Phi(*φ*), is based on the Principle of One. It is all about frequency and vibration and what that means for us as it filters into our dimensional plane, especially through the Hebrew *Alef-bet*, the cosmic interface to the language of the upper dimensions.

There is a Path of One within the Torah and Creation, so named because it is solely based on **13** and **13** is the numerical value of *Echad *(**אחד**), meaning One, as in “G-d is One,” and because all the frequencies of the *Alef-bet* are derived from **1.313** and its intersection with the field of Phi(*φ*). The Path’s derivations are strictly numeric and geometric, yet they all integrate with the specific Names of G-d within the Torah, and what those Names connect with beyond the confines of physicality.

Physicality is built on geometry. That is the nature of 3-dimensional structure. That is how we understand our world and our being, our existence. The three main geometric shapes filtered through the Torah into our realm are the sphere and circle; the cube, including an assortment of hypercubes; and the triangle. While the symmetries of the sphere and the cube are mostly radial in nature, that of the triangle is more vertical and power driven. The triangle begins as a point and expands and builds as it grows deeper and richer.

The Names of the Creator and the basic concepts of the cosmos or greater universe are schematically conveyed to us, or made transformative to us, through these simple but hidden geometries.

The concept behind Triangular Numbers is that nothing is ever lost and that everything that ever existed prior is still there whether we see it or not. For example, everything that got us to this moment is our lives is still present in this very moment and our present actions are the results of everything that happened unto this moment. This concept is so important for the Torah to convey to us and in the operation of the greater universe that the value of the Torah’s first verse, **2701**, is the sum of the first **73** positive integers, the **73**^{rd} Triangular Number; the sum of the last **2** words of that **7**-word verse is the sum of the first **37** integers, **703**, the **37**^{th} Triangular Number; while the sum of the first **5** words is **1998** or **3** times the **36**^{th} Triangular Number; and the first **8 **words or first **33** letters is **3003**, the **77**^{th} Triangular Number, like the **77** times the Name *Adonai* (**אדני**) appears in the Torah. Moreover, the value for that first verse, **2701**, equals (**37** x **73**), and represents the value and the ordinal or inner value of the word, *Chochma*, meaning Wisdom, the 2^{nd} highest *sefira* or dimension.

The Path of One, naturally begins with One (**1**) and grows in a series of numeric triangles that build upon each other and that each have **13** levels.

That Path of One is (**1** – **13** – **91** – **455** – **1820**). Its first special property is its connection to the Cosmic Singularity of **42**, one of the deepest concepts in cosmology and metaphysics that we have literally written books about and that we will explore profoundly later in this series. For now, please just know that **42** was a pure concept long before it was a number, which is why it plays such a prominent role in the Torah and why the Israelites had to make **42** journeys to cross the wilderness to enter the promised land.

Like the **5** Books of Moses, the Path of One has **5** components that sum to (**1** + **13 **+ **91** + **455** + **1820**) = **2380**. This simple equation expresses the expansive aspect of the two archetype forces/fields of Jacob (**182**) and of Rachel (**238**), whereby, like the love between the Biblical couple (**182** + **238**) that equals **420**, the Path of One (**1820** + **2380**) = **4200** as well. And while this itself represents the Cosmic Singularity **42**, the inverse of the equation or **1**/**2380** = **42 **cements it.

Like the *Alef-bet* that is based on **1.313**^{x} and the Torah that was gifted to Man in **1313** BCE at Mt Sinai (**130**), the Path of One is also the Path of Love, *Ahava* (**אהבה**) and Oneness, *Echad *(**אחד**) both of numerical value **13**.

It starts with One. Then if we sum up the first **13** integers (1 +2 + 3…**13**), we get the **13**^{th} Triangular Number **91**.

1 | 1 | 1 | 1 |

2 | 3 | 4 | 5 |

3 | 6 | 10 | 15 |

4 | 10 | 20 | 35 |

5 | 15 | 35 | 70 |

6 | 21 | 56 | 126 |

7 | 28 | 84 | 210 |

8 | 36 | 120 | 330 |

9 | 45 | 165 | 495 |

10 | 55 | 220 | 715 |

11 | 66 | 286 | 1001 |

12 | 78 | 364 | 1365 |

13 |
91 |
455 |
1820 |

91 |
455 |
1820 |
6188 |

If we then sum up the cumulative values of those **13** integers, in other words, the first **13 **Triangular Numbers we get **455**, the 3^{rd} value in the Path of One.

Next, when we sum up the cumulative values of those **13 **Triangular Numbers to get **1820**, the **4 ^{t}**

^{h}and final value in the Path of One, we reach the value directly corresponding to the

**1820**

*YHVH*(

**יהוה**) in the Torah.

As explained in our last article about the origin of the Hebrew *Alef-bet*, the derivation of the **22** Hebrew letters came from the One (**1**) and from the **22** iterations that it takes to descend **1** order of magnitude by **10**% each time. In other words, from 1000 to 100 or 100 to 10 or 10 to **1**, multiplying by **90**% or 0.**90** each time.

We know that this was not a lucky guess by a primitive people because the nominative counting system, namely those assigned **22** bundles or values, like the **90**% ratios, are also distributed in sets of **9**, forming groups of ascending orders of magnitude 1 – 10, 10 – 100 and 100 – 1000.

10 | |

1 |
9 |

2 |
8.1 |

3 |
7.29 |

4 |
6.561 |

5 |
5.9049 |

6 |
5.31441 |

7 |
4.782969 |

8 |
4.3046721 |

9 |
3.87420489 |

10 |
3.486784401 |

11 |
3.138105961 |

12 |
2.824295365 |

13 |
2.541865828 |

14 |
2.287679245 |

15 |
2.058911321 |

16 |
1.853020189 |

17 |
1.66771817 |

18 |
1.500946353 |

19 |
1.350851718 |

20 |
1.215766546 |

21 |
1.094189891 |

22 |
0.984770902 |

91.13706188 |

As we can see, the sum of those **22** iterations based on **10**, which is ostensibly **1** because the same thing happens if we start at **1**, is **91.13706188**. Astoundingly, this sum aligns incredibly well with the Path of One in that the sum of the **13** integers is **91**; the 1^{st} order of **13** is (**1** x **13**) = **13**; and the sum of the cumulative values of those **13 **cumulative values of the **13** Triangular Numbers that equal **1820 **is **6188**, as in 91.1370**6188**.

What is even more astonishing though is that the sum of the **22** iterations based on One, **91.13706188**, is **91.0** plus the Fine Structure Constant, 1/**137.06188**, off from what that number is believed to be by a mere .01889%. This is incredibly close, considering it is usually abbreviated by scientists as 1/**137** and considered to be one of the most important constants in the universe, and one that *all* our physics seems to hinge on.

Interestingly, the Fine Structure Constant is always defined as dimension **1**. The Fine Structure Constant plays innumerable roles in physics and is most known as the “coupling constant” or the measure of the strength of the electromagnetic force that governs how electrically charged elementary particles (i.e., electron, muon) and light (photons) interact. It is equally important as a field for those forward thinkers who envision the universe as pools of pressure modalities and mediations that present as energy in lieu of particles.

In the sum 91.1370**618**8 we can possibly see **1**/Phi(*φ*) or **.618** again, while we must keep in mind that the number from the Path of One, **1820,** has **22** factors, not including itself and **1**, which circles us back to the **22** letters and **22** iterations that gave us **91.13706188**.

While the Creator of the *Alef-bet* and the Torah made sure that the **22** letters, our interface to the Torah, would synch flawlessly and align harmonically with all the same inherent constants or modality fields that the physical universe is constructed with, and upon which all existence is predicated, such as Phi(*φ*), Pi (π), and the Fine Structure Constant, He also aligned the Path of One and its few elements with the Names of G-d found in the Torah.

### The Path of the Names

We have already spoken about the **1820** Names *YHVH* (**יהוה**), each of numerical value **26**, in the Torah and shown the relationships between **2380** and **1820** to 1/**42** and **4200**, so it cannot be coincidental that the **42**^{nd} set of the **91** sets of doubled words in the Torah is (**יהוה**) (**יהוה**), as in the **2626** value of the set of **11** Odd Names of the **22** Names of the **22** Letters that are directly related to Phi(*φ*) in 5 different ways. Or that the **420**^{th} Name *YHVH* (**יהוה**) in the Torah begins the **13** verses of the **10** Commandments at Mt Sinai, whose numerical value is **130**. Or that the Name *Yehuda* (**יהודה**), which contains the *YHVH* (**יהוה**) in order and is one of the **12** Tribes and the progenitor of King David, is found **42** times in the Torah.

The value **91** itself, the **13**^{th} Triangular Number, represents the unification of the *YHVH* (**יהוה**), **26**, and its pronounceable counterpart *Adonai* (**אדני**), **65**, of which there are exactly **91** occurrences in the Torah, like the **91** paragraphs in the Torah’s first Book. Their simple gematria equation is (**26 **+** 65**) =** 91**, which is also the numerical value of *Amen* (**אמן**). Said after a blessing to complete and empower it, the word *Amen* (**אמן**) itself is found only **15** times in the Torah. The first time we encountered the word *Amen* is as one of those **91** doubled words (**אמן**) (**אמן**) in portion *Naso* **5**:**22**, giving the two of them a value of **182**. The next **11** times it is found at the end of **11** consecutive verses in portion *Ki Tavo* **27**:**15-26**, which aligns with the **1526 **exact number of pure *YHVH* (**יהוה**) that have no prefixes, out of the **1820** total in the Torah. The final time the word *Amen* (**אמן**) occurs is in the prophetic song *Hazeinu ***32:20** where the verse ends *Amen* *Bam*(**אמן־בם**) or “*Amen* **42**.”

As for the cumulative value of the first **13 **Triangular Numbers, or **455**, it is the value of the **3** Aspects, or spelled-out Names of the letters, of the Name *Ehyeh* (**אהיה**), the highest Name of the Creator used in the Torah.

**אלף־הי־יוד־הי**

**אלף־הה־יוד־הה**

**אלף־הא־יוד־הא**

As the adage goes, less is more and the Name *Ehyeh* (**אהיה**), is found only **7** times in the Torah, leading to the equation **1820**/**7** = **260**, as in the value of the *YHVH* (**יהוה**) times **10**. Equations are the universe’s way of illustrating the relationships between its components and it concepts. They often illuminate the intersection of the cosmic networks that we would otherwise miss.

Combined, the total gematria value of** 1820** *YHVH* (**יהוה**), which is (**1820** x **26**) and the **7 ***Ehyeh* (**אהיה**) or (**7** x **21**) when divided by the Phi (*φ*) angle (**137.5**^{o}) is ((**1820** x **26**) + (**7** x **21**))/**137.5** = **345.214**, represents the Spirit/Soul, *Ruach* (**רוח**) of numerical value **214,** of Moses (**משה**), of numerical value **345** that runs through the Torah.

The **4** Names, *Ehyeh* (**אהיה**), *YHVH* (**יהוה**), *Elohim* (**אלהים**), and *Adonai* (**אדני**) are found **7**, **1820**, **313**, and **91** times in the Torah respectively, leading to the equation of the **4** Names: (**7** x **21**) + (**1820** x **26**) + (**313** x **86**) + (**91** x **65**) = **80**,**300**. At first this result seems promising yet devoid of meaning to us. That is until we realize that there are **304,805** letters in the Torah and of those **304**,**805** letters, **4805** of them are the letter *Pe* (**פ**) of numerical value **80**, leaving exactly **300,000** other letters, thus we see the intersection of the **80,300**-valuation of the set of **4** Names and the **80** plus **300**,000 letters of the Torah.

Moreover, those **1820** *YHVH* (**יהוה**) are constructed out of the exact **90**,**100** letters *Yuds*(**י**), *Heis *(**ה**), and *Vavs* (**ו**) in the Torah, as in **90100**, the **424**^{th} Triangular Number. The number and concept of **424** is unique and special because it is the numerical value of *Moshiach Ben David*, known as the Messiah in English. Let us think about that for a moment: about one-third of all the letters in the Torah form a triangle or alpha-numeric pyramid of exactly **424** levels, all constructed out of variations of the Name of G-d *YHVH* (**יהוה**).

There are **3 **phases of Names of the Creator in the Torah. In the first phase there are **35** Names *Elohim* (**אלהים**), **32** of which are in the Torah’s first Chapter about the first **6** Days of Creation. Then in Genesis verse 2:4, the Name *Elohim* (**אלהים**) get replaced by *YHVH-Elohim* (**אלהים****–****יהוה**). That continues for a total of **20** times in the next **2** chapters until it switches for a final time to *YHVH* (**יהוה**). It is Eve (*Chava*) who is the first person to utter the Name *YHVH* (**יהוה**) in Genesis 4:1. While those **35** times align with the **35** times that the word *Bam* (**בם**), the signature initials of **42**, is used, they sum with the next phase of **20** *YHVH-Elohim* (**אלהים****–****יהוה**) to equal (**35** + **20**) = **55** times that the Names *Elohim* (**אלהים**) and *YHVH-Elohim* (**אלהים****–****יהוה**) are utilized in the first **2** phases, leaving exactly (**1820** – **20**) = **1800** times that the Name *YHVH* (**יהוה**) is utilized in the **3**^{rd} phase.

The square root of **1800** is **42.426**…, as in the numerical values of *Moshiach Ben David* (**424**) and the **26**-value of the *YHVH* (**יהוה**) constructed out of the precise **90**,**100** letters *Yuds *(**י**), *Heis *(**ה**), and *Vavs* (**ו**) in the Torah.

That split into **55** and **1800** is far from arbitrary. We will not go into right now the esoteric properties of, or the importance of **55** being the entrance to the Holy Names in the Bible, other than to say that it relates to the **10** *sefirot* (dimensions) of the Tree-of-Life, and the **2** letters *Hei* (**הה**) in the *YHVH* (**יהוה**). We have covered that extensively in previous articles/books and will do so again in due time.

The **4** letters in the *YHVH* (**יהוה**) are found as a set in any order within any word in the Torah exactly the **2115** times and (**2115** x **26**) = (**55,000** – **10**). The number and concept of **55** is entwined with the concept of **10** and integrated into its geometry. As we can see, the sum of the first **10** integers (1 + 2 + 3…**10**) equals **55**, and they form a **4**-tier Triangle, the **4**^{th} Triangular Number, as 1 + (2 + 3) + (4 + 5 + 6) + (7 +8 + 9 + 10) = **55**.

That **55** total value of the pyramid of **10**, subdivides into a sub-triangle or pyramid of (2 + 4 + 5 + 7 + 8 + 9) = **35** and the remaining right-side edge that is composed of the 1^{st}, 2^{nd}, 3^{rd}, and 4^{th} Triangular Numbers (**1** – **3** – **6** – **10**) that sum to **20**. We can now understand how the scaffold of the Names of the Creator in the Torah align perfectly with the geometry of the Triangular Numbers, including that the **4** tiers and **4 ^{t}**

^{h}Triangular Number correspond to the

**4**Letters in the Name

*YHVH*(

**יהוה**).

The **2** complementary sections of the pyramid of **10** that correspond to the first **2** phases of the Names of the Creator in the Torah act as a capstone or pyramidion to the rest of the Names in the Torah. It is also a **4**-tier capstone to the other **420** tiers of the **90**,**100** *Yuds*(**י**), *Heis*(**ה**), and *Vavs* (**ו**) in the Torah. We now have a better understanding why the **10 **Commandments begin with the **420**^{th} *YHVH* (**יהוה**).

Moreover, the flip side triangle (**3** – 5 – 6 – 8 – 9 – 10) has a total value of **41**, as in the ordinal value of each of those **35** *Elohim* (**אלהים**), starting with the Torah’s **3**^{rd} word. If we sum up all **10 **sub-Triangles in this **4**^{th} Triangular Number we get (55 + 35 + 41…6) plus **4 **for the **4** tiers of the **4**^{th} Triangular Number equals **253**, which is the **22**^{nd} Triangular Number, as in the **22** letters of the *Alef-bet*.

It is also as in the **22** iterations that descend from **100**, by increments of **90**%, as in **90,100**. Every Number and letter in the Torah serve in multiple equations and networks at once.

As we get deeper into the geometries of the Torah and the cosmos with which it aligns, other properties other than their vertices become more significant likes their edges and faces. In the case of this Triangle of **10**, there are **18** edges and like **1800**, the square root of **18** is **4.2426**…

When the Name *YHVH* (**יהוה**) replaces the **10** positions in the **4**^{th} Triangular Number, the **10 **regressively expanded Letters* Y-YH-YHV-YHVH* (**י־יה־יהו־יהוה**) sum to **72**, which is an entirely other long topic of discussion for another day. Nonetheless, the also correspond to the **10** letters in the **4** Names of the Letters *YHVH* (**יהוה**) or *YVD-HY-VYV-HY* (**יוד־הי־ויו־הי**) that also sum to **72.**

Meanwhile, the **9** facets or small triangles (1 – 2 – 3, 2 – 4 – 5…) in the numerical version equal **144**, which is twice** 72**, but is also the** 12 ^{th} **Fibonacci Number, which is curious because

**55**is the

**10**Fibonacci Number. Since we have acknowledged that

^{th}**55**is associated with the first

**2**phases and the first

**55**Names of the Creator in the Bible, we should also note that there are exactly

**144**

*YHVH*(

**יהוה**) without prefixes in the Book of Genesis.

The *YHVH* (**יהוה**) equivalent for the **9** facets is **181**, the **42**^{nd} Prime Number, and the sum of the first **42** digits in the set of all Prime Numbers.

Everything always derives from the Source, whether through **1** or **42**. In this case, we can see that the value of the **10** positions or vertices, **72**, plus the sum for the **9** facets is (**72** + **181**) = **253**, the **22**^{nd} Triangular Number, the sum of the **22** ordinal values of the **22** letters of the *Alef-bet*.

Like the Cosmos on which it reflects, everything in the Torah is networked together and fractally faceted so that no matter what aspect we latch onto we can always access the whole.

**The Taxicab Number**

Mathematicians will recognize the number **1729** as the Taxicab Number; nevertheless, there are **1729** words/Names in the Torah with the value **26**, which is (**1820** – **91**). It is all about connecting to the One, and love, which is why the numerical value of the famous phrase from Leviticus 19:18 that is said to be at the heart of the Torah, “but thou shalt love thy neighbor as thyself (**וְאָהַבְתָּ לְרֵעֲךָ כָּמוֹךָ**)” has the gematria **820**, leaving **1000** as *Alef* (One).

The entire anti-religious, anti-Creator narrative that has been built up in man’s belief system is that our religions are based on a mere collection of myths and stories borrowed from Babylonia and other pagan faiths and falsely believed to have been written by a Divine being. Yet the Truth is that not a single letter or number in the Torah is out of place, is without deep powerful meaning and significance, nor has even been changed. Yes, the descendants of those pagan faiths have slipped in other versions over time and have tried to trick us into believing that translations into Greek or Aramean are more accurate, and even tried to convince us that the interpretations are more important than the text, but the Creator has made sure that the Torah survived intact, unadulterated for the last **3330** years. This is why ever since the Torah was gifted to us back on Mt Sinai, the **420**^{th} *YHVH *(**יהוה**) has marked the start of the **10** Commandments, and that this is also at the **363**^{rd} *YHVH* (**יהוה**) without a prefix, as in the numerical value of *H’Moshiach*, “The Messiah.”

We must ask ourselves why the Creator would scaffold the entire perfect system of the Torah on the Names of G-d and the entire nearly 80,000-word narrative based on that One G-d if He was not that One G-d and if He did not want to show us how to get closer to Him metaphysically. The numbers are a language, one that existed cosmically before Hebrew, man’s first conscious language; their job is to communicate. The equations are the grammar of that language and show us relationships, and the pathways we can follow to navigate that cosmos and get closer to the Creator. The various levels of Torah understanding help us to navigate physicality with consciousness; the deepest levels help us to breach that consciousness and transcend the trappings of physicality.

**The Two Census**

Everyone familiar with the Torah and Old Testament knows that Moses took two censuses of the men of the Tribes of the Israelites in the desert **40** years apart. And after **40** years the net difference between the **12** Tribes was exactly (603550 – 601730) = **1820** men, which matches perfectly 1 for 1 with the **1820** YHVH (**יהוה**) in the Torah and in the Path of One.

What most scholars miss it that those **12** Tribes can be divided into two groups of **6**, the **6** Tribes with zero net change and the **6** Tribes whose total net change was **1820**. What proves that this was of definitive purposeful design is that the gematria value of the Names of the **6** Tribes whose total change was **1820** is also **1820**.

**Group #1**

Name |
Name |
Gematria |
1st census |
2nd census |
Difference |

Reuven | רְאוּבֵן |
259 | 46,500 | 43,730 | (2,770) |

Gad | גָּד |
7 | 45,650 | 40,500 | (5,150) |

Efraim | אֶפְרָיִם |
331 | 40,500 | 32,500 | (8,000) |

Binyamin | בִּנְיָמִן |
152 | 35,400 | 45,600 | 10,200 |

Asher | אָשֵׁר |
501 | 41,500 | 53,400 | 11,900 |

Naftali |
נַפְתָּלִי |
570 |
53,400 |
45,400 |
(8,000) |

1820 |
262,950 | 261,130 | (1,820) |

**Group #2**

Name |
Name |
Gematria |
1st census |
2nd census |
Difference |

Shimon | שִׁמְעוֹן |
466 | 59,300 | 22,200 | (37,100) |

Yehuda | יְהוּדָה |
30 | 74,600 | 76,500 | 1,900 |

Dan | דָּן |
54 | 62,700 | 64,400 | 1,700 |

Yisachar | יִשָּׂשכָר |
830 | 54,400 | 64,300 | 9,900 |

Zebulun | זְבֻלוּן |
95 | 57,400 | 60,500 | 3,100 |

Manasseh |
מְנַשֶּׁה |
395 |
32,200 |
52,700 |
20,500 |

1870 |
340,600 | 340,600 | – |

Moreover, in the second group of **6** Tribes, the ones with zero net differential, the sum of the gematria of their **6** Names equals **1870**, and not only is **1870** equal to (**10** x** 187**), as in the **187** chapters in the Torah, but when we square the circle of **1870**, in other words when we apply the Cosmic Harmonic (**1.273**) to it, we get (**1870** x **1.273**) = **2380** = 1/**42**, right back to the Path of One and the Singularity of **42**.

The Cosmic Harmonic is the ratio of the area of a circle inscribed in a square to that square, and thus given the formula *A* = πr^{2}, the ratio is based on the constant Pi (π) and is inherent in the design of our universe, which we will dive into in an upcoming article. It is also designed into the Torah in manifold ways starting with its **5** quantitative elements—words, verses, letters, rows, and columns—that equal **401**,**273** or precisely **248,000**(*φ*).

There are a few basic themes built into every aspect of the Torah and redundantly woven throughout its technology so we would not miss them, so we could not mistake them, and so they could focus us on the right paths. In subsequent articles we will explore these in greater and greater depth. It is well known that the Torah is written on 70 levels of Understanding. We will be exploring the deepest of those levels: the ones that explain the nature of our physicality and processes of the cosmos from which it is reflected.

Ezra