 | Sabbath Light |
Triangle numbers are called by master kabalist R.Moshe Kordevero "source numbers" (Mispar Mekori), i.e. a number formed from a beginning. Notice below how the number 1 is always at the head of a triangle number.
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The examination of triangles shows us that there is a lot of information in the formation of "numbers" which are conceptual entities holding a lot of properties that are translated into words etc. and which are created by multiplying a number by its central point. So it is almost like rubbing 2 stones in a specific way, and you get a new structure which holds these amazing properties and tells such amazing stories[1].
(we find a similar phenomena in nature. For example, two hydrogen atoms combine with one oxygen atom to form H2O=water whereby all sorts of new amazing properties emerge)
2701 is such a triangle number. It is constructed by multiplying 73 with its Center Point number. Namely, 73×37 where 37 is the center point of 73 and this creates the 73rd Triangle number which contains many interesting properties such as inner 37th triangle (703) and further inner triangles of 19th and 10th. Together they represent the "wisdom series" which is a mathematical series 73,37,19,10 such that the final center point is 10 (Yud) which collapses to digital root 1, the point of creation.
There is a similar construct in Hebrew gematria, namely the "Triangle Gematria" (Pardes Rimonim). The "Triangle Gematria" of a Hebrew word is similarly obtained from a beginning. Namely, gematria of letters + all preceding letters. Thus, the "Triangle Gematria" of "Wisdom" (חכמה) is:
| Triangle Gematria of חכמה (wisdom) | ||
| אבגדהוז | ח | |
| אבגדהוזחטי | כ | |
| אבגדהוזחטיכל | מ | |
| אבגד | ה | |
| Total = 271 | ||
First and foremost, 271 is the gematria of הריון (pregnancy) as we have seen previously. It is Binah (understanding) working on Chochmah (wisdom) to get development which is what these Genesis triangles are all about.
Thus, if you want to learn how this "pregnancy" works, you will find 271 is the "Triangle Gematria" of "Chochmah-wisdom", i.e. the development of Chochmah-wisdom.
We also find 271 is the center point of Israel[2] (541) thus 271×541 forms the 541st triangle.
271 is likewise connected to 2701, as the entire cosmos is in the first verse as pregnancy exactly and Israel is to become Israel by developing from 271 to 541, i.e. by using "Chochmah-wisdom" of torah and maturing from the pregnancy, etc.[1]
Triangle of Israel (541)
The 541st Triangle number is:Triangle(541) = 1+2+3+4+...+541 = 146,611
= 541×271 (Israel×Center Point)
Observe that:
146 = 2×73 (Beit × Wisdom or "with wisdom" similar to Bereisheit=Beit-Reisheit is rendered "with wisdom").
611=Torah.
It seems the hint is that it is through studying and applying the wisdom of Torah that Israel develops and matures.
In the center of the Israel triangle is the 271th Triangle.
Two of these 271th triangles combine to form the 91st Star of David of 49,141 dots. 49 = 72.
7 is an important number related to many things and 49 relates to receiving the torah (ex.counting of the Omer=49 days before Shavuot).
141 = Mitzvah (commandment). For it is through the mitzvah that one becomes a proper vessel to receive the light of Torah.
Observe that a 232 letter skip from the central "Yud" (13th letter in Genesis 1:1) gives "Israel".
232 is the gematria of the first statement by G-d "Let there be light" (Gen.1:3). The triangle surrounding this central "Yud" has Gematria 611 = Torah (see picture above).
I ran a computer scan of all verses in the 6 day creation account (Genesis 1:1-1:31) and this is the ONLY letter skip of "Israel" inside these verses for all possible skip numbers (there is also a 7 letter "Israel" skip inside the Sabbath verses as we will see).
It seems the hint is as our sages taught. Namely, that creation was not a one time event. By speaking words of Torah, one becomes a partner with G-d in upholding the creation. The job of Israel is to draw out the hidden light in torah, to illuminate the darkness, show the truth and be united with G-d. This is done by studying and observing the Torah out of love and on this the world stands.
232 is also the gematria of the four primary expansions of the Tetragramaton (ע''ב ס''ג מ''ה ב''ן) as mentioned extensively in holy books. This is a very deep subject..
Interestingly, in the 232 letter skip of Israel, the five words that make up "Israel" (אלהים ויעש זרע הארץ על) have gematria of 1145 (mirror of 541-1). Perhaps a hint to 1="G-d" and 541=Israel.
| The numeric string 1145 first appears at the 20,913th decimal digit of Pi | |
| 07603563907639473 | 114554958322669457024 |
| ^ <-- 20,913th digit | |
Observe that the location in Pi is 20,913 = יוד-בראשית (Yud-Bereisheit[7]). Before 1145 we see "73" (wisdom) and the sum of thousands of 1145 = 146 = 2*73 (Beit*Chochmah="with wisdom"). For as before the job of Israel is to draw out the hidden light in Torah and to illuminate the world. And in Isaiah (49:6) are the famous words:
"I have set you as a light unto the nations" (ונתתיך לאור גוים)
= 1182
Observe also below that in the 232 letter skip the "Aleph" of Israel intersects the words:
"to illuminate the earth" (Gen.1:17) (להאיר על הארץ) = 642. Both share the same Aleph (א=1) of Israel. Thus the combined words have gematria:
= 642 + 541 - 1 = 1182
In gematria, there is leeway to add +1 for the "kollel" and thus adding the "kollel" here and in the verse in Isaiah 49:6 would give 1182 + 1 (kollel) = 1183.
This reminds of Bereisheit = 913 = 11 ×83 (prime factors) hinting this includes (kollel) the purpose of creation.
Observe also that the next five letters in the 232 letter skip are (והרשל = 541 Gematria. Likewise, the next four consecutive words after "Let there be light" (Gen.1:3) are וַֽיְהִי אֽוֹר וַיַּ֧רְא אֱ-לֹהִ֛ים = 541 ("and there was light. And G-d saw.."). This needs more investigation.
According to holy books, the first light of Genesis was hidden in the Torah and in the Sabbath (Zohar 21a, Bnei Yissachar, maamar shabbatot 3, birkat shabbat ot 7). This is one of the deeper meanings of the verse "And G-d blessed the seventh day and made it holy" (Genesis 2:3)[8].
Bereisheit in Pi
The opening word in the Torah is "Bereisheit" (in the beginning) and has Gematria 913| The numeric string 913 first appears at the 1,095st decimal digit of Pi | |
| 89124972177528347 | 91315155748572424541 |
| ^ <-- 1,095st digit | |
1,095 = 15×73 (Yud-Heh × Wisdom). "Yud-Heh" are the first two letters of the Tetragramaton. According to Kabala, "Yud-Heh" (=15) is a holy name which corresponds to the Sefirah (divine light) of "Wisdom" [3]. Bereisheit itself is rendered "with wisdom" (Targum Yerushalmi, Zohar). Thus the location of 913 is in line with the rendering "with wisdom".
Interestingly, the 165th triangle has 13,695 dots = 15×913 = Yud-Heh × Bereisheit. 165 is the gematria of "Nekudah" (point) as we have seen throughout this series.
Bereisheit Triangle
The 913th Triangle (1+2+3+...+913) = 417,241| The numeric string 417241 first appears at the 436,046th decimal digit of Pi | |
| 34120710517073683 | 41724123447237186724941 |
| ^ <-- 436,046th digit | |
Observe that the prime factors of 436,046 are:
436,046 = 2×13×31×541 = 26 × 31 × 541
26 is the Gematria of G-d's primary Name (Tetragramaton).
31 is the Gematria of "E-l" the Hebrew word for G-d which connotes almighty power.
541 is the Gematria of "Israel".
Thus, the location of Triangle 913 in Pi appears to be some kind of divine signature[6]:
"Almighty G-d of Israel".
The holy names "E-l" and "Havaia" appear together in scripture such as in Psalms 118:27 (Metzudot commentary: " 'E-l A-donai' - G-d who is almighty"). "E-l" is also the most merciful name of G-d and corresponds to the Sefirah of Chesed-kindness.
The message to humanity appears to be that G-d created the world for Israel, meaning for whoever undertakes the job of Israel. Namely, to learn and fulfill G-d's Torah out of love.
According to the Midrash (Genesis Rabba 1:1), 6 things were created before the world. The first of these 6 was the Torah (wisdom) and G-d used it to create everything else. Nevertheless, the Midrash says "the thought of Israel preceded everything" (Genesis Rabba 1:4), even the Torah. For the root purpose of the creation was Israel as before.
Final Word in Creation - "To Do"
We find an interesting parallel signature in the last word of the creation account. The final verses in creation speak of the first Sabbath and that G-d blessed the Sabbath (i.e. G-d blessed all future Sabbaths - Sforno. Indeed anyone who observes the Sabbath properly can testify there is a special spiritual light then).The last word in the 7 day creation account is:
לעשות (Laasot-"TO DO") = 806 = 26 × 31 (Almighty G-d).
Same factors we saw in triangle 913 location in Pi as above.
Thus, the location of Triangle 913 is also:
26×31×541 = 806 (To Do) × 541 (Israel).
For as before, G-d created the world "To Do" the job of Israel, i.e. for whoever steps forward to walk before G-d and fulfill His Torah, whether Jew through his 613 commandments or gentile through his 7 commandments.
Man was created incomplete. His job is TO DO - i.e. to do meaningful things, to rectify himself (Zohar, Bereisheit there), to become true to G-d and men, and also to help others do likewise.
Interestingly, "laasot" (לעשות) splits to "la'aasot" (ל-עשות), i.e. the prefix "lamed" on "aasot". "lamed" means "to" and "aasot" means "do". "aasot" has gematriah 776 (central point) which is also the gematria of "sheleimut" (שלמות). For man's job is to go towards "Sheleimut" (becoming whole).
There is another important meaning here. According to the Vilna Gaon, "laasot" connotes future tense, i.e. "to do" in the future. Namely, creation was not a one time thing. G-d renews the creation every day. It is a continuous process (Aderet Eliyahu, Bereisheit).
Final 3 Words
Observe both the first and last 3 words have end letters "Truth". Just that in the first 3 words "Truth" is out of order, while in the last 3 words "Truth" is in order. This hints as before that man's job in this world is to work on "Truth".| Genesis 1:1 Last Letters form "Truth" | ||||||
| בְּרֵאשִׁ֖ית | בָּרָ֣א | אֱ-לֹהִ֑ים | אֵ֥ת | הַשָּׁמַ֖יִם | וְאֵ֥ת | הָאָֽרֶץ |
| ת | א | ם | ||||
| אמת Truth | ||||||
The Gematria of the final 3 words "G-d created TO DO" (Barah Elokim Laasot) = 1095 Gematria. As before, this is the exact location in Pi of 913 = Bereisheit. It is as if we have come back full circle. The end result tied to the beginning. For as before, creation is a continuous process. It was not a one time event.
The Ordinal Gematria of "Barah Elokim Laasot" = 141 (Mitzvah=commandments). For this is what one needs to work on.
Sabbath Kidush
The NUMBER OF LETTERS in the creation account (from Bereisheit to Laasot) is:
| 1815 | = | 165 | × | 11 letters |
| The Gematria of Bereisheit = 913 | ||||
| 913 | = | 83 | × | 11 (83 is the center point of 165=Nekudah "point"). |
This hints that the creation account was a kind of expansion of the word "Bereisheit" which represents the "point" of creation.
Amazingly, the 1815 letters are split into 1650 = 165×10 letters for the six days of creation until the last words "and G-d saw all that He did and it was very good". And from the Sabbath Kidush (vayehi erev vayehi boker yom hashishi.. laasot) = 165 letters (Ashkenazim begin Friday night kidush from here).
Thus the verses of the 6 days of creation span 165 × 10 letters and the Sabbath kidush verses have 165 letters. Pure perfection!
According to holy books, the dot in the first letter Beit (of Bereisheit) corresponds to the center point (Nekudah Emtzait) of creation which is the Sabbath (see Aderet Eliyahu Gen.1.1, hosafah m'likutav with Biur Avraham ben HaGra).
More on "Laasot"
As before, the final word is "To Do", לעשות = 806 = 26×31 (Almighty G-d)| The numeric string 806 first appears at the 967th decimal digit of Pi | |
| 81857780532171226 | 80661300192787661119 |
| ^ <-- 967th digit | |
laasot (to do) what? Just before is 26 (G-d) and just after is "613", 613 commandments of G-d.
Interestingly, 26th prime × 31st prime = 12827
| 25 Digits of Pi from Position 12,827 |
| 9117767322532643356861461 |
| ^ <-- 12,827th digit of Pi |
911-776-73-2253264 (911=Reisheit, 776=center point (Nekudah Emtzait), 73=wisdom), all important creation numbers.
2253264 = 26×276×314 (26=Tetragramaton, 276=Tzimtzum, 314=Sh-adai which defines Pi)
We are gathering nice pieces here and there. It's a gigantic puzzle.
Tetragramaton, first letters
Israel, 7 letter skip
For Israel
G-d's primary Name י-הוה (The Tetragramaton) does not appear explicitly in Genesis until after the 7 days of creation were completed. Interestingly, in the Torah's account of the 7th day of creation (Sabbath), G-d's Name is encoded in first letters. Observe also that the word "Israel" is encoded in a 7 letter skip from the same place (see picture on right).(I did a computer scan and found that this 7-letter skip and the 232 letter skip mentioned earlier from Genesis 1:1 are the ONLY instances of Israel inside the verses of the 7 days of creation (Gen.1:1-2:3) for all possible skip sequences).
7 is an important number. It represents the spiritual core or "center point" in things. There are 6 directions in space around a center point. In time, the 7th day is Sabbath which is the spiritual day that gives meaning and purpose to the 6 days of the week (6 is basically like a vessel for kedushah (holiness) and becomes holy via the center point itself and Sabbath etc).
Thus, it seems the 7 letter skip hints to Israel being the spiritual purpose of creation. For as before, man was created to do the work of Israel - to walk before G-d and fulfill His torah. This is the purpose of creation. Indeed, the word "Bereisheit" is rendered "For Reisheit (Israel) [G-d created Heavens and Earth]" (Midrash Genesis Rabbah 1, Rashi)
Interestingly, 7 × 541 (Israel) = 3787
Observe that from the 3787th digit of Pi appears:
| 25 Digits of Pi from Position 3,787 | |
| 37 | 4417029132765618093773444 |
| ^ <-- 3,787th digit of Pi | |
441-702-913-276 (441=truth, 702=Sabbath, 913=Bereisheit, 276=Tzimtzum, all important creation numbers and 37=breath before). It seems a big story is being told here.
Psalms 119:89: "Forever, O G-d, Your word stands firm in the Heavens"
As before, 276 is the gematria of "Tzimtzum", the primordial process of creation (see section: "the Tzimtzum", the Tzimtzum is the definition of "something" from "nothing" which really isn't "nothing" but rather "infinite" which is "nothing defined"[1]).276 is also Herayon = pregnancy with letters.
276 = 23×12 = 1+2+3...+23 = 23rd Triangle number.
23 is the gematria of "Chaya" (living) the 4th soul level which corresponds to the Sefirah of "wisdom".
Thus, 276 = 23rd Triangle seems to hint to the vessel of wisdom in "Herayon" (pregnancy) of Binah.
According to R.Yitzchak Ginsburg:
23 and 37 are one of the most important and ubiquitous pairs of numbers in the creation. These two numbers are first and foremost the numerical values of the names of the two higher aspects of the soul, called the surrounding aspects (makifim): the singular one, יחידה = 37 and the living one, חיה = 23...37 is the Gematria of "Hevel" (breath) as we have seen. Thus, it seems 23 is the vessel for 37 (breath). Namely, the vessel of speech which are the Hebrew letters.
As we saw in section "DNA of creation" the number of unique combinations of the 7 words of Genesis 1:1 = 127. Of these, 23 have a factor of 37 and each word in Genesis 1:1 appears exactly 12 times.
23 × 12 = 276, the 23rd Triangle
Observe that the Triangle of 276
= 1+2+3...+276 = 38226
| The numeric string 38226 first appears at the 118,844th decimal digit of Pi | |
| 94443625469867952 | 3822686115969910056366 |
| ^ <-- 118,844th digit | |
Amazingly, 118844 = 2 × 2 × 11 × 37 × 73 = 2 × 22 × 2701
This hints that G-d created the world (Beit=2=Bereisheit) using the 22 letters of the Torah.
The sum of thousands of 118,844 = 118+844 = 962
962 = 26 × 37 = יהו"ה ×הבל = (26 Tetragramaton × 37 Hevel) (Breath of G-d)
962 = = לְעוֹלָם י-הוה דְּבָרְךָ נִצָּב בַּשָּׁמָיִם ("Forever, O G-d, Your word stands firm in the Heavens" - Psalms 119:89)
It seems the hint is that creation was not a one time event. It is happening continuously as written in the book Tanya (Shaar Yichud V'Emunah, ch.1):
It is written: "Forever, O G-d, Your word stands firm in the Heavens" (Tehilim 119:89)
The Baal Shem Tov, of blessed memory, has explained that "Your word" which you uttered, ex. "Let there be a firmament in the midst of the waters..." (Genesis 1:6)
These very words and letters through which the heavens were created stand firmly forever within the firmament of heaven and are forever enclothed within all the heavens to grant them life, as it is written, "And the word of our L-rd shall stand firm forever" (Isaiah 40:8).
And as it is likewise written, "And His words live and stand firm forever..." (Blessing of the Shema)
For if the letters were to depart even for an instant, G-d forbid, and return to their source, all the heavens would become naught and absolute nothingness, and it would be as though they had never existed at all, exactly as before the utterance, "Let there be a firmament".
And so it is with all created things, in all the upper and lower worlds, and even this physical earth and the realm of the completely inanimate. If the letters of the ten utterances by which the earth was created during the Six Days of Creation were to depart from it but for an instant, G-d forbid, it would revert to naught and absolute nothingness, exactly as before the Six Days of Creation...
This thought was expressed by the Arizal when he said that even within that which appears to be utterly inanimate matter, such as stones or earth or water, there is a "soul" and spiritual life-force.
Namely, [within them] are enclothed the letters of speech from the ten utterances which give life and existence to inanimate matter, enabling it to come into being out of the naught and nothingness that preceded the Six Days of Creation... - Tanya (Shaar Yichud V'Emunah ch.1) (see there for more)
Star 13 (Sabbath Star)
Star of David figurate numbers are given by the formula:Star(n) = 6×n×(n-1)+1
The first star which looks like a Star of David is the second star of 13 dots (first star is just one dot).
13 is the gematria of "echad" (one) and "love", both concepts of unity and divine will. Thus, the second Star of 13 dots is a kind of expansion of the first Star which is just "one" dot.
The 3rd and fourth stars are 37 and 73 respectively. These are the only successive star of david numbers in all of math that are center points of each other. Together they form the unique and shiny "Star of Stars" (see section "Geometric properties).
37×73=2701 the Gematria of Genesis 1:1 (Breath=37 of Wisdom=73 which is what creates and sustains the world, from G-d and also from those who study Torah).
As before, the second star of 13 dots is an expansion of "1", the first star (13 is the gematria of "Echad=one").
Expanding further, the 13th star of david has:Star(13)=6×13×(13-1)+1 = 937 dots.
This is a very special star of david. It is formed by merging two 37th triangles of 703 dots each. 703 is the gematria of Sabbath (with the kollel). This triangle is the center triangle in the "Genesis 1:1" 73rd triangle of 2701 dots.
Thus, the 13th Star of David fits perfectly in the center of the Genesis 1:1 triangle which is like a container.
The remaining dots = 2701 - 937 = 1764 = 4×441 (441=Truth)
Genesis Star (Star 913)
Bereisheit = 913 = 900 + 13900 is the LARGE GEMATRIA of the final letter "Final Tzadik" and "13" is the gematria of "one" or "love" as before. For if the Tzadik (righteous) is really called Tzadik, then he is united with love with G-d, illustrated by the 13 attached to him, the 1st star the unification of two triangles of Yud (10 dots each)[1].
The TRIANGLE GEMATRIA of "final tzadik" (letter + all previous letters) = 4995
| א | ב | ג | ד | ה | ו | ז | ח | ט |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| י | כ | ל | מ | נ | ס | ע | פ | צ |
| 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 |
| ק | ר | ש | ת | ך | ם | ן | ף | ץ |
| 100 | 200 | 300 | 400 | 500 | 600 | 700 | 800 | 900 |
|
final tzadik ץ = 900 + all previous letters = 4995 | ||||||||
Interestingly, the 913th Star of David has:
Star(913) = 6×913×(913-1)+1 = 4995937 dots.
Observe that the end digits are 937 (=13th star, i.e. Sabbath Star). Thus this splits to:
4995937 = 4995000 + 937
= (final tzadik triangle=4995)×1000 + (13th star=937)
Hence, the 913th star of david consists of the 13th star of 937 dots in the center surrounded by 900 layers of new stars which have 4995×1000 = 4995000 dots. (see picture below)
Perhaps the hint here in the opening word is to the goal of creation. Namely, the time when the Tzadikim (righteous) will sit and derive pleasure from the radiance of the Shechina (Sabbath corresponds to Shechina) as master Kabalist R.Moshe Chaim Luzzato brings:
Behold, what our sages of blessed memory have taught us is that man was created solely to delight in G-d and to derive pleasure in the radiance of the Shechina (divine presence). For this is the true delight and the greatest pleasure that can possibly exist. The place of this please is, in truth, in the World-to-Come. For it was created expressly for this purpose. But the path to arrive at the desired haven is this world.. The means that lead a person to this goal are the commandments which the blessed G-d commanded to us. The place of the performance of these commandments is only in this world. Therefore, man was first placed in this world so that through these means prepared for him here, he will be able to reach the place prepared for him, namely, the World to Come, there to be sated with the good which he acquired through these means... (Path of the Just, ch.1)Perhaps the 913th Star symbolizes this ultimate goal of Bereisheit/creation.
4995×1000 = Final Tzadik Triangle gematria × 1000 symbolizes the congregation of Tzadikim in the World to Come.
937 in center = "Sabbath Star" symbolizes the Shechina (divine presence) (Sabbath corresponds to Shechina in holy books).
Interestingly: 2701×26 = 70226 (Sabbath joined with 26 as purpose of creation).
As to why Final Tzadik Triangle Gematria (which is 900 + all previous letters), perhaps this hints that a true tzadik is not one who is concerned only on himself. But rather, one who tries to help and elevate all people. Thus, the previous letters represents all people. From the lowest levels to the highest levels. For man's job is to rectify himself and also the whole world (Vilna Gaon on Yonah).
A similar concept is found in the Genesis 1:1 Triangle. The inner triangle of size 37 is the Sabbath Triangle of 703 dots. The three surrounding triangles of size 36 hints to the 36 hidden tzadikim in whose merit the world receives the divine blessings to keep it going.
Observe also that in both cases, the surrounding structure has 999 sum of thousands. The three surrounding 36th triangles have 666+666+666=1998 dots[5] (1+998=999 Sum of thousands) and the 900 layers of Stars have 4995000 dots = 4+995+000=999 Sum of Thousands. 999 is the gematria of אמת נצחית (eternal truth). The small gematria=36.
Indeed both 999 and 703 are structures of stability and eternity. For when raised to any power they collapse back to themselves for all powers.
Namely, 9992 = 998,001 = 998+001 = 999 Sum of Thousands. So too for all powers.
703 acts the exact same way. 7032 = 494,209 = 494+209 = 703 Sum of Thousands. So too for all powers. It always collapses back to itself forever in sum of thousands.
Alternative explanation: 913 represents the Tzadik united with love of G-d as before while 4995937 (Star 913) represents the "real" tzadik who started expanding his path and goes along the path. He develops and actualizes his infinite potential. Such a person fulfills G-d's purpose in creating the world and on him the world stands.
Birth of the World
The Mishna teaches "this world is like a Pruzdor (antechamber) before the World-to-Come. Prepare yourself in the Pruzdor (antechamber) in order that you enter the Palace" (Avot 4:17).And in the Talmud (Niddah 17b), the birth canal of a woman is called a "Pruzdor" (antechamber) in a metaphor.
For as we saw, 2701 is related to 271 (pregnancy) as this world is like a pregnancy stage before the "World-to-Come". This is true for the world generally and also for each specific person.
Each person builds himself through his deeds here. This building process ends at death. For after death, a person can no longer grow and develop anymore. He is fixed forever into what he made of himself. Thus, this world is symbolized by "pregnancy" (271) while the next world is like birth. For the essence of this world is "pregnancy", "laasot" - "TO DO". Everything in this world is built around this purpose. And in the "Path of the Just" ch.1:
If he will be a man of valor, emerging from the battle victorious on all fronts - he will be the "Adam HaShalem" (whole man) who will merit to cling to his Creator and will emerge from this Pruzdor to enter into the palace to enlighten in the Light of (eternal) Life.
According to the extent that he conquered his inclination and lusts, and distanced from the factors which distance him from the good, and exerted himself to cling to G-d, to that extent will he attain it (the connection and cleaving to G-d) and rejoice in it.
| The numeric string 4526 first appears at the 611th decimal digit of Pi | |
| 4051320005681271 | 4526356082778577134 |
| ^ <-- 611th digit | |
Interestingly, at the 611th position of Pi appears 4526. 45 (Adam) and 26 (Tetragramaton) and just before is 271 (pregnancy). Perhaps this hints that the main purpose of the pregnancy (this world) is for man to draw closer to G-d. This is done through the Torah.
While in this world symbolized by 6, the 6 days of the week, one needs to keep his mind constantly on the goal which is Sabbath, the next world. Thus, the triangle of 2701 dots is surrounded by three triangles of 666 dots with the Sabbath Triangle (703) in the center. For to this one "needs to direct his gaze and his aspiration in all that he toils all the days of his life" (see Path of the Just, ch.1).
Repentance
Our sages taught that Teshuva (repentance) was one of the 6 things that preceded the creation of the world. For G-d saw the world could not endure without repentance. The road to becoming a tzadik is not at all a straight one. There are many ups and downs "for though a righteous man falls seven times, he rises again" (Proverbs 24:16). It is a slow process.Teshuva (repentance) has Gematria of 713. Teshuva preceded Bereisheit (Midrash Bereisheit). Let us search for "913-713" in Pi:
| The numeric string 913713 first appears at the 872,611st decimal digit of Pi | |
| 30023949246000846441 | 91371345373908817105432971 |
| ^ <-- 872,611st digit | |
Interesting numbers appear before is 441 = truth. After is 45 = Adam (man), 37 = Hevel/breath (speech).
The location in Pi is 872,611
611 = Torah
what is 872?
Not clear. As an interesting anecdote, it is the gematria of the famous words of Rabbi Nachman of Breslov on Teshuva: "ein shum yeush baolam" (אין שום יאוש בעולם) (there is no hopelessness in the world) = 872
Thus, in order to do teshuva, two things are needed, for a man to toil in truth, i.e. speaking words of torah and "ein shum yeush baolam"! Never give up!
Star 175
As we saw in section "Sturdy Foundation", the prime factors of Genesis 1:1 are balanced around the number 175.The number 175 is a mystery. There are many interesting mathematical properties associated with it.
For example 175 is the 7th decagonal number (10 sided polygon) and a decagonal pyramid number, the smallest number after 1 that has both properties. Fibonacci 175 has 37 digits. 175 is the magic constant of a 7×7 magic square.
Observe that the 175th star of david has 182701 dots (18=life and 2701).
182701 is the 16558th prime (165-58) (165 is "nekudah-point" and 58 is the final center point of 913-Bereisheit, i.e.913->457->229->115->58).Star 175 is made of two 523rd Triangles of 137,026 dots (137 and 26). 137 is the uniformity structure of the worlds as it reflects the 10 Sefirot: 1 crown from which, now detaching: 3 higher sefirot and 7 lower[5]. Interestingly, 137+776=913
The frame of star 175 = 3126 dots (31-26 = almighty G-d)
inner hexagon = 91351 (913-51)
These are amazing numbers, very designed, and show that those so called arbitrary values are actually connected.
This is endless Torah study[1], and to me, this is absolutely, I mean, absolutely, wonderful and astonishing and remarkable and incredible with levels of gratitude to Hash-em for this.
>> Next: Tenth Letter
Footnotes
- [1] heard from Oren Evron return to text
- [2] Interestingly, the "Triangle Gematria" of "wisdom" is 271 (pregnancy). 271 is the center point of Israel (541) and also its inner hexagon, the pregnancy of the 12 tribes of Israel. The triangle gematria of "pregnancy" is 1081 (Tiferet) and 541 (Israel) is the center point of 1081. Thus, it seems Israel, wisdom, and pregnancy are all center point aligned in standard and triangle gematrias. return to text
- [3] The Talmud (Menachot 29b) teaches from the verse (Isaiah 26:4): "Trust in G-d forever, for in Yud-Heh, G-d, is the Rock of eternity" (בטחו בי-הוה עדי עד כי בי-ה י-הוה צור עולמים) that this world and the next were created with the letters "Yud-Heh". The gematria of this verse is 776 (middle point). No other verse in the entire Tanach (Bible) has gematria 776. return to text
- [4] Interestingly, Pi corresponds to the holy Name "Sh-adai" (314) which means "She'amar l'olamo dai" (737). Pi begins 3.14 like Sh-adai (314) and the digits proceed 165 decimal places reaching the digit sum of 737. What shows up at the 165th digit? 2701 the gematria of Genesis 1:1.
Observe that 913 (Bereisheit) + 737 = 1650 = 10 × 165 (Gematria of 6 days of creation). For the word Bereisheit included everything in potential. Note also that there exactly 165 instances of G-d's Name (Tetragramaton) in the book of Genesis, a further expansion of "Bereisheit". The holy Name Elokim created the essence (atzmut) of all things. But their inner life force comes from the Tetragramaton (26), as written (Nehemiah 9:4): "You impart life to all of them" (Aderet Eliyahu, Genesis 1:1). Thus, the final center point of 2701 => 1351 => 676 = 262. return to text
- [5] Note that the 1998 dots split to three triangles of 666 each as we saw in section "6 days and Sabbath". For there is a struggle from the Klipot (forces of evil). When the klippot take control over 703 ("and the earth"), yes it is complete darkness and lies, but when we take hold of it, we Mekadesh Hachomer (sanctify the physical). This is why Jews must eat and drink and be with wife etc and especially Oneg Shabbat etc.. This is why 666 is held by 36 corresponding to the 36 Tzadikim and half of Chesed (72) etc.
What holds the klippot is Emet (truth) that is concealed by their actions and lies. But if it were a 100 percent lie, it couldn't exist at all. It would not be even allowed to be thought, a beginning of consciousness of words etc.
In any case, it isn't "bad" it just means there is a struggle for the klippot to become part of kedushah (holiness).
Light and darkness: there are physical instances but also light and darkness in terms of the clear view of the mind, they both have the same בחינה same essence even though they are very different in many regards, they are both coming from the same spiritual root which is: "revealing reality" and "covering reality" התכסות והתגלות so the light is part of revelation and dark is part of hiding (heard from Oren Evron). return to text
- [6] א-ל י-הוה ישראל which we saw as the location of the 913th triangle. The "first letters" (איי) have gematria=21, while the last letters (להל) have gematria=65. The small gematria is 31 "E-l" (א-ל), the most merciful name of G-d. Interestingly, the centroid (see end of section "10th letter") of triangle 913 is the 185,441th dot 1-85-441 and the 913th star is made up of two 2737th triangles, all important numbers.
The Tetragramaton (Havai) is all the Sefirot of creation. It starts with E-heye (אהי"ה "I will be") as that is in the crown, not yet shown in the first glimps of light. Then all the light is in the Sefirot and that is through Havaia and the vessel to allow this to be contained is A-donai (65).
This is explained using other words but same concept in Shaarei Orah. There he says it most explicitly that all of reality started and is contained through this "line" of these 3 divine Names.
Thus the crown activates through E-heye then Havaya lights up everything through Tiferet which means the light goes simultaneously through all the Sefirot from the crown and then it reaches the Malchut and gets a vessel that holds the light in order to influence it further to the next round, the Malchut is where A-donai is activated.
So the central of central would be 541 as it is center point of Tiferet (1081). Meaning at the core, at the heart, at the first instance of the manifestation of E-heye (אהי"ה) for creating the world, there is Israel already. This is profoundly expounded at the Torah when Moses asks Hashem what to tell Israel, who is the one reaching out to them and wishes to save them from their misery and sorrow. Hashem says the name E-heye (אהי"ה (I will be).
Beresheit is the beginning of "is" which is Havaia, "was, is, and wil be", and it is using Chochmah-wisdom, which lights all the Sefirot etc.
The first verse squeezed versions:
First letter: 2
First word: 913
First verse: 2701 but squeezed is 2+701 = 703
So 2-913-703 is 1 step before: 2-913-2701
And 21-26-65 which represents the holy names in their right order is located in Pi EXACTLY at position:
1283678 = 2 × 913 × 703
This, alone, without anything else, should make any reputable scientist that is coherently thinking to be amazed. (heard from Oren Evron. note also: sum of thousands = 1+283+678 = 26*37 ). return to text
- [7]
Interestingly, the letter "Yud" (י) = 10 Gematria. The letter "Yud" spelled out (יוד) = 20 Gematria.
Both 154/541 have the same decimal digits. Yud is the "point of creation" while "Yud" spelled out is like the inner hidden reason for creation (Israel). return to text1-0 = "one-zero" (אפס אחד) = 154 Gematria (Nikud), the word root of Nekudah as we saw in section "Place of the World". 2-0 = "two-zero" (אפס שנים) = 541 Gematria (Israel).
- [8]
Interestingly, at the 232,541th digit of Pi appears 60,458 = Elokim (86) × Sabbath w/kollel (703)
As before a 232 letter skip (232="let there be light") from Genesis 1:1 central Yud spells Israel (541). For a Jew who guards and sanctifies the Sabbath can tap into this hidden light according to his level.
The numeric string 60458 appears at the 232,541st decimal digit of Pi 2553880918629368 604586739521133104685 ^ <-- 232,541st digit
Observe also that the gematria of "light" (אור) is 207 and the torah is called "light" (Proverbs 6:23). A search in Pi for "611207" corresponding to "torah" (611) and "light" (207) gives:The numeric string 611207 first appears at the 702,851st decimal digit of Pi 8301053055854740 6112071090359352224531 ^ <-- 702,851st digit
702 is "Sabbath" and mirror reflection of "207" (Light), which is a known concept, where the reflected kedushah (holiness) from Sabbath being kept properly illuminates the person with "Light".
851 = 23 × 37 (Chayah × Yechida), as before these are the two higher aspects of the soul, the makifim (surrounding aspects). So it seems to be very clear that this is a message about bringing the light into the person by keeping the Torah and Sabbath specifically. The Chayah and Yechidah are lights outside and the act of going by the Torah and observing the Sabbath brings the light inside. This is to be channeled via "DAAT". From the Keter it goes into the Daat (474). Note that prior to 611207 you will find 4740 which is Yud × Daat or Daat-0, Daat that comes from the Keter from the Yechidah (which also correspond to 10, yud). There is much to discuss here.. (heard from Oren Evron) return to text
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