Biblical Abraham, the Great Pyramid in Giza and the Golden Ratio

This post is simply showing a subtle relationship the author thought was interesting and wished to share. No conclusion is being made or suggested.

Refer to the post titled “Thoughts on the Number of the Beast” on August 21, 2021. The author feels that the number 175 plays a significant role in the play that is about to slowly unfold over several posts.

Before we start I would like to take a quick minute to outline a few terms and operations used in this post for a baseline. Forgive me if the below is familiar.

Golden Ratio, Divine Proportion, φ, Phi, etc.

The Golden Ratio (1.61803398…), when applied to a circle (360˚), has interesting dividing lines and numbers. Some of these numbers may seem more familiar without the decimal precision and are often times left unchanged or rounded either up or down.

360° ÷ 1.618 = 222.49° (the whole number could be represented with either 222 or 223 if the fractional portion is left out)

222.49° ÷ 1.618 = 137.50° (the whole number could be represented with either 137 or 138 if the fractional portion is left out)

137.50° ÷ 1.618 = 84.98° (the whole number could be represented with 84 or 85 if the fractional portion is left out)

A visual is below for clarity:

Fig. 1

Note that the delta between 222.49° and 137.50° is exactly centered at 180° with 42.49° or either side. Taken out to several decimal places we get the below numbers:

222.49223595 – 180 = 42.49223595 and 180 – 137.50776405 = 42.49223595

Fibonacci Sequence

The typical sequence starts with 1, 1, 2, 3, 5, 8, 13…n and so on. Where each subsequent number (n) is the sum of the two previous numbers, i.e.: 1 + 1 = 2, 1 + 2 = 3, 2 + 3 = 5, etc. As this sequence progresses, any two adjacent numbers in the series, divided between each other, will increasingly equal the Golden Ratio, 1.61803398… or 0.61803398… depending on which number is used for the dividend and divisor. The connection with the multiplicative inverse of each number is obvious and very cool.

Right Triangles

For any triangle, the sum of all three internal angles will equal 180°. For a right side triangle, given the length of the two sides (S1 and S2), the hypotenuse (H) can be found with the following formula:

Fig. 2

This concludes the baseline introduction. The main content starts below.

Abraham, Ishmael and Isaac

The ages of Abraham, Ishmael and Isaac from birth to death have interesting numerical relationships. First, let’s look at their ages at death:

Abraham = 175 (Genesis 25:7)

Ishmael = 137 (Genesis 25:17)

Isaac = 180 (Genesis 35:28)

These numbers should stand out and beg for attention. For me, the number 180 immediately says either one of two things: a triangle (180 degrees in a triangle); or one half a circle, 180 degrees. The numbers 175 and 137 likewise scream a right triangle based on the Golden Ratio. Since a triangle seemed to be a common theme above, I decided to investigate more using a triangle.

The numbers 108 and 222 (223)

Using those two numbers to construct a right sided triangle we are left with one other number to calculate and two triangles, depending on which sides are used you would get the below:

Fig. 3

Both derived numbers, 222 (arguably 223) and 108 are very interesting. So interesting are they that volumes have been written about each throughout history and many religions respect each as sacred. In one lifetime I could not read all the material on these two numbers. I will say that both exhibit underlying properties revolving around the Golden Ratio.

Note that we do not have the year-month-day date for each death so we do not have decimal precision. So what is the number 222 shown above in the hypotenuse? We can see it when we construct the sides of a right triangle using the angle numbers from a circle (360°) divided using the Golden Ratio.

Fig. 4

Assuming that the numbers are a reference to the Golden Ratio, calculating the angles for the above right triangle gives us some very interesting numbers. These angles are the same as in the Great Pyramid at Giza (see below).

Fig. 5

Speaking of pyramids, I found the above to be very interesting considering the route and stopping points in Abraham’s epic journey. Stories abound about his travels including sojourning to and living in Egypt for a while (Genesis 12:10), meeting with Melchizedek the King of Salem (Genesis 14:17-24), attending a Mystery School of the order of Melchizedek , learning “lost secrets” and much more.

Back to the “Triangle of Abraham”, there is no denying that the numbers 137 and 175 have a intimate relationship to that of the Golden Ratio using a right triangle and the angles of that triangle very closely match those of the Great Pyramid in Egypt which was in the path of Abraham’s travels. Note that the triangle using 137 and 175 is not an exact angle match to a triangle using several digit decimal precision based on the Golden Ratio. It was not until much later, several years actually, that I found out that this lack of precision may have been intentional. I hope to write about this in future posts.

If this is a true reference to the Golden Ratio then should there not be a Fibonacci type numerical expansion buried in scripture as well? Recall that each number in the series expansion is simply the sum of the two previous numbers. It could only be deemed significant if the number was called out in the scripture or based on two different methods of discernment that connected each other.

Going back to the scripture, let’s start with Abraham’s age when Ishmael was born. He was 86 years old (Genesis 16:16). We now have 86 and 137 listed in the scriptures. How old would he have been when Ishmael died? He would have been 223 years old since Ishmael died at 137. Simple, yes, and somewhat contrived since all we did is sum 86 and 137 to get 223. I am fully aware that only three numbers do not prove the existence of a Fibonacci type series. But what else, if anything, could this be a reference to? These numbers are practically identical to the numbers (angles) obtained when sectioning a circle using the Golden Ratio. Yes, the numbers are off by a few percent but would this error not be considered negligible yet still accurate enough to convey an idea or to reference a deeper meaning?

Now, if we were to include the next number in this series which would be 360 (137 + 223), we would have the numbers 86, 137, 223, 360. It certainly looks very close to a subdivided circle using the Golden Ratio (Fig. 1).

Before I continue I would like emphasize something about “making a silk purse out of a sow’s ear” as it were. If we dismiss a story or idea simply because it lacks exact precision we may miss out on the underlying construct or allegory the narrative is attempting to convey. We may not delve deeper and possibly find hidden or latent gems. This type of “dismissal” is inherent in human nature especially when a indoctrinated structure or norm is perceived to be under attack. This can, and is, used as a means to conceal things that are not meant to be revealed to the uninitiated (Proverbs 25:2 – It is the glory of God to conceal a thing: but the honor of kings is to search out a matter).

When an imposed ideology is confronted with opposition or alternate view, typically involving a belief system, the defense is to latch on to anything, regardless of the significance or relevance, in order to refute the alternate view and even obfuscate it to squelch further discussion. Negligible aberrations in precision dominate and control the minds of those looking for fault.

I would like to close this post with an example of delving deeper into a subject matter and not dismissing a possible yet simple pattern the subject may contain.

“If you knew the magnificence of the 3, 6, and 9, then you have a key to the universe.”

Nikola Tesla

Nikola Tesla was quoted as saying “If you knew the magnificence of the 3, 6, and 9, then you have a key to the universe.”. I am not going to get into this quote with everything it entails as it could take volumes to write out. However, I do want to focus quickly on the numbers Tesla stated above. Besides holding great significance in many areas, the numbers 3, 6 and 9 could also be seen as the start of a series, a Fibonacci type expansion series. Dismiss this if you wish but I would like to make a point about dismissing something before looking deeper.

If we expand on this series by summing the two previous numbers to obtain each next number, it would look like this: 3, 6, 9, 15, 24, 39, 63, and so on. Of course the Golden Ratio is built into each pair with increasing accuracy as the series continues due to the additive expansion. However, there is a curious yet beautiful correlation to Pi (π) and the Golden Ratio within this particular series that starts with the numbers 3, 6 and 9.

Fig. 6

Where have we seen those numbers before (84.9, 137.5, 222.5 and 360)?

(Hint: Fig. 1)