The eye of π — A new view on the world’s most famous number.

Wesley Long
11 min readOct 17, 2022

Is it time to change how we view the world’s most famous number?

For many, π is simply the ratio of a circumference to the diameter of a circle and the story ends there.

The truth is, we find π in everything, not just circles. Circles may have made pi famous but the only reason we find them in circles is because it is in fact permutating throughout everything in the universe.

It turns up in so many places it is one of science and math’s most mysterious numbers. It has puzzled the world’s greatest minds for thousands of years, but what is it? If it is not just about circles what exactly is it and why is the value precisely 3.141592 etc? …

What makes it irrational and transcendental?

I have spoken a lot about these things over the course of my entire Synergy Sequence Theory research. The discovery of OctoQuadrian numbers and the formulation of Syπ in 2019 really opened my eyes.

Syπ teaches us a lot about temperature and pressure through the Syπ gradient. It has proven to be remarkably accurate, but there are still more questions than answers. There are so many formulas that approximate π. By looking for π in other places we can find more clues as to it’s true nature. We saw this with the Turtle Pi Problem I posted (which is not supposed to be possible).

In this context I am always on the look out for a new thread to pull, and boy did I find a good one.

It started off with a simple question. If the ratio of a circle is π, what would the diameter need to be to have a circumference of 1?

One may think this is easy. The diameter should just be π/10. It terms of accuracy it is not even close, at 0.9871. In fact the diameter of the circle would need to be 0.318266 in order for the circumference to equal exactly 1. Why? Does this not defy the rules for what we know about pi? Many may argue no, because pi is always just an approximation. The fact of the matter is we never find the actual value we claim to be pi. It’s always “just an approximation”. That to me is not enough.

In the words of Richard Feynman… “If it disagrees with experiment, it’s wrong. In that simple statement is the key to science.”

So what is really going on here?

Lets build a few constructions to try and isolate what could be happening. If we consider a dot or point of one millimeter and use this as a unit to build up our diameter we find that 31 points or 31mm would get us close to a circumference of 1, coming in just under at 99mm.

Using 32 circles puts you over the mark by 1 at 101mm. We know pi lives somewhere in between, and, if you notice in the 31mm example the only way to make it work is by having the inner row of circles kiss (or touch) while the outer row has a tiny gap.

The 32mm example by contrast requires the third inner row of circles to kiss. The gap between the circles (points) and the shifting of that gap is where the secret of pi is hiding.

I have written about the fine-structure constant, golden ratio and pi specifically around this connection.

Before I get into anymore details I need to recap a couple of key points from all of my previous research to add context. It’s not much for this exercise so of you want more information on these concepts you will need to read all of my research.

First the Synergy constant. This constant is not like other constants. It is a whole number, and has 6 different permutations. We will label these Synergy constants as s1 through s6.

As some quick examples, s2 = 162 is the most prominent Synergy constant out of all six permutations. It is used as the position variable in the Syπ Equation. s1 is used in the calculation of the Radian base. s3 is the total number of possible digits on the Synergy Sequence Map.

Second are OctoQuadrian numbers. These numbers have a very unique and peculiar behavior and there are only four. The first of which is also the Synergy constant s1.

What is notable and important about these numbers for the purposes of this post is that there is a pattern to them. There is an exact difference of 250 between each OctoQuadrian and, they also represent fractions.

Now that I have provided some context for these 2 sets of numbers lets get back to the problem of understanding the gapping between points. Let’s start with setting up 4 simple variables for our construction. This may seem counter intuitive at first because are not starting with a circle or point.

You can see we start with a length of 1 and how the height is calculated. This height is based on what I call the Eyπ ratio. The equation converges to a constant which is the value of d.

This equation is very simple to understand. It is just adding fractions of multiples of 10 with matching powers. After only 8 iterations the number becomes constant.

Why do I call it the Eyπ ratio when it looks nothing like pi and is not a multiple of pi. There are also no circles present and only a very specific triangle.

Wait…Is that actually the Radian?… If we multiply the Eyπ ratio by 27.25 we get a number that is suspiciously close to the Radian. This is a triangle we are looking at!

The number 27 was also use in the Syπ equation. Unlike the Syπ equation where 1 was added to 27 to give 28 (which happens to match the period of the moon). Here adding 1/4 or 0.25 gives us a really decent approximation of the radian, and thus, pi. How much is it off though and where does that difference come from.

After using some Synergy tricks I was able to determine the exact difference. Look at how remarkably accurate this is. Of course once we have a Radian, finding pi is easy by dividing it into 180.

What is remarkable about this is how close to the “Official” or “Accepted” value of pi it is. Matching the first 12 decimal places. It’s even closer than Syπ but is also in agreement with Syπ which I will come back to later on.

For now, the basic concept to understand here is that like Syπ we have the Synergy constant and OctoQuadrians working in tandem to pull pi out of seemingly nowhere.

So what does the Synergy constant, OctoQuadrians and Pi have to do with this triangle and the simple formula that sets the height.

Well if you are not already intrigued by now, it is about to get A LOT more interesting. Upon further examination of the triangle we find the following to be true.

If you have been paying attention. While I did mention the OctoQuadrians first with the Synergy constant for context. They were NOT a part of the construction of this triangle. Yet here we find OctoQuadrian spacing between 2 equal areas within the original triangle/rectangle. That’s interesting!

Let’s switch gears a bit and put a spin on this problem.

If we take this triangle and combine it with the dot construction. Only instead we treat these dot as points of charge/light or the poles of a magnet. This also involves the inverse square law.

There are so many amazing things to point out with this construction. It is absolutely remarkable and extremely revealing. Where do I even start?!

Lets start looking at the charge doubled at 2. You can see this accommodates the OctoQuadrian gap between the original construction perfectly. The other critical aspect to take away from this is the 2.725 diameter. If you feel like you have seen that number already it’s because you have. It is part of the formula derived from the same triangle that when used in conjunction with OctoQuadrian spacing gave us the Radian in the first place.

In terms of this construction the 27.25 seems to be directly connected to a possible field that intersects with our poles. Not only does it seem connected to fields but there seems to be an implied exchange of charge through these intersections. This brings us face to face with what I have dubbed the eye of pi.

This is not the end yet though. We still have not solved our original problem. It’s neat that it looks like an eye and while this is extremely striking, and relatively simple construction, what does it mean really? In terms of practical use case in our construction.

Lets make an adjustment to our construction and swap out points of charge for this eye (or leaf shape). We will make each leaf a little magnet with a North and South pole and flip them. If you can imagine a little boat circling the origin or 0 point.

When I saw these results my jaw hit the floor. When you line up the original point construction with this Magnetic Polarity context the match is perfect. Not only is a perfect match but it follows the exact same rules as far as having the inner row kiss.

The most stunning observation is the most obvious. You can visually see wave propagation and the flow of current or fields. It is geometrically and mathematically perfect and everything precisely snaps into place according to what I have laid out in front of you.

From points to triangles, to squares, back to points, then to a leaf shape derived from this exploration. We now have effectively a model for Electromagnetic waves!

This may seem like the big finale and that would be acceptable to many,but we are still not done.

There are two different type of connections between the poles of each little magnet in our construction. This is really difficult to see on the above image because the connections are so small.

These connections give 2 distinct hemispheres to the construction. 2 of the connections I call “Hard” connections and 40 are “Soft”. Both connections share similar properties, and are clearly the inverse of each other.

Interestingly enough I had to scale everything up by 25 times (OctoQuadrian) in order to be able to make sense of it… and wow, make sure you buckle up.

Just look at how precise this is. A “Hard Connection” has a height of exactly 10/7 while a “Soft Connection” has a height 28.8% larger. More over look at how it actually works geometrically. You can see the arc is created from soft connections while the only two hard connections can be found only at the equator.

This is really intuitive. The equator is a compression point where the hard connections act as anchors that lock the two hemispheres into place. The soft connections are what determine the actual circumference and this depends on how many points/positions are in the arc.

In terms of magnetic fields or electric charges this also makes sense. You can imagine the tiny space between poles in the soft connections as spark gaps. These spark gaps are what oscillate the charge, creating a frequency.

Imagine we built a machine that included a fly wheel with spokes configured exactly the way I have described. What would the magnetic field produced look like? How would the wave distort, compress and expand?

While I cannot say with the same certainty as everything I have shown you my prediction is it will look something similar to the following. It may not be exactly the same due to motion but I feel there will be a distinct correlation based on all of the above.

This is a stunning image. There are so many observations to make from this image and entire discovery. For now, I will save those for another time and another post.

Eyπ has been a real “eye” opener. Pun intended. It does not at all disagree nor conflict with Syπ in anyway. In fact the two are compatible and both agree 100%. Both Syπ and Eyπ are π but not in the way we are use to or have come to think.

Syπ is a full gradient of all possible values of π. It includes Eyπ in the gradient at position 162.0055 etc, which of course is the Synergy constant.

Syπ and Eyπ are both tools that help understand the fundamental mechanics behind pi itself along with other mathematical constants.

Eyπ is an oddly very specific value for π. Remember π is supposed to be just an approximation. Here we are not approximating anything. These are exact values that came from a triangle NOT a circle! The entire process I have described to you can only work the way I have described. There is still much to learn, but everything I have presented can be completely verified.

This journey with π is far from over and keeps getting more and more interesting. Synergy Sequence Theory and Syπ have taught me so much about numbers and math. Further it has helped me understand the universe and the world in which we live, in meaningful, tangible ways.

There is still far more I don’t know than I do. Rabbit holes like this as amazingly satisfying as they are often come with even more questions. Usually even more interesting then the initial questions. Such is the circle of life, again pun intended.

With that I will leave it for you all to think about and make your own observations. As always I welcome constructive feedback, comments or questions. Please feel free to do any.

If you want to discuss more or join the small community I have on discord you can do so here https://discord.gg/phxHNF8

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Wesley Long

Entrepreneur, Graphic Design, Web Development, Basketball, Fishing and everything else in between.