卉（ki) Season ▲ Appendix: Birds and the Pyramids — Part 2 The Mysterious Stairs of the Golden Angle Φ

60 Stars Astrology Season ▲

English　Version

By　TOKYOｰTANUKI

卉（ki) Season  ▲ Appendix: 

Birds and the Pyramids — Part 2

The Mysterious Stairs of the Golden Angle Φ 

1. Through a Bird’s Eyes

When you think of the pyramids, you think of the god Horus—strong, powerful, with massive wings spread wide. 

Flap, flap! 

But at the end of the day, a bird is a bird. So, let’s try looking at the world through a bird’s eyes.

I don’t actually know what goes on inside a bird’s head, but I had a strange encounter recently. 

While walking near Shinjuku Station, two pigeons flew right past my head! 

It turns out they had built a nest inside a station duct. 

............Why they chose such a crowded place is a complete mystery. 

As you can see, the feelings of birds are hard to decipher—but maybe they see things we don't.

2. That Triangle in NYC: Coincidence or Sacred?

Remember that slender building in NYC? 

It has a base angle of 1/Φ, a steep incline of about 84.99°. 

This triangle is hidden all over the pyramids—in the Grand Gallery, the Queen’s Chamber, and the Red Pyramid....maybe...

Skeptics might say, "It’s just a coincidence!" or "A 32-faced solid is nowhere near a sphere, you lying Tanuki!" 

.........But I believe this is a legitimate Sacred Triangle. 

If we split it into two right triangles based on the Golden Angle 

(Φ, where 1 + Φ = Φ^2), the ratios of the angles become: （4Φ^3 : 1 : Φ^6）

If we set the narrowest angle to "1," the entire 360° circle is represented as:

360° = 4Φ^6 = 32Φ + 20 = 20Φ^2 + 12Φ

Wait... 20 and 12? 

That’s like a soccer ball, or the way we divide time and the zodiac!



3. A Sudden Realization

This is where the bird (Horus) has a flash of inspiration. 

Let’s look at the value for 360°, which we’ll call H = 4Φ^6.
Calculated simply, it’s "H = 71.7770876399..."

Just an endless, messy decimal. 

But look what happens when you raise it to higher powers:

* H^{10} = ...5151.99999969...
* H^{20} = ...7287551.999999999999...
* H^{100} = (Massive number) .999999999999999999999999...

It’s a miracle! 

This number is a direct relative of the Golden Ratio.

 It is "pulled" toward perfection as it grows.

4. The Sacred Triangle?

So, it turned out that the NYC triangle seems to be... quite a special triangle.

A Sacred Triangle!

Or perhaps...
The Soccer Ball Triangle!


But...

What does it actually mean?

......Well, whenever that happens, it's time to become an even bigger bird.

Think like a bird!

Birds, lend me your power!

Horus, King of the Birds!

(Fig)

...

And then...I started to see something.

According to the figure above,
* Bottom angle B = 1/Φ
* Tiny top angle A = 1/(4Φ⁴)
* Right angle C= 90° = Φ²/4

If those values are correct, then perhaps the following relationship holds:
A² + Φ = (B + C)²

In other words, if you square the smallest angle A of the NYC triangle and add Φ, you obtain the square of the sum of

B = 1/Φ and C = Φ²/4.

Since　A = C − B　, 

we can rewrite the equation as

A² + Φ = (B + C)²　which gives,

Φ = (C + B)² − (C − B)²=  4CB = 4 × (Φ²/4) × (１/Φ)

...Maybe??


Well...It's all just Tanu-chan's imagination, after all.

At least, we've found what appears to be a rather unusual triangle—one whose bottom angle becomes 1/Φ when the full circle is taken to be Φ².



So...What is this equation actually good for?

...............I'll leave that for each of you to figure out.

See you next time!

Tanu-chan 💓　TOKYO-TANUKI 💛