κ 60Stars Astrology Mini Appendix of Off Season 2（extra）～"Between Φ and 1/Φ"

60stars astrology

English version

By Tokyo-Tanuki

60stars Astrology Off Season 2

κ  60Stars Astrology  Mini Appendix of Off Season 2　extra

～"Between Φ and 1/Φ"

1. Tanu-chan doesn't like hot weather.

But I can fantasize even when it's hot.

I do fantasize on the train, and sometimes my glasses fog up from sweat,

Well, it will be autumn in about two months, so I have to be patient until then!

Now is a special time, especially when Horus, Isis, and Osiris rise at the same time, so don't use magic.

The whole world is in an uproar, but all you Good Boys and Girls, don't use magic!

You'll get caught up in this magical struggle!

2. 　Now, this time, my fantasy is not so much a fantasy as it is a story.　It is a rather normal story.

Φ = 1.618033988
1/Φ = 0.618033988

By the way, as is well known
Φ is the solution to the quadratic equation X squared - X = 1, and the solution to this equation is,
X = (1±√5) /2

since the solution of this equation is
1+√5 /2 = 1.618033988
1-√5 /2 = -0.618033988

So we have that 1/Φ is the absolute value of the second solution.

3. Since I am bored writing about obvious things, I will move on.

Counting the difference between this 1.618033988 and -0.618033988,
1.618033988 + 0.618033988 = 2.236067976.

In other words, we have Φ + 1/Φ,
Dividing this by two yields 1.118033988.

The average value of Φ and 1/Φ is also this value. 

Well, to put it simply, it is √5/2.


Well, here we have the usual sequence of numbers "18033988".



4. Then, let this 1.118033988 be "a",
"a" = the reference point,
In other words, if we move the graph of the quadratic curve with " Y = X squared - X - 1",  so that (a) is the vertex,

Then,
Φ-a = 1.618033988-a = 1.618033988-1.118033988 = 0.5

Also, for Φ-squared, we have
Φ-squared-a = 2.618033988-a = 1.5

Then, how about Φ cubed, and let's try
Φ cubed - a = 4.23606797162 - a = 3.118033988.

Oh, I see the "18033988" sequence of numbers again.


5. By any chance, let's try it with the 4th power of Φ.

4th power of Φ - a = 6.85410195354 - a = 5.73606796554.

Hm? 　Then, if we minus "a" again from here,
5.73606796554-a = 4.618033988

Ah, there's that "18033988" sequence of numbers again!



Just to be sure, let's try it with the 5th power of Φ,
The 5th power of Φ - a = 11.0901699180, 

so　The 5th power of Φ - a - a - a - a = 6.618033988!

There it is again!
The "18033988" sequence of numbers!

And just to be sure, let's try it with the 6th power of Φ,

Φ to the 6th power - (a x 7)
= 17.9442718601-7a = 10.118033988!

I got that  "18033988" sequence of numbers!!!

So, perhaps it is mathematically obvious, but it looks great!

Couldn't this itself be the coordinate axis of the graph?

🌟　🌟　🌟

This article was about subtracting  "1.118033988" or √5/2, from the 〇th power of Φ several times, and at the end, the fractions will be " ...180333988" and will be neat and clean! 

That's all I have to say today!

....Well, that was just a normal story than usual, wasn't it?




Tanu-chan💓 TOKYO-TANUKI💛