φ 60Stars Astrology Season 5 Mini Extra Edition1 ～ " Figures (Numbers) " and " Delusions "

60stars astrology

English version

By Tokyo-Tanuki

60stars Astrology Season 5

φ  60Stars Astrology Season 5 Mini Extra Edition 1

 " Figures(Numbers) " and " Delusions "

1. As I have written before, Tanu-chan has been imagining polygons and circles from various angles, wondering if it would be possible to describe the shape of the world, including life activities, in a unified equation.

Since I imagine every day, I am never bored even on the subway.

Whenever I have an idea, I take notes.

I write a lot of triangles △◢ and so on.

The person next to me looks at me like I'm scaring her!

...Let me tell you what kind of imaginations I make.

2.  It has been said for a long time that the key to life transformation is the spiral motion (golden spiral), and many people have tried to explain it in terms of pi and φ.

In particular, the most famous one is the almost exact approximation, 

5π≒6(1+φ)＝6× φ squared.

If you find the area of the circumscribed circle of a square with side = 1, then 5 φ is 10 times the value of the area of the circumscribed circle.

6(1+φ) is 6 times the sum of a side and a diagonals (1+φ) of a regular pentagon with side = 1.

I am very interested in this!

2 . Triangles, quadrilaterals and pentagons can make a regular polyhedron.

So since they are one group of best friends, I feel they can be interconverted in some way.

And if we take the length of each side to be 1 and the distance to the farthest corner on the opposite side of a particular corner to be L ( let's say this is a diagonal), then we can represent a polygon as the length of one side plus L,

Triangle is 1 + 1
Quadrilateral is 1 + √2

Pentagon is 1 + φ

They can be expressed like this.

By the way,

Hexagon is 1 + 2

Octagon is 1 + 2×√（1＋√2／2）※
Decagon is 1 + 2φ

So, the groups of hexagons, octagons and decagons are also quite close.

Since regular polygons can be solid faces (except in the case of Archimedean regular and anti-angular prisms) only up to regular decagons, it seems that from triangles to decagons, we can say that they are all friends, at least for the moment.

The heptagon and the nonagon seem to be friends with very strong personalities, though.

3.  By the way, Tanu-chan is a liberal arts student, so I am not familiar with Euclidean geometry.

Long ago, I mentioned,

A circle is a regular dihedron 💛

and I wrote that there is one vertex and one edge in the circumference, but at the same time, I wrote that the number of edges is also infinite because you can take a vertex anywhere.

Well, it was a bit confusing to write that, but there is the issue of the definition of "edge".

🌟　🌟　🌟　🌟

(1) If we define an "edge" as a line segment connecting two points that are different from each other,

A circle with a certain point as its starting point will have one vertex and one endpoint that overlaps the starting point, so in this case, strictly speaking, the circumference that looks like an edge is not an "edge" at all.

However, if we consider that there are innumerable vertices on the circumference, there are also innumerable edges.

(2) If we assume that an "edge" is a line connecting two points, but not necessarily a line segment (connecting two different points), then no matter how you think about it, for a circle, the number of vertices = the number of edges.

....Well, if anything, it is somewhat logical that the circumference of a circle has different characteristics from the edges of a polygon.
But, at any rate, for this diagonal problem, let's think of it in a polygonal way, as if there are countless vertices on the circumference of a circle.

Then, in the case of a circle, the edge + diagonal can be expressed as 0 + π.

Since the circumference of a circle is 2π, the path to the farthest point is π, maybe.

Well, this also ignores the conventional definition of "A diagonal is a straight line" .




4.  In this space, only the circle, equilateral triangle, equilateral quadrilateral, and equilateral pentagon can be regular polyhedron, right?

So, these four figures are the true best friends.

Then, if we add the diagonals of these four figures, 

we get

LT = (sum of the values of the diagonals of the circle + triangle + square + pentagon)
= π + 1 + √2 + φ
= 7.17384


Then,
If we square this (LT) and multiply it by 7,
7.17384 × 7.17384 × 7 ≒ 360


........If people ask me, " So what?", Tanu-chan has a hard time explaining it to them.....

5. Also, this number, 7.17384, has an interesting point: when it is divided by π～φ, the result is almost 1.

In short, 
(π + 1 + √2 + φ) / (π × 1 × √2 × φ) ≒ 1

........ So what's that too?　

...Tanu-chan is in a bit of trouble if you ask me that.



Well, THIS is how I fantasize.
Could you get it?



Today's article had has nothing to do with astrology！
I'm sorry to anyone who read it!


Chao！



Tanu-chan💓   TOKYO-TANUKI💛

※　So Sorry！ I made a miscalculation! <(_ _)>

I edited it (July 23th).