η－3 60Stars Astrology Mini Appendix of Off Season 2～③ Let's make a 4x4 magic circle into 3D -"0-15" into Amateur 3D!

60stars astrology

English version

By Tokyo-Tanuki

60stars Astrology OFF-SEASON 2

η－3 60Stars Astrology Mini Appendix of Off Season 2

～③ Let's make a 4x4 magic circle into 3D

 -"0-15" into Amateur 3D!

1. Well, last time, in a 4x4 magic circle,

ω (common) = 0, 1, 14, 15
α (magic circle A) = 2, 3, 12, 13
β (magic circle B) = 4, 5, 10, 11
γ (magic circle C) = 6, 7, 8, 9

and we see that the numbers can be grouped as above.

2.  Now, let's make it three-dimensional.

By the way, I am sorry to keep repeating this, but what Tanu-chan is talking about is not a "magic cube," as mathematical experts call it.

Tanu-chan's magical cube is a three-dimensional version of a flat magic cube!

It is confusing, so please call it a Japanese raccoon  magical cube (JRMC)!" 

Or "amateur 3D" if you prefer.


Well, then, to make a 4x4 magical circle into a tanuki 3D, we do the following.

In short, I'll skip the detailed explanation,

Think of a dodecahedron with a plate ("shaft plate") in the middle.

Then, consider the characteristics of each of the 12 pentagons,

Pentagon divided in half by the shaft plate P         4-sided
A pentagon whose sides touch the shaft plate Q   4-sided
Pentagon not touching the shaft plate at all R       4-sided

The pentagon is divided into the following four planes.
Well, to put it simply

( Fig. 1 )

3. Let the shaft plate be S.

Then, S, P, Q, and R correspond to ω, α, β, and γ.

Then, if we put numbers on the surface faces of the dodecahedron,

"the numbers used will be 2 to 13?" Some might ask.

Of course, well, that's fine.


4.  But, well, simply put, the numbers on the dodecahedron are in duodecimal system.

So,

the numbers used are 0-11, with 12 going back to 0, 13 is 1,14　is 2,15 is 3.

Of course, if you wants to use 1-12, it is OK.

🌟　🌟　🌟

If we organize it one more time like this, the mate division is,
S (shaft plate) = ω (common) = 0, 1, 2, 3

For,
α (magic circle of A) = 2, 3, 0, 1
β (magic circle of B) = 4, 5, 10, 11
γ (magic circle in C) = 6, 7, 8, 9

So, 12 numbers from 0 to 11 correspond to the 12 faces outside properly.

Now, let's make it a raccoon-dog 3D magic circle from 4×4 magic circle, with the 12 sides properly numbered!

(Fig.2)

If we were to use only the numbers 0-11, 

the key point is that α = 2, 3, 0, 1 = ω. 

But it's not so easy when you try to draw a development diagram!

Here's just a imaginary rendering.

 

Sorry, but You're on your own, guys!

🌟　🌟　🌟　🌟

Tanu-chan has been writing the same story three times in a row.

I'm a little tired.

So, today is the end of this 4x4 magical raccoon dog cube's story.

...Well, it's all just my imagination on the train!

Tanu-chan is a humanities student, you know!

By the way, the reason why I am talking about these raccoon dog 3D magic cubes is to explain the star shapes (...gram) much later, but I am getting a little behind schedule.

At this pace, it looks like it will be next summer before we finish season 7.

I'll hurry up a bit !

Tanu-chan💓 TOKYO-TANUKKO💛