166 60 Stars Astrology Season 7 Appendix 2: What is the complexity of figures and polygons ?

60stars astrology

English version

By Tokyo-Tanuki

60stars Astrology Season 7

166　60 Stars Astrology Season 7 Appendix 2: What is the complexity of figures ＆ polygons ?

1.  Now, there is a bit of a problem with the order of the story, but I think if I go on too long, everyone will get confused, so I'll talk briefly.

I mentioned a long time ago that aspect is the angle of a regular polyhedron when viewed from its vertex to divide the circle of the celestial sphere, and today's article is related to that.

2.  When you think about why there are strong and weak aspects, you probably assume that the aspect is more effective when the circumference is divided by a more simple solid.

..... That is true.

That is why the aspect when the celestial sphere is divided by a tetrahedron (120°) is more powerful than the aspect when divided by a hexahedron (60°).

Well, of course I don't know the fundamental reasons.

3. However, it seems that, for example, the aspect (90°) when divided by an octahedron is more powerful than the aspect (60°) when divided by a regular hexahedron, where the octahedron (8-gon) with more faces (square) is more powerful than the regular hexahedron (6-gon) with fewer faces (sextile).

Why is this?

　


4. The answer to this is that the octahedron(8-gon) is simpler than the hexahedron(6-gon).

Simply put, an octahedron consists of a square and 2 dots, while a hexahedron consists of a square and 4 dots.

In this sense, the octahedron is simpler in shape, so the angles (squares) of the octahedron are stronger than the angles (sextiles) of the hexahedron.

You can basically tell which shape is simpler by the number of ridges and diagonals.

For example, which is more complex: a pentagon or a pentahedron?

A pentagon has five sides and five diagonals, for a total of 10

A pentahedron (pyramid) has 8 sides and 2 diagonals, for a total of 10

Oh... they're the same. ....

5.  ...Anyway, when considering a regular polyhedron, the problem is which side of the original polygon to put the vertices on.

If you put two vertices on opposite sides of the polygon, the number of faces will increase.

Also, when you put a point parallel to a face, the number of sides of the polygon may increases.



So, for example, suppose we add two points A and B to a square,

If we put both points on the same side, we get a pentahedron.

If we put two points AB on opposite sides of the square, we get an octahedron.

If we put both A・B parallel to the face of the square, we do not have a solid, but a plane ３gon～６gon.



...Now, what happens if we don't add any points to the square and fold the edges slightly to make five vertices?

Well, this is what we have to keep in mind is whether it's a plane figure or a three-dimensional figure, whether the structure of it is simple or not, what is the original shape, and so on!　

So, we need to look at it from various perspectives!




........ Today's article was a bit boring, wasn't it!




That's all for today💛





Tanu-chan💓 TOKYO-TANUKI💛