dimanche 29 juillet 2007

Why 5?


Here 5 explains why 5 prefers 5!
1:
5 is mainly in contrast with 4, that is to say the rectangle, or the square. Nearly all the shapes you encounter in RL or in SL are rectangular or combinations of rectangles. This has a reason: these shapes fit easily together. 99% of beds, books, rooms, houses, buildings, windows, paintings.
Only some shapes, because of aerodynamics or movement through the water have very complicated elongated shapes, like airplanes, ships, propellers. But in the end the dominance of the rectangular becomes repetitive. Worse still, is the fact that this combining easily together is in
sharp contrast with the human. Humans don’t fit easily together. But that is what humans try nonetheless all the time. To work together, to live together, to go on holiday together. And then they are always surprised that it either is very difficult, or impossible to stay together. Why are they surprised? Is this because they are used to seeing all kinds of things combine easily, the rectangulars?
2:
So 5 looked for others shapes, and in particular a shape which isn’t too repetitive, so triangles, and hexagons were also banned, being able to fill the plane without holes. Beehives of course are hexagonal. Above hexagons the shapes with 7 9 or 11 and more sides quickly become very circular, or too close to a circle to be discernable. The pentagon has a very recognizable shape, very different from the square. And look at combinations of pentagons! Always different, leaving holes open, and all different combinations quickly show there own “character”.
3:
So geometry, this very logical branch of mathematics displays something strange: it already has something irregular in it’s logic. That’s interesting! The pentagon as a shape is extremely regular, and combinations of this shape are irregular. Isn’t this a bit like the human being? Following laws but also breaching them. Repetitive and creative. The human being must be like that, it is the mark bench of survival.
4:
Flowers are 70% of the time having 5 petals. Why is that? Well, there is no real why of course, but if starting from a center (the stem) and having to cover the plane, a very convenient way seems to be to split up in 5. But you see nature being very explorative and not obeying one strict law: flowers are coming in 3, 4, 5, 6, 7, double 5, triple 5, and even more complicated shapes like the flowers of orchids. Since we are surrounded by flowers, nobody can say that the pentagon is not known in nature! (Not to mention our hands, the five senses etc.)
5:
If you take a pentagon, and fit another to it, rotating it to have a common side, and repeat this process around a common axis, you get a spiral of pentagons with a nice property: is displays a sort of false perspective on cubes! Of course the pentagon cannot be seen isolated from the square and the hexagon; the five sided shape is just part of the enormous amount of possibilities. After having seen these ‘false’ cubes coming out of pentagons, 5 discovered the so called Penrose tiling. Penrose, a scientist, also played around with pentagons and discovered the false pentagons being able to cover the plane in a not repetitive way. The football is a combination of pentagons and hexagons, by the way?
Funny is that space is normally quite “square”, (called a vector space, after going 10 meters left and 10 meters to the right, you end up on the same spot as after 10 meters right and 10 to the left), but in the thoughts of Einstein, space became, “more than square”, that is to say, he needed a space being able to depart from this squareness, or needing a fifth side to connect left-right with right-left. So although for us small human beings square space is sufficient, the universe needs “more”.

Conclusion: the pentagon is a very interesting shape, being able to demonstrate what we need as human beings: very individual combinations and a lot of open air (the holes between the pentagons when combined) between us, to be able to establish a healthy and creative relation with other human beings!
In the DevShed can be found 3 simple ways to construct a pentagon in SL, (there must be 5!)
There are much more connections to the 5, like the golden ratio, Fibonacci, but well, you can find that yourself!



1 commentaire:

Anonyme a dit…

very nice explanation! swann