Wednesday 27 October 2010

Flatland





I've read "Flatland" written by Edwin A. Abott in 1884.

I've been struggling to somehow visualise 4th dimensional world in 3rd dimensional way in terms of design, but always ended up facing with the aporia that 4th dimensional world is 4th dimensional world because it's beyond 3 dimensional perceptions.
There are some intersting insight about 4th dimensional cube saying the net of 4th dimensional cube must consist of 6 cubes, as the same way as 3D cube. But we hardly imagine how it would works.

In Flatland, the main character (square) had a hardship to understand 2nd dimensional representation of cube, since they don't have a sense of depth, or height (so there's no shadows) in Flatland. A drawing of cube is merely a hexagon for them.

In exactly the same way, it's difficult to visually understand how 4th dimension are, but in 'Thoughtland', as expressed in the book, we can grab a bit of conception of 4th dimension.


On the other hand, Some physicists say (forgot the title of book) the different factors are represented as different dimensions. For example, when you ride a bike, your body conducts 10 different movements. That means, there are 10 dimensions when you ride a bike.


If you think in that way, 4th dimension of objects can be extra 1 factor added to (x, y, z).

I randomly chose book to start thinking about this issue. Apparently, book is 3D object, consists of a pile of 2D papers (if you ignore the thickness of a piece of paper). If decided to add 'Frequency' as a different dimension (don't ask reasons). What's the frequency of a book? This is a part of my brains storming.

Frequency → waves of air → sounds → vinyl records
This get me imagine the utopia where people use noises instead of letters, to signify something.
It could be one of other possibility of human development in terms of many world interpretation, isn't it? (I know this isn't too logical, but wanna make it more fun to think about, for myself)

At this phase, I realised that 1 extra dimension wasn't frequency, but a history of books. We can't go other worlds even if many world interpretation was right. However, we can have an insight (not eyesight) into it.

I don't think it's too bad to take history as a dimension, because the time space is taken as 4th dimension in Relativity Theory.

No comments:

Post a Comment