ISTD : Flatland

Okey.
We started a typographic project based on the satirical novella by the English schoolmaster Edwin Abbott Abbott, called Flatland.
 http://en.wikipedia.org/wiki/Flatland  - information about the novella.
http://www.geom.uiuc.edu/~banchoff/Flatland/ - actually content.

The full name of the novella is "Flatland: A Romance of Many Dimensions"
The plot beautifully described on the Wikipedia, so, read the link.

We were asked to choose a chapter for analyse and think about the themes. I decided to pick 14th chapter, where the square (actually the main hero of novella) coming back from the journey to the other dimension and trying to describe the King of Lineland the other dimension. And, as the result, he finally got that it's impossible to explain, because the King doesn't want to understand.
The main idea for me was the narrowness of thinking, the impossibility of making different point of view.
And I tried to mix dimensions, type and narrow angles :)

Experiments:

That's how we see letter in 3D world. We have X Y Z coordinates. There are just X and Y in 2D world. And if we imagine that Z from 3D becomes X or Y in another Flatland we will see just the part of the letter (which was actually it's volume) but it will be still possible to recognize it.

And I started cutting out the first letter from "Flatland"

->

->

Difference between 2D and 3D letter

3D letter "F"

Cutted out

Then I got the cutted sides of the F letter and tryed diffirent variations.

F

3D goes 2D

So we can see just X and Y parts of the letter

Low-class party :) "..therefore, triangles, having only three sides, are at the bottom of the social ladder and are considered generally unintelligent.."

With shadow on the backgroung

2D letter based on the 3D

Shadows and transulent plastic

3F -> 3D

2D..

And shadows , which only exists in 3D world

I really like the reflections on the glossy surface of the heroes of the novella, which are actually 2D but the shining gives it depth. 

X flat F, Y flat F - Z 'shadowed' F. 3 letters - 3 dimensions.

X and Y "F" making a lovely shadow together

Oh, there! :)

If we imagine that one metal line is a Lineland, so two of them making Flatland, and the Flat universe must be something like this.