Flatland: A Romance of Many Dimensions

flatland ile ilgili görsel sonucu      This week I had a chance to read a book called Flatlan: A Romance of Many Dimensions written by Edwin A. Abbot, first published in 1884.

The book is thouched upon the relation between the different dimensions. The story has mostly set in 2 dimensional world which is created by the author called Flatland. Citizens of Flatland are geometrical shapes. Moreover, these geometrical shapes characterized by a certain hierarchy and they are set according to their financial situation. The shapes that have higher number of the corners have more nobility than the others.  For instance, isosceles triangles are soldiers, squares are businessmen, circles are the highest level such as priests and politicians. So that, it is obvious that the book is emphasizing the discrimination of people. Futhermore, the contorversial point is the women showed with the lines. Because women in the book have the less nobility and the worse financial situation. Even though, the book is telling about the two dimensional book, it bears the traces of the real three dimensional world issues.

Another point that has arroused my attention was that the all shapes could see eachothers as a straight line. Because they live in a two dimensional world so that they could see only their one edge.

The main character and the teller of the story is a square. One night he dreams that he visits the one dimensional world caled Lineland. In Lineland, only dots and lines are living. He meets with the tells them about two dimensional world and its features. However, they dont believe him because they live in a one dimensional world so it is hard to believe in two dimensional one for them. And try to kill this strange man. So he turns back to his own world. When he turns back his hexagon grandson tells his idea about three dimensional world. He alleges that if two dimensional squares come together they can form a three dimensional cube and three dimensional world exists. However, square does not believe in him. And then, a sphere from three dimensional world visits them. The sphere tries to tell about the three dimesnional world but they dont believe him so they try to kill him. But, sphere takes square to the his own world to show him the three dimension. Square couldnt believe in his eyes. He literally loves the three dimension and doesnt want to turn back to two dimension. However, because of that two dimension starts a war against three dimension. Because of the war square needed turn back to his own world. And they lock him down to the jail. As a conclusion, he claims that the fourth dimension exists.

I think thats what the author is trying to claim. He is trying to defend that the fourth dimension exists. However, we can not experience them as three dimensions but fourth dimension can experience us. Like in the book, two dimensions can easily experience the one dimensional but one dimensions cannot experience the higher dimensions.


Experiencing the Horizontal Surfaces in Erimtan Museum

     For the first assignment of the new semester, the instructors assigned us to visit Erimtan Archeology and Arts Museum and the surrounding area. We were expected to examine how the bodily experiences are related with the horizontal surfaces. Initially, we started it by measuring the heights of our body while standing, sitting, raising our arms, looking to the upwards and downwards and etc. And then we started our discovery with these informations. First, we realised that those art pieces were situated according to our eye level and  related with their heights. Because some of them was directly at our eye level, however, some of them was situated as we can observe it by looking downwards because their own heights were bigger than the others.

     The other thing that we have discovered is the orientation. We discovered that the art pieces were leading us from one point to another and the ending point was the start of a new directions. This was designed as the architect wanted us to cruise around al the art pieces.

     We tried to show these informations in our model. The elevation of the units represents how we observe art pieces. For instance, the units which are composed of 15 planes shows the eye level. The lower units show that it was under eye level.

For the next step, we were expected to discover how horizontal surfaces can shape and orient human bodily experiences and how such experiences can relate to each other and such relationships can be shaped and oriented. So that, we tried to produce variations of experiments by changing one parameter. For the first couple, we changed the shape of the floor so that we could discover what changed accoring to the alter of the horizontal surfaces.


     For the second group of models, we introduced 3 keywords that we had focused on. These are density, speed, duration. We discovered that the density changes according to the shape of the hoizontal surfaces. So that, we studied that the change of of the variable density effects how constants of duration and speed of movements. And then we showed speed with the height of the vertical pieces. And the closeness of the pieces shows us the duration of the movements. For instance, in the narrow horizontal surfaces, density increases. The increase of the density influences the speed and duration as well. The speed decreases and duration increases with density.