Redefining Minds of Dimensions: A Reflection Paper
Flatland: the film is basically a movie about shapes living in a world called “flatland”. Flatland is a two-dimensional world that is populated by geometric shapes such as squares, hexagons, pentagons, rectangles, isosceles triangles, and circles. The main plot of the movie tells about the journey of the main character, known as A-square, who lives a typical life of an attorney, and his discovery of a third-dimension.
The first part of the film portrays the life of flatlanders, and how are their lives like in a two-dimensional plane. When I started watching the movie, I find it not easy to fathom how the characters exist in a world where everything is literally flat, where their movements are limited only to going forward, backward, left, right, and nothing more. Relating such nature into the real world, I couldn’t imagine moving along only seeing what’s in front and not what’s ahead. It’s hardly visible for each one of them to recognize who’s who because of the absence of height, which drove me even crazier.
As the story goes by, issues regarding civilization, democracy, inequalities, murder, etc. were depicted. I thought the film would mainly discuss topics in the context of politics and society until the end but it still turned out well to be mathematically inclined. So I haven’t taken many points on those anymore. Furthermore, the language used in the film was full of jargons. It made me understand that one’s configuration can be associated with its own identity.
The mathematical part of the film started to arise when A-square was visited by a mysterious being from the third dimension which is named A-sphere. A-sphere tried to convince A-square that a third dimension actually exists. However, even with the voluminous amount of proofs he has presented that he insists are true, A-square still regarded those as sort of some jokes, asserting that it’s all out of his experiences in the two-dimensional world. If I would put my feet inside a two-dimensional being’s shoes, not really literally but figuratively speaking, I’d probably deny it too and not believe them because of the nature of perception I used to believe.
When A-sphere brought A-square into the world of three dimensions where he can see everything in the world of two-dimensions from above, A-square then became wholly convinced of the existence of a third-dimensional world. With A-square’s creative intelligence, he was able to come up with a theory that four dimension is possible also. With these, I realized that in order for things to become plausible, one must testify by presenting strong evidences or by offering experiences first hand.
A-square’s understanding of the mysteries of three dimensions as well as his theory of existence of fourth and higher dimensions helped me conceptualize what fourth dimensional space looks like. It tested my imagination and gave me visions of a four-dimensional world as well as the existence of the non-existent’s.
The points in these scenes were mostly the sources of my clear understanding why there was emphasis on the journey of A-square, a two-dimensional creature, having a hard time thinking of the third dimension.
I don’t have much knowledge about dimensions before I knew about this film. However, I can’t deny that it was fascinatingly fun to watch. It required deep comprehension of watchers and its concept teaches something new to people. I’ve gained new perspectives in living through this. Perhaps, I’d never look at configuration of physical world the same way ever again.