Edwin A Abbot's Flatland: A Romance of Many Dimensions was able to help me explore a different way of thinking about space and dimensionality. One of the dualities I am choosing to explore this semester is 2D~3D. Breaking away from the standard understanding and vision of the world will be helpful in understanding how to incorporate 2D~3D into a both~and condition.
The book is written from the point of view of a square who lives in "Flatland," a world of two dimensions. All objects and "people" have length and width but no height. The Flatland citizens have developed way to identify and classify objects and "people" in their world despite only being able to see lines and points. They have no concept of up or down as their world only exists in a flat plane. The square dreams and goes on adventures to "Lineland" (one dimension) and "Spaceland" (three dimensions.) Through these adventures he learns about how other worlds have dealt with their limitations.
Carl Sagan also explains the world in this way (video.)
I was not sure how I was going to approach the 2D~3D duality. I had thought about understanding the process of drawing to building however, this explanation seems to have more of an impact and will be able to help be applied to a variety of projects.
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why is 2D and 3D a duality? What happened to 1D and higher dimensional spaces? One of the hint of Flatland is the existence of 4D objects and how they'd be viewed by 3D creatures, so dimensionality should never be seen as Either/Or nor Both/And. So really not sure how you relate boolean logic to spatial dimensions.
ReplyDeleteOriginally I was looking into the both~and condition of 2D and 3D through the Lorenz Attractor being a type of dimensionality that falls in between 2D & 3D. However, when given all of the possible dimensions it probably is not a true duality. I am open to changing the dualities I am exploring. I am currently trying to just understand more generic both~and conditions and through those explorations certain dualities may emerge as better vehicles than others.
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