Exploring other dimensions - Alex Rosenthal and George Zaidan
View full lesson: http://ed.ted.com/lessons/exploring-other-dimensions-alex-rosenthal-and-george-zaidan Imagine a two-dimensional world -- you, your friends, everything is 2D. In his 1884...
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We live in a three-dimensional world where everything has length, width, and height. But what if our world were two-dimensional? We would be squashed down to occupy a single plane of existence, geometrically speaking, of course. And what would that world look and feel like? This is the premise of Edwin Abbott's 1884 novella, Flatland. Flatland is a fun, mathematical thought experiment that follows the trials and tribulations of a square exposed to the third dimension. But what is a dimension, anyway? For our purposes, a dimension is a direction, which we can picture as a line. For our direction to be a dimension, it has to be at right angles to all other dimensions. So, a one-dimensional space is just a line. A two-dimensional space is defined ...
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We live in a three-dimensional world where everything has length, width, and height. But what if our world were two-dimensional? We would be squashed down to occupy a single plane of existence, geometrically speaking, of course. And what would that world look and feel like? This is the premise of Edwin Abbott's 1884 novella, Flatland. Flatland is a fun, mathematical thought experiment that follows the trials and tribulations of a square exposed to the third dimension. But what is a dimension, anyway? For our purposes, a dimension is a direction, which we can picture as a line. For our direction to be a dimension, it has to be at right angles to all other dimensions. So, a one-dimensional space is just a line. A two-dimensional space is defined ...
