Monday, 29 July 2019

Dimensions and Exponent Laws

OLD DRAFT POST FROM 2017 that NEVER GOT POSTED

Some of you asked how I was able to spiral in algebra at so many times - and I completely forgot to share this with you.  I show a cartoon version of Carl Sagan's Flatlands to anecdotally show the difference between a point (constant), a length (x), a square (x^2), and a cube (x^3).  The video is thought provoking that we often get into discussions involving what the 4th dimension would look like. Having a discussion about ghosts, God, or whatever supernatural things...is what x^4 implies. For those that are super interested (usually my academic students) I usually point them to an xkcd and this discussion can really go on.  


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