Dimensional analysis is awesome, but human brains are depressingly easy to distract with number-crunching.
-Links for the Curious-
Randall Monroe’s “what if?” blog – what-if.xkcd.com/
A simplified version of Maxwell’s dimensional analysis of the speed of light – www.math.ucdavis.edu/~temple/MAT22C/LecturesMat22CW15/10-MaxwellAndStokes-22C-W15.pdf
A history of units & dimensional analysis – people.eecs.berkeley.edu/~joschu/docs/history-of-units.pdf
Sources of Mathematical Thinking, Dehaene et. al. 1999 – www.cecm.sfu.ca/~jborwein/mathbrain.pdf
Summary of the paper from MIT news – news.mit.edu/1999/math-0512