Good vs. Great Mathematician: Understanding vs. Passing It Along
A good mathematician understands how to take roots of complex numbers. A great one can share that understanding, so everyone sees the picture: halve the angle.
Transcript
[1] "A good mathematician can achieve understanding." [One person thinks about De Moivre's formula for roots of complex numbers; two others look confused] [2] "A great mathematician can pass it along." [All three share a picture: 90°→45°, 450°→225°]
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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.
Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2018-09-18-good-vs-great-mathematician-understanding-vs-passing-it-along/ (CC BY-NC 4.0)