When I was an undergraduate student in Chemistry, I was treated to an unforgettable lecture by Prof. Carl Trindel on symmetry in nature. Vi Hart's example takes this concept in a mathematical direction with depth, insight and beauty. Enjoy!
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This is one of my favorite examples of Vi Hart's creative, instructive doodling to teach mathematics.
In this case, the doodles are "binary trees." If you are not familiar with the concept, I am confident that you will be after this brief video!