Coordinate Plane: Theorems
Theorems sorted by beautiful vs. useful: FTC is both, Fermat's Last Theorem is beautiful but useless, the Four-Color Theorem is neither.
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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/2017-06-14-life-in-coordinate-planes--coordinate-plane-theorems/ (CC BY-NC 4.0)Transcript
Theorems: beautiful vs. useful. Beautiful and useful: Fundamental Theorem of Calculus, Fundamental Theorem of Algebra, Pythagorean Theorem. Beautiful, useless: Gödel's Incompleteness Theorem, divergence of the harmonic series, Fermat's Last Theorem, irrationality of √2. Useful, not beautiful: Central Limit Theorem, Triangle Inequality. Neither: Four-Color Theorem.