William Carroll

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But it’s not the fact that triangles take up half their box that matters. What matters is the beautiful idea of chopping it with the line, and how that might inspire other beautiful ideas and lead to creative breakthroughs in other problems—something a mere statement of fact can never give you. By removing the creative process and leaving only the results of that process, you virtually guarantee that no one will have any real engagement with the subject.
A Mathematician's Lament: How School Cheats Us Out of Our Most Fascinating and Imaginative Art Form
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