stackyFACTSCartographers have known it intuitively, but it took a supercomputer to prove it. You only ever need four distinct colors to completely fill in any flat division of regions without two matching borders touching. Any more colors is just incredibly unnecessary showing off.
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Topology aggressively insists that perfection is impossible. The 'hairy ball theorem' states that you cannot comb fibers flat against a continuous sphere…
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Taking the Mobius strip to an incredibly frustrating extreme, this topological nightmare seamlessly connects its interior completely to its exterior. If you…
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Take a ribbon, give it a half-twist, and tape the ends together. You have just destroyed the concept of top and bottom. If you trace a line along the surface,…
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To a topologist, a ceramic mug and a pastry are exactly the same thing because they both possess exactly one hole. Since topology only cares about continuous…
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John Venn decided that rigid academic logic simply wasn't visual enough for standard comprehension. He started drawing overlapping circles to forcefully…
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If you take a perfect cone and slice it straight across, you get a boring circle. But if you slice it at a slight slant, you expose an ellipse. This perfectly…
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