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This article doesn't talk much about the Cantor set, which is a pity given how amazing it is. Maybe one of the most beautiful objects in all of mathematics: ht
by dannykwells 8y ago
This article doesn't talk much about the Cantor set, which is a pity given how amazing it is. Maybe one of the most beautiful objects in all of mathematics:
http://mathworld.wolfram.com/CantorSet.html http://mathworld.wolfram.com/CantorSet.html
A great, rare, example of a set with no length (0 measure) but an uncountable number of points.
- jorgenveisdal 8y agoDeep!
- antidesitter 8y agoAnother nice example is the fat Cantor set [1] which (like the Cantor set) is nowhere dense but (unlike the Cantor set) has positive measure! [1] https://en.wikipedia.org/wiki/Smith%E2%80%93Volterra%E2%80%93Cantor_set https://en.wikipedia.org/wiki/Smith%E2%80%93Volterra%E2%80%9...