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- An example of the coastline paradox. If the coastline of Great Britain is measured using units long, then the length of the coastline is approximately . With units, the total length is approximately , approximately longer. (en)
- This Sierpiński curve , which repeats the same pattern on a smaller and smaller scale, continues to increase in length. If understood to iterate within an infinitely subdivisible geometric space, its length tends to infinity. At the same time, the area enclosed by the curve does converge to a precise figure—just as, analogously, the area of an island can be calculated more easily than the length of its coastline. (en)
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