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ethmarkstoday at 1:32 AM2 repliesview on HN

> Note also that the triangle has infinite perimeter but finite area.

How common is this property in geometry? I know that fractals like the Koch Snowflake also have infinite perimeter over finite area, but I don't know what else does.


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IgorPartolatoday at 2:43 AM

Any function that infinitely slowly converges to a finite number will have this property. Discretely, think of 1/2 + 1/4 + 1/8 and so on. The sequence goes on forever but adds up to 1.

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nhinck2today at 1:56 AM

Gabriels Horn for another example.

Doesnt seem that uncommon.

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