> 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.
Gabriels Horn for another example.
Doesnt seem that uncommon.
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.