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Re:Gabriel's Horn by relicscattergun on Tuesday June 16, 2015 @08:07PM (#9729406)
I think Sierpinski's triangle may also be of interest here, which, contrastly, approaches zero surface area: http://en.wikipedia.org/wiki/Sierpinski_triangle
Re:Gabriel's Horn by gohrt on Wednesday June 17, 2015 @02:36AM (#9730335)
not constrast; it's analogous, in lower dimension.

Sponge has infinite area and 0 volume. Sierpinski's triangle has infinite perimiter and 0 area.