4 ms·

Also check out the Menger sponge, which has infinite surface area and zero volume: http://en.m.wikipedia.org/wiki/Menger_sponge http://en.m.wikipedia.org/wiki/M

• wz1000 11y ago
  Non-mobile: https://en.wikipedia.org/wiki/Menger_sponge https://en.wikipedia.org/wiki/Menger_sponge
• darkmighty 11y ago
  Or equivalently any object with a fractal dimension between 2 and 3.
• mturmon 11y ago
  You can do the first few levels with business cards: http://theiff.org/oexhibits/menger02.html http://theiff.org/oexhibits/menger02.html As you go to higher levels, that "infinite surface area" thing starts to become difficult to manage. ;-)
• relicscattergun 11y ago
  I think Sierpinski's triangle may also be of interest here, which, contrastly, approaches zero surface area: http://en.wikipedia.org/wiki/Sierpinski_triangle http://en.wikipedia.org/wiki/Sierpinski_triangle
  • gohrt 11y ago
    not constrast; it's analogous, in lower dimension. Sponge has infinite area and 0 volume. Sierpinski's triangle has infinite perimiter and 0 area.