Many years ago, I came across a number of what I think of as stange and incongruous geometric aberrations, of which the Menger Sponge is one (along with the Koch Snowflake). The Menger Sponge simultaneously exhibits an infinite surface area and encloses zero volume.
This is not it (although strictly speaking it is - but only where the process of making it has been iterated no times ... I think).
In Origami, there are allot of people who seem to be obsessed with making the Menger Sponge (to about a third iteration). Which is why, after building "the Cube" I found myself being dragged into a world of fractals and paper chaos.
Luckily, just as I was about to be trapped, I dozed off.