term for a fractal shape generated by successively removing the
central section, at a smaller level on each iteration The one-
dimensional gasket is called the Cantor dust or the Cantor
ternary set (it's noded under the second name). The two-
dimensional gasket is called the Sierpinski triangle if
triangular, or the Sierpinski carpet if square, and either of
them can be called the Sierpinski gasket, because they look like
mechanical gaskets whether they're triangular or square, and
that's why I've chosen this as the general name. The three-
dimensional analogue is called the Menger sponge, though it is
equally possible to have a triangular one, which would then be
called a Menger pyramid, I suppose. I don't know of a general
term for higher-dimensional ones, but I've seen hypergasket,
which seems as good as any. The Cantor dust is formed by taking
a line segment, removing the middle third, leaving two separate
parts, then removing the middle third of each of those, leaving
four separate parts. Clearly as this pr