A fractal curve created from the base curve and motif illustrated above (Lauwerier 1991, p. 37).
As illustrated above, the number of segments after the
th iteration is
 |
(1)
|
and the length of each segment is given by
 |
(2)
|
so the capacity dimension is
(Mandelbrot 1983, p. 48).
The term Minkowski sausage is also used to refer to the Minkowski cover of a curve.