Posted:

**Sep 29, 2016 11:19 pm**igorfrankensteen wrote:I'm not seeing the "space filling." Rather misleading title, whot?

They are called space filling because as length increases with each iteration, the area they fill remains constant and when taken to infinite iterations occupies all points within that space.

You can also say that they completely fill space in a finite number of iterations where space is quantized. Like a sheet of graph paper where you fill in every single square in the sheet while following the curve.