Editing Peano curve (section)

==Variants==
[[File:Peano Sierpinski carpet 4.svg|200px|thumb|Peano curve with the middle line erased creates a [[Sierpinski carpet]]]]

In the definition of the Peano curve, it is possible to perform some or all of the steps by making the centers of each row of three squares be contiguous, rather than the centers of each column of squares. These choices lead to many different variants of the Peano curve.<ref name="bader"/>

A "multiple radix" variant of this curve with different numbers of subdivisions in different directions can be used to fill rectangles of arbitrary shapes.<ref>{{citation|last1=Cole|first1=A. J.|title=Halftoning without dither or edge enhancement|journal=The Visual Computer|date=September 1991|volume=7|issue=5|pages=235–238|doi=10.1007/BF01905689}}</ref>

The [[Hilbert curve]] is a simpler variant of the same idea, based on subdividing squares into four equal smaller squares instead of into nine equal smaller squares.