Editing Koch snowflake (section)

==Construction==
The Koch snowflake can be constructed by starting with an [[equilateral triangle]], then recursively altering each line segment as follows:
# divide the line segment into three segments of equal length.
# draw an equilateral triangle that has the middle segment from step 1 as its base and points outward.
# remove the line segment that is the base of the triangle from step 2.

The first [[iteration]] of this process produces the outline of a [[hexagram]].

The Koch snowflake is the limit approached as the above steps are followed indefinitely. The Koch curve originally described by [[Helge von Koch]] is constructed using only one of the three sides of the original triangle. In other words, three Koch curves make a Koch snowflake.

A Koch curve–based representation of a nominally flat surface can similarly be created by repeatedly segmenting each line in a sawtooth pattern of segments with a given angle.<ref>{{cite journal |last1=Alonso-Marroquin |first1=F. |last2=Huang |first2=P. |last3=Hanaor |first3=D. |last4=Flores-Johnson |first4=E. |last5=Proust |first5=G. |last6=Gan |first6=Y. |last7=Shen |first7=L. |title=Static friction between rigid fractal surfaces |journal=Physical Review E |year=2015 |volume=92 |issue=3 |pages=032405 |doi=10.1103/PhysRevE.92.032405 |pmid=26465480 |bibcode=2015PhRvE..92c2405A |hdl=2123/13835 |url=https://ses.library.usyd.edu.au/bitstream/2123/13835/2/F%20Alonso-Marroquin%202015%20Static%20friction%20between%20rigid%20fractal%20surfaces.pdf |hdl-access=free }} — Study of fractal surfaces using Koch curves.</ref> 
[[File:Koch rough surface.png|thumb|A fractal rough surface built from multiple Koch curve iterations]]