Editing Koch snowflake (section)

===Other properties===
The Koch snowflake is self-replicating <!-- (insert image here!) --> with six smaller copies surrounding one larger copy at the center. Hence, it is an irrep-7 irrep-tile (see [[Rep-tile]] for discussion).

The [[Hausdorff dimension]] of the Koch curve is <math>d = \tfrac{\ln 4}{\ln 3} \approx 1.26186</math>. This is greater than that of a line (<math>=1</math>) but less than that of [[Peano]]'s [[space-filling curve]] (<math>=2</math>).

The [[Hausdorff measure]] of the Koch curve <math>S</math> satisfies <math> 0.032 < \mathcal{H}^d(S) < 0.6 </math>, but its exact value is unknown. It is conjectured that <math> 0.528 < \mathcal{H}^d(S) < 0.590 </math>.
<ref>{{cite journal
 | last = Jia
 | first = Baoguo
 | title = Bounds of the Hausdorff measure of the Koch curve
 | journal = Applied Mathematics and Computation
 | volume = 190
 | issue = 1
 | pages = 559–565
 | date = 1 June 2007
 | doi = 10.1016/j.amc.2007.01.046
 | url = https://doi.org/10.1016/j.amc.2007.01.046
}}</ref>

It is impossible to draw a [[tangent line]] to any point of the curve.