Snowflake, Christmas Decoration or Tessellation?

[Acorn]

Don't spend too much time on this Challenge as "It's Christmas!".

Challenge - Starting with an equilateral triangle, can you accurately recreate a Xara-solution to drawing the Koch Snowflake?
Answer - no-one can as it is infinitely recursive.

Here is my Snowflake:



As it is Christmas, here is my decoration:



And finally, here is my plane tessellation:



To be clear, I want a set of steps allowing up to a fifth recursion.
Each recursion simply involves replace the middle third of any current straight line with a path that adds two sides of a (one-third) smaller equilateral triangle:



Enjoy it without getting too gnarly.

Acorn