Snowflake, Christmas Decoration or Tessellation?

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:

Attachment 123011

As it is Christmas, here is my decoration:

Attachment 123012

And finally, here is my plane tessellation:

Attachment 123013

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:

Attachment 123014

Enjoy it without getting too gnarly.

Acorn

Quote:

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Originally Posted by 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:

Attachment 123011

As it is Christmas, here is my decoration:

Attachment 123012

And finally, here is my plane tessellation:

Attachment 123013

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:

Attachment 123014

Enjoy it without getting too gnarly.

Acorn

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Sorry, but this time I'll be too drunk or busy eating everything to even understand the challenge... Marry Christmas to everyone here!

Marco, just make sure you try a Koch perimeter walk to get rid of the excesses.

Acorn

I fear that won't still be enough... :D:D:D

Bye the way, here is my snowflake... feel free to zoom in. I've lost time of the iterations. :D :eek:

Attachment 123018

Sadly it has been resized to 800x930px...

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Quote:

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Originally Posted by behzad

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Is this a solution? Is it just stop? Did you zoom in and find the point?

Merry Xmas.

Acorn