4 Attachment(s)
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
Re: Snowflake, Christmas Decoration or Tessellation?
Quote:
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
Sorry, but this time I'll be too drunk or busy eating everything to even understand the challenge... Marry Christmas to everyone here!
Re: Snowflake, Christmas Decoration or Tessellation?
Marco, just make sure you try a Koch perimeter walk to get rid of the excesses.
Acorn
Re: Snowflake, Christmas Decoration or Tessellation?
I fear that won't still be enough... :D:D:D
1 Attachment(s)
Re: Snowflake, Christmas Decoration or Tessellation?
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...
Re: Snowflake, Christmas Decoration or Tessellation?
Re: Snowflake, Christmas Decoration or Tessellation?
Quote:
Originally Posted by
behzad
.
Is this a solution? Is it just stop? Did you zoom in and find the point?
Merry Xmas.
Acorn