Results 1 to 2 of 2

Thread: fern fractal?

  1. #1
    Guest
    can someone give me the algorithm to generate the fern fractal please?

    I know how to do the sierpinski triangle, by selecting one of three corners at random and then halving the distance from the previous point, but how is the fern done?

    Thanks.

  2. #2
    Frenzied Member
    Join Date
    Jul 1999
    Location
    Huntingdon Valley, PA 19006
    Posts
    1,151

    Fern Fractal, maybe

    Not sure if this is what you are looking for, but perhaps.

    There is a Fractal which starts with an equilateral triangle. Construct an equilateral triangle on the middle of each side. This results in a six-pointed star. Then construct an equilateral triangle on the middle of each side of the star. At each stage, construct an equilateral triangle on each side of the current figure.

    I have seen this start with a line 3 units long instead of an equilateral triangle. In this case, construct three equilateral triangles on the line (or one on the middle segment). Then continue like the above, constructing an equilateral triangle on each line segment of the current figure, but do not construct anything below the original line. This construction looks a little bit like 3 ferns without stems. Depending on how you start, there are 3 equal ferns or a middle fern with a smaller one on each side.

    Hope this is something you can use.
    Live long & prosper.

    The Dinosaur from prehistoric era prior to computers.

    Eschew obfuscation!
    If a billion people believe a foolish idea, it is still a foolish idea!
    VB.net 2010 Express
    64Bit & 32Bit Windows 7 & Windows XP. I run 4 operating systems on a single PC.

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •  



Click Here to Expand Forum to Full Width