Results 1 to 3 of 3

Math Help - Fractal Construction

  1. #1
    Newbie
    Joined
    Mar 2010
    Posts
    5

    Fractal Construction

    I have a homework question (in bold) that asks:

    Give a method for the construction of a fractal dimension
    In 7

    In 4

    Show three steps in the construction of your fractal.


    I have tried different ways but have they have come inconclusive. Any Ideas? Thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member Deadstar's Avatar
    Joined
    Oct 2007
    Posts
    722
    Use koch snowflake as an example.

    The Koch curve has an infinite length because each time the steps above are performed on each line segment of the figure there are four times as many line segments, the length of each being one-third the length of the segments in the previous stage. Hence the total length increases by one third and thus the length at step n will be (4/3)n of the original triangle perimeter: the fractal dimension is log 4/log 3 ≈ 1.26.

    So for example you could create a fractal that creates 7 new line segments at each iteration with each new line segment being 1/4 the length of the original.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Mar 2010
    Posts
    5

    Thanks

    Thank you, that helped!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Fractal
    Posted in the Differential Geometry Forum
    Replies: 5
    Last Post: February 19th 2011, 03:56 AM
  2. Replies: 1
    Last Post: June 30th 2010, 04:26 PM
  3. fractal dimension of a set
    Posted in the Calculus Forum
    Replies: 0
    Last Post: May 19th 2010, 05:52 AM
  4. A fractal made with circles?
    Posted in the Geometry Forum
    Replies: 5
    Last Post: May 19th 2010, 12:20 AM
  5. Dimension of fractal
    Posted in the Advanced Math Topics Forum
    Replies: 2
    Last Post: April 5th 2010, 07:09 PM

Search Tags


/mathhelpforum @mathhelpforum