Fractals

"Fractals" is like string replace in 2D.

Initialisation

A fractal is composed of "#" and ".". We have a replacement pattern for each symbol. Here we chose to replace each "#" by :

##
#.

And each "." by :

..
..

Iterations

We begin with a simple "#" :

#

(that's our iteration 0)

For each iteration, we replace the characters by the corresponding pattern, so our first iteration will be :

##
#.

(Because we replaced the single "#" by it's pattern)

Our second iteration will be :

              ##  ##                 ####
##            #.  #.                 #.#.
#.     ->                 ->         ##..
              ##  ..                 #...
              #.  ..

With more iterations we can obtain something like this :

################
#.#.#.#.#.#.#.#.
##..##..##..##..
#...#...#...#...
####....####....
#.#.....#.#.....
##......##......
#.......#.......
########........
#.#.#.#.........
##..##..........
#...#...........
####............
#.#.............
##..............
#...............

How to use ?

• Compile via makefile

make

• Run program

./fractals <n iter> <pattern for "#"> <pattern for ".">

You must use "@" as linebreak in the patterns.

You can use rectangle patterns.

But all lines must have the same length and the two patterns must have the same dimensions.