24 lines
717 B
Text
24 lines
717 B
Text
A [[wp:Barnsley_fern|Barnsley fern]] is a fractal named after British mathematician Michael Barnsley and can be created using an iterated function system (IFS).
|
||
|
||
|
||
;Task:
|
||
Create this fractal fern, using the following transformations:
|
||
* ƒ1 (chosen 1% of the time)
|
||
xn + 1 = 0
|
||
yn + 1 = 0.16 yn
|
||
|
||
* ƒ2 (chosen 85% of the time)
|
||
xn + 1 = 0.85 xn + 0.04 yn
|
||
yn + 1 = −0.04 xn + 0.85 yn + 1.6
|
||
|
||
* ƒ3 (chosen 7% of the time)
|
||
xn + 1 = 0.2 xn − 0.26 yn
|
||
yn + 1 = 0.23 xn + 0.22 yn + 1.6
|
||
|
||
* ƒ4 (chosen 7% of the time)
|
||
xn + 1 = −0.15 xn + 0.28 yn
|
||
yn + 1 = 0.26 xn + 0.24 yn + 0.44.
|
||
|
||
Starting position: x = 0, y = 0
|
||
<br><br>
|
||
|