What is a fractal?
It’s an object possessing the property of proper self-similarity
i.e. there is a part of an object (A1) which is similar to a proper part of an object (A2)
What is the Sierpinski Triangle?
- a fractal
- created by starting with an equilateral triangle and recursively removing smaller equilateral triangles from its center
What is the rule of the Sierpinski Triangle?
Using an equilateral triangle, divide into four equilateral triangles and then remove the center triangle.
- for each subsequent triangle, repeat the same steps, resulting in smaller and smaller triangles
What is the rule for the Sierpinski carpet fractal?
Using a square, draw a 3x3 grid and then remove the center square.
- repeat the same steps for each subsequent square
What is the rule for the Cross Vicsek fractal?
Using a square, draw a 3x3 grid and then remove all four corner squares.
- repeat the same steps for each subsequent square
What is the rule for the Anticross Vicsek fractal?
Using a square, draw a 3x3 grid and then remove all four center squares from the perimeter.
- repeat the same steps for each subsequent square
What is the rule for the Cantor Dust fractal?
Using a square, draw a 3x3 grid and then remove all squares EXCEPT the four corner squares.
- repeat the same steps for each subsequent square
What is the rule for the Koch Snowflake fractal?
Using a triangle, split each edge/segment into 3 equal parts and build an equilateral triangle on the center segment, remove the base of each triangle
- repeat the same steps for each segment
What is the rule for the tree fractal?
Using a vertical line, branch the upper part of the segment into two parts (60° on both sides of the trunk)
- repeat the steps on every new segment
What is the rule for the dragon fractal?
What is the rule for the Mandelbrot set?
