Fractal
A fractal is a shape with repeated structure. When you look closer, smaller parts often remind you of the whole shape.
Genius Littles math lab
Fractal Explorer: Discover Patterns That Repeat
Explore each fractal by repeating a simple rule again and again. Build and animate three famous fractal patterns while noticing how tiny parts echo the whole picture.
Iteration
An iteration is one round of repeating a rule. More iterations usually add more detail.
Self-similarity
Self-similarity means a small part looks like a mini version, echo, or cousin of the bigger pattern.
Sierpiński Triangle
Iteration 0Each step removes the middle from every filled triangle, leaving three smaller triangles behind.
Koch Snowflake
Iteration 0Each side is replaced by four smaller sides that make a little triangular bump.
Fractal Tree
Iteration 0Every branch grows two smaller branches. Change the angle or ratio to reshape the tree.