Recursion•Mathematical Patterns•Intermediate
Koch Snowflake
Discover how simple recursive rules create complex geometric patterns with infinite perimeter but finite area.
Koch Snowflake
Iterations: 0
Zoom Level: 100%
Line Segments: 3
Introduction to Koch Snowflake
The Koch Snowflake is a fractal curve that demonstrates how simple recursive rules can create infinitely complex shapes. Starting with a triangle, each line is divided into four parts using a simple pattern.
Key Properties
Perimeter Growth
Increases by factor of 4/3 each iteration
Area Convergence
Approaches 8/5 times the original triangle
Fractal Dimension
Approximately 1.262