Generate fractal

Expand a stored L-system and interpret its command string as an SVG turtle path.

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ToolFractal Generator
Input
Output
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Preview

How it works

At every depth, each symbol is replaced in parallel by the chosen production rule. A turtle draws on F, A, B, and G, turns on plus or minus, saves state at an opening bracket, restores it at a closing bracket, then scales all paths into the view box.

  • Depth begins at four and stops at six because production strings can grow exponentially.
  • Axiom, angle, and replacement rules are fixed for each named construction.

Worked example

Fourth-order Koch snowflake
Input
											Type: koch snowflake
Depth: 4
Output

When to use this

Graphics classes compare Koch iterations, L-system exercises inspect rewrite growth, and SVG demonstrations visualize branch stacks.

Edge cases

  • One extra iteration can multiply segment count rather than add a fixed number.
  • The Hausdorff-dimension mode prints stored notes and intentionally draws zero segments.
  • Branching examples retain a fixed segment length across generations, so they are illustrative rather than botanically calibrated.

References