Interactive Lab / The Sierpinski Arrowhead Curve

L-System Discovered Triangle: 1915 — this L-system form: 1970s Dimension log 3 / log 2 ≈ 1.585

The Sierpinski Arrowhead Curve

A→B−A−B,B→A+B+A,angle 60∘A \to B{-}A{-}B, \qquad B \to A{+}B{+}A, \qquad \text{angle } 60^\circ
★Cool Fact
The exact same triangle as Lab 2 — same shape, same dimension — but built by a completely different mechanism: not recursive subdivision, not the chaos game, but a single continuous L-system path that never crosses itself. Proof that “how you generate it” and “what it is” are genuinely different questions.

Rendering…

Read the full chapter on The Sierpinski Triangle →