Fractal Gosper Curve

fractall-systemgosper curveflowsnakehexagonal latticemathematicsvisualizationcetz

The Gosper curve (flowsnake) is a space-filling fractal on a hexagonal grid defined by the L-system A → A-B--B+A++AA+B-, B → +A-BB--B-A++A+B. The three panels show orders 1, 2, and 3, where each stage multiplies the complexity of the underlying hexagonal refinement.