Space Filling Curve
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This example demonstrates the construction and properties of a space filling curve, illustrating how iterative processes can generate continuous curves that fill a space. Core mathematical concepts include fractal geometry, geometric transformations, fractions, binomial distribution, surfaces, translation, and random variables. The construction utilizes GeoGebra commands such as Intersect, Polygon, and PolyLine, along with objects like A, B, poly1, f, g, h, i, C, D, E, j, l1, l2, l3, l4, l5, l6, a, and l7. It is suitable for high school and above students studying the intersection of fractal geometry and spatial geometry.
GeoGebra Commands & Parameters
Intersect(xAxis, yAxis) → APolygon(A, B, 4) → poly1, f, g, h, i, C, DPolyLine(A, E, B) → j