Square Drag Test: Interactive Geometry and Rational Numbers

①This example presents an interactive square drag test where users can move vertices to observe how the square's shape and size change dynamically, linking visual geometry with numerical concepts. ②Core mathematical concepts include properties of squares, rational and irrational numbers, fractal geometry, equilateral triangles, straight lines, and quadratic functions, fostering connections between algebra and geometry. ③Construction details: although no explicit GeoGebra commands are provided, the tags suggest use of polygon tools to create the square, draggable points or sliders for vertex manipulation, and possibly line or function commands to draw auxiliary elements or generate fractal patterns. ④Target audience: high school to early college students, suitable for classroom demonstrations on geometric transformations, exploring density of rational numbers, or introducing fractal geometry through interactive exploration.