Folding an Octahedron from Three Squares

① This example demonstrates how to construct a regular octahedron by folding three mutually perpendicular squares, visually illustrating the spatial transformation between a 2D net and a 3D polyhedron. ② Core mathematical concepts include the geometric properties of the octahedron, spatial rotation, symmetry, and the relationship between polygon folding and solid geometry. ③ Construction highlights: using GeoGebra commands such as Polygon, Point, Octahedron, Midpoint, Angle, and Rotate to create three squares, determine vertices, and rotate faces to form the octahedron; key objects include A, B, poly1, f, g, h, C, poly2, and faces like faceABJ, faceAJM, etc. ④ Suitable for upper secondary or early university students learning solid geometry, spatial reasoning, and dynamic geometry software, as well as for classroom demonstrations or exploratory activities.