Cube Cross Section Interactive Demo

①This GeoGebra example demonstrates how a plane cuts through a cube, producing a polygonal cross-section whose shape changes as the plane is rotated or translated in 3D space. ②Core mathematical concepts include solid geometry, intersection of a plane with polyhedra, symmetry, and combinatorial possibilities for the number of sides of the cross-section (triangle, quadrilateral, pentagon, hexagon). ③Construction highlights: the Cube command builds the cube; Intersect and IntersectPath compute intersection points and the section path; Rotate and Translate control the cutting plane's orientation and position; Point marks vertices (I, J, K, L, M, N) of the section. ④Suitable for high school or early college students learning spatial geometry, and for teachers demonstrating dynamic cross-sections with slider-based exploration.