Trisect a Cube into Three Congruent Pyramids

①This example demonstrates how to cut a cube into three congruent pyramids using specific planes, visually illustrating spatial partitioning and volume relationships. ②Core mathematical concepts include cubes, pyramids, congruent figures, volume trisection, and spatial geometry involving sections and rotations. ③Construction highlights: using GeoGebra commands such as Point, Cube, Pyramid, Circle, Rotate, and Angle, the cube's vertices (A, B, C, D, E, F, G, H) and six faces are constructed; then rotation and angle tools define cutting planes, generating three pyramids (e.g., faceADG_1, faceABG_1, etc.), with circles aiding in positioning. ④Suitable for middle/high school solid geometry lessons or introductory college geometry, helping students understand spatial decomposition and volume calculation, and can be used for dynamic cutting demonstrations.