Angle Bisector of Pyramid (Dihedral Angle Bisector)

This example demonstrates constructing the angle bisector plane of a dihedral angle in a triangular pyramid (tetrahedron), visually showing the position and properties of the bisector plane in 3D space. Core mathematical concepts include dihedral angles, angle bisector planes, faces and edges of a pyramid, and spatial relationships among points, lines, and planes. Construction highlights: using GeoGebra commands Point to create vertices E, A, B, C, D, Pyramid to build the tetrahedron, and AngularBisector to generate the bisector plane for a chosen dihedral angle (e.g., between faces ABC and ABD); involved objects include faces (faceABC, etc.), edges (edgeAB, etc.), and auxiliary object f. Suitable for high school or early college students learning solid geometry, spatial visualization, and 3D construction in GeoGebra, as well as for teachers demonstrating dynamic construction of dihedral angle bisectors in class.