Tetrahedron (4 vertices) with Sphere-based 3D Geometry Visualization

This example demonstrates a 3D tetrahedron defined by four vertices and visualizes how its spatial structure can be studied together with a surrounding sphere (sphere/spherical constraint) for clearer geometric interpretation. Key concepts include solid geometry (tetrahedron), vertices and edges (segments connecting points), spatial point relationships, and representing a geometric condition via a sphere (outer-sphere intuition or sphere-based reference). Construction-wise, it uses UnicodeToLetter and Text for vertex/parameter labeling; creates the four vertices (e.g., Points00 with supporting point objects) and connects them using Segments (including objects like bueseg); builds the sphere using Sphere along with related sphere-control objects; and employs TableText, Sum, and Zip to organize and display computed or indexed information such as vertex labels/values in tables. Suitable for high school through early college students, classroom demonstrations of spatial geometry, and practice with GeoGebra 3D geometric construction.