Square Antiprism with 8 Vertices — GeoGebra 3D Construction

This example demonstrates a 3D square antiprism: two congruent squares are positioned in parallel planes with a relative rotation (or offset), and corresponding vertices are connected to form the characteristic antiprism lateral faces. The key mathematics involves solid geometry of polyhedra, vertex–edge–face relationships, and symmetry/consistent spacing when constructing a structured 8-vertex body. Construction is organized using GeoGebra commands such as Sphere (to define a spherical/3D spatial reference or constraint for vertex placement), Points00 and Segments (to create the vertices and draw the polyhedron edges), Sum and Zip (to combine/pack vertex sets and systematically process the connections), and TableText/Text together with UnicodeToLetter (to label vertices/parameters clearly in the interface). The result is an interactive, labeled visualization suitable for teaching geometric construction, spatial reasoning, and polyhedral structure from high school through undergraduate geometry/pre-modeling practice.