Cuboctahedron on a Sphere: Visualizing 12 Vertices

This GeoGebra example demonstrates the cuboctahedron (Cuboctahedron) by constructing and visualizing its 12 vertices in a spherical setting, highlighting the spatial distribution and the structure of its faces. Key concepts include solid geometry, uniform polyhedra/semiregular polyhedra, vertex configuration, and the relationship between spherical display and polygonal face elements (triangles and squares). The construction uses Sphere to create the reference sphere, Points00 and related objects to generate/position the vertex set, and Segments to connect vertices and form the visible edges. Labeling and reporting are implemented with Text, TableText, and Sum to display vertex identifiers and supporting values. The final scene relies on objects such as button controls (button7, button2) for interaction, a triangle marker Δ for face/structure indication, and multiple vertex/edge objects (e.g., ll1bb, bo1–bo10, etc.) to complete the wireframe/label view. Suitable for high school to early university learners, as well as for math visualization and geometry modeling practice.