Build Solids of Rotation: Generate Cone-Like Surfaces from Polygons

This example demonstrates how to construct and visualize solids of rotation in a dynamic geometry setting by using parameter-controlled points and polygonal profiles to generate rotation surfaces (e.g., cone-like surfaces and related rotational solids). Key mathematical ideas include solids of rotation, geometric construction, and surface generation from a defining cross-section or generating elements with adjustable parameters (such as a parameter t controlling points and shape). Construction highlights (from the provided construction summary) include the use of GeoGebra commands Polygon and Surface, where polygonal objects define the boundary/outline of the generating profile and Surface creates the 3D curved face. The object list indicates multiple defining points (A, B, C and others), parameter/measurement variables, and several text label objects (text1–text4) to annotate geometric relationships. Suitable for secondary school geometry, introductory 3D/solid geometry instruction, and interactive visualization practice.