3D Geometric Modeling of a Chinese Paper Lantern

This example uses GeoGebra's 3D tools to construct a traditional Chinese paper lantern model. Using commands like Point, Circle, Rotate, Intersect, and Sphere, it demonstrates generating the lantern's framework via solids of revolution and geometric transformations. It intuitively illustrates surfaces of revolution in solid geometry, ideal for 3D spatial construction and surface modeling education. Students can manipulate individual points and curves to see how rotating a profile curve around an axis produces the curved body of the lantern, deepening their understanding of rotational surfaces. The applet also showcases how geometric transformations such as scaling and intersection operations combine to form complex three-dimensional structures from simple one- and two-dimensional elements. By exploring this model, learners gain hands-on experience with spatial reasoning, visualizing cross-sections, and connecting algebraic definitions with geometric intuition in three dimensions. The lantern design further connects mathematics to cultural heritage, offering an engaging real-world context that motivates students to explore the beauty of geometry in everyday objects.