11 Nets of a Cube — Solid Geometry

This GeoGebra applet demonstrates the 11 distinct planar nets of a cube. Utilizing commands such as Cube, Net, and Sequence, it visually presents all possible ways to unfold the surface of a regular hexahedron into a 2D plane. This interactive or static visualization aids students in understanding the surface properties of polyhedra in solid geometry, enhancing spatial imagination and geometric intuition. Each net is constructed so that the six square faces of the cube lie flat on a single plane without overlap, revealing every topologically unique configuration. The applet allows learners to toggle between the different unfoldings, compare how individual nets map back to the assembled cube, and observe the relationship between 3D structure and its 2D representation. By manipulating the display, students can explore which arrangements fold successfully into a closed cube and which do not, deepening their grasp of connectivity, adjacency, and symmetry in polyhedral geometry. This makes the tool particularly valuable for middle school and high school geometry courses covering three-dimensional figures, surface area, and spatial reasoning.