convex polyhedra

A convex polyhedron is a three-dimensional shape made up of flat polygonal faces, straight edges, and vertices. Its key feature is that for any two points inside the shape, the straight line connecting them stays entirely inside the shape—meaning it has no indentations or inward curves. Examples include cubes, pyramids, and certain dodecahedrons. These shapes are "convex" because they have outward bulging surfaces without any dents or caves, making their interior always "bulge outward" rather than inward. They are fundamental in geometry, architecture, and related fields for their structural stability and symmetry.