A convex polyhedron is a three-dimensional shape with flat polygonal faces, straight edges, and vertices. In a convex polyhedron, any line segment connecting two points inside the shape will lie entirely within it. Common examples include shapes like cubes and tetrahedra, which are made up of triangles, squares, or other polygons.
The study of convex polyhedra is an important part of geometry and can be related to topics such as Euler's formula, which connects the number of vertices, edges, and faces of a polyhedron. Convex polyhedra are also significant in fields like computer graphics and architecture, where they are used to create visually appealing structures.