The document lists and defines several basic geometric shapes including: the tetrahedron, octahedron, dodecahedron, icosahedron, and cube. It also outlines different types of geometric faces that shapes can have such as: triangular, quadrangular, pentagonal, and hexagonal faces. Finally, it discusses relationships between certain shapes like how a tetrahedron is made up of itself or how a cube and octahedron are related.