The rhombic triacontahedron is a polyhedron with 30 faces, each of which is a rhombus. Some synonyms for this geometric shape include the thirty-faced polyhedron, the rhombic icosahedron, and the triakisoctahedron. Its Latin name, given by Johannes Kepler, is "triaconthexahedron rhombicum," which translates to "diamond-like thirty-faced solid." Other related terms include the rhombic dodecahedron, a polyhedron with 12 rhombus-shaped faces, and the rhombic tricontahedron, which has icosahedral symmetry and 60 faces, each of which is a rhombus. The rhombic triacontahedron has many applications in the field of crystallography and is also popular among puzzles and toy enthusiasts.