tetrakaidecahedra

A tetrakaidecahedron is a polyhedron with 14 faces. The term is derived from the Greek words "tetra" meaning four, "kai" meaning and, and "deca" meaning ten, reflecting the total of 14 faces. Tetrakaidecahedra are a type of Archimedean solid, which are convex polyhedra with faces that are regular polygons and identical vertices. The most well-known tetrakaidecahedron is the truncated dodecahedron, which has 12 pentagonal faces and 20 hexagonal faces. This polyhedron is notable for its symmetrical properties and its appearance in various mathematical and artistic contexts. Other examples of tetrakaidecahedra include the truncated cuboctahedron, which has 8 hexagonal faces and 6 square faces. These polyhedra are studied in geometry and topology for their structural and aesthetic qualities.