Rhombicuboctahedron

The (small ) Rhombicuboctahedron is a polyhedron ( polyhedron ), which is among the Archimedean bodies. It is composed of eight equilateral triangles and 18 squares. Here, three squares and a triangle form a corner of the room.

Each 8 edges of Rhombenkuboktaeders form the edges of a regular octagon. There are six such independent, equilateral octagons in this polyhedron.

The name of the Rhombenkuboktaeders is based inter alia on the fact that 12 of the 18 squares are congruent to the 12 diamonds of a rhombic dodecahedron circumscribed. The Rhombicuboctahedron for dual body is the Deltoidalikositetraeder.

Formulas

Trivia

The Rhombicuboctahedron forms the main body of the Advent and Christmas star widespread Moravian star.

The National Library of Belarus is built in the shape of a Rhombenkuboktaeders.