A rhombicuboctahedron is a three-dimensional polyhedron with 26 faces, consisting of 18 squares and 8 triangles. While the word rhombicuboctahedron may be a mouthful, there are a few synonyms that may be easier to remember. One synonym for this shape is a quarter-cubeoctahedron, as it is made up of four cubes and an octahedron. Another synonym is the vector equilibrium, as coined by Buckminster Fuller, who observed that it represented a stable state of tensional integrity. Finally, some refer to it as a trapezoidal hexecontahedron, as it has 62 faces with trapezoidal faces as opposed to squares and triangles.