One of the archimedean solids
, the snub cube is defined by vertices
containing one square
and four equilateral triangle
s each. The resulting solid has six square faces separated by 32 triangular faces. The square faces are parallel to the faces of a cube
, and do not touch. Eight of the triangular faces touch three different squares at their corners, and the remaining 24 touch one square at a corner and another square along an edge.
Oddly enough, given the uniform manner in which it is constructed, the snub cubes it lacks bilateral symmetry, and comes in distinct left-handed and right-handed forms. The only other archimedean solid with this property is the snub dodecahedron.