Kowalewski colored the rhombic dodecahedron with three or four colors.
Coloring with three colors consists of dividing the 12 faces of the solid into three groups. A group consists of four faces that are either parallel or perpendicular to each other.
The solid can be covered by four bands, each consisting of six faces. Each face of the solid is common to two bands. Bands are colored by different colors and arranged with crossings going alternately over and under.
The solid is represented with a map projection into 2D or as a 3D solid; you can choose the colors for the faces.