The larger moon shown, Saturn’s largest, is Titan, recognizable by its hazy atmosphere. The smaller one, which looks more like our own moon, is Rhea.

This image was captured by the Cassini spacecraft, which has been investigating the Saturnian system now for years.

Projecting the images onto the faces of a rhombic dodecahedron was done with Stella 4d, software you may try for free at http://www.software3d.com/stella.php.