Robert Fathauer (Snub cube)

Tessellated Snub Cube, printed paper

[38 F, 60 E, 24 V] This snub cube is decorated with a tessellation that has kaleidoscopic symmetry. The same motifs are distorted differently to fit the various square and triangular faces.

The snub cube is one of the Archimedean solids, polyhedra with regular polygon faces with the property that each vertex is identical and can be superimposed on any other vertex by rotating the shape. It and the analogous snub dodecahedron are the only two Archimedean solids that do not have mirror symmetry — in other words, they do not coincide with their mirror images as three-dimensional objects.

Robert Fathauer has been creating Escheresque and other tessellations for over 30 years. He is the author of the recent book “Tessellations: Mathematics, Art, and Recreation”.