In general usage, symmetry most often refers to mirror ... is invariant under glide reflection (a translation combined with a reflection). A helix made of tetrahedrons, if extended to infinity ...

That's the mathematical definition. The pattern that forms the Lumifold lamp is called a glide reflection. It relies on symmetry and repetition to make it work as a three dimensional object.

So sliding this pattern sideways just the right amount – let’s call that translation by one unit – is a symmetry of my pattern. The flip-and-slide motion is called a glide reflection ...

N-Rotation Point (a point with C_N symmetry) - indicated by the number N before any * Mirror Symmetry (a reflection) - indicated by a * M-Dihedral Symmetry Point (a point with D_M symmetry) - ...

The pattern that forms the Lumifold lamp is called a glide reflection. It relies on symmetry and repetition to make it work as a three-dimensional object. A glide reflection is made up of two ...