Tessellation Symmetry:
Triangles, rotated and flipped
Group pgg  /  Heesch CGG  /  IH 86  /  Mohr tri 4 flip

This symmetry combines rotation and glide reflection to show tiles in four orientations. Adjacent tiles are flipped along the glide-reflected edges and rotated along the other edge, while the rose-colored tiles are both rotated and flipped.

The base triangle is isosceles, since its glide-reflected edges always have the same length.

Few artists have made tessellations with this symmetry—maybe you’ll create one?

  
“Figure 5 (birds)” by Andrew Crompton   (visit)

This symmetry combines rotation and glide reflection to show tiles in four orientations. Adjacent tiles are flipped along the glide-reflected edges and rotated along the other edge, while the rose-colored tiles are both rotated and flipped.

The base triangle is isosceles, since its glide-reflected edges always have the same length.

Few artists have made tessellations with this symmetry—maybe you’ll create one?

Art with this symmetry on artist sites: