Introduction : What is a repeat pattern and what is not?
Repetition, elements, motifs and meta-motifs ; Cells and tiles ; Letterforms as elements
Creating your own elements
Zero, one and two dimensions explained
The four basic symmetry operations : Rotation symmetry ; Translation symmetry ; Reflection symmetry ; Glide reflection symmetry
Linear symmetry : Translation ; Translation + vertical reflection ; Translation + 180-degree rotation ; Translation + glide reflection ; Horizontal reflection ; Vertical reflection + translation + horizontal reflection + 180-degree rotation
Translation + vertical reflection + 180-degree rotation + vertical reflection
Planar symmetry : Translation ; Glide reflection ; Double reflection ; Reflection + parallel glide reflection ; 180-degree rotation ; Reflection + perpendicular glide reflection ; Two perpendicular glide reflections ; 90-degree reflections around a point ; Reflection + rotation + reflection + perpendicular reflection ; Three 120-degree rotations ; Reflections in an equilateral triangle ; Reflections of 120-degree rotations ; 90-degree rotations ; Reflections of 90-degree rotations ; Reflections of a 45-45-90-degree triangle ; 60-degree rotations ; Reflections on the sides of a 30-60-90-degree triangle
Tiling : Quadrilateral tiling ; Triangular tiling ; 60-120-degree tiling ; Semi-regular tiling ; Non-tessellating tiling ; Superimposition of grid lines
Seamless & Escher-type repeats : Seamless repeats ; Escher-type repeats ; Learn the rules, break the rules ; Symmetry operation reference finder ; Glossary.
