2 Feb
2012
2 Feb
'12
4:22 p.m.
2012/2/2 Valerie <valerie_vk@...36...>:
In this case, I'd be dividing into the following sub-tools:
- Point symmetry
- Symmetry
- Rectangular tiling
- Triangle tiling (P3 and P6 transformations)
- Copies along path (maybe)
Mathematically the best division would be into point symmetries and plane symmetries (aka tilings). For example, axes of symmetry and mirror planes are point symmetries, while P1 tiling is a plane symmetry. This is somewhat important, as for example you can have a sevenfold axis of symmetry as a point symmetry, but there is no plane symmetry that has such an axis.
http://en.wikipedia.org/wiki/Wallpaper_group http://en.wikipedia.org/wiki/Point_groups_in_two_dimensions
Regards, Krzysztof