In regard to above comments -- 2DSes are region-locked, meaning they have a predetermined set of locations the user can set them to. It just so happens that the Elegant, Garden, Meadow, Monsoon, River, and Tundra patterns don't have any locations in an NTSC-U 2DS, so those systems can't get them without trading.
A PAL 2DS can get Garden, Meadow, Monsoon, River, and Tundra (among others), but Elegant is exclusive to Japanese handhelds.