I may have been mystified by the synchronized swimmers during the 2008 Olympics, but they're not the only proof of value in symmetry. By using symmetry as a starting-off point for decorating your interiors, you can create a strong visual theme that looks polished, but not necessarily stiff.
Stick with no more than four colors. Here, the palette includes chartreuse, gray, black, and white. Note that there are no patterns: add interest instead with texture.
Try a set of white faceted vases filled with tall flowers or greenery to make a bold statement. Then, fill in the space with a mix of decorative accents, such as vases, trays, and bowls, that share the same color palette. Below are some accents and furniture that I've rounded up to help you get this look.