Dance can be a kind of geometric art in motion. Square dancing is a good example. Traditionally, each square includes eight dancers. The four sides of the square are sometimes called North, South, East, and West. Each side has two people, traditionally, a guy and a gal. They are called partners. Outside of the square is a caller, who sings out the moves. 'Swing your partner' is a basic move where the guy and the gal link arms at the elbows and skip a circle in place on their side of the square. All four sets of partners do this at once. Other moves direct each dancer to their 'corner'. The corner is the person closest to the dancer along the adjacent side of the square. Another simple call is 'Dosie-Do your corner; now Dosie-Do your own.' Each dancer folds his or her arms almost at shoulder level. First they meet up with their corners and circle each other, then return to their partners and circle each other. More sophisticated moves involve weaving back and forth in a ring.
We spent a few weeks in PE at school ('physical education') learning square dancing. This was during the era of the twist, the watusi, the frug, and the mashed potato, so we acted like the old-fashioned square dancing was kind of - well - square. But it was a lot of fun - and a bit of a challenge. Sometimes we crashed into a funny pile-up when we confused left and right, or didn't have the move down yet. Some friends and I some time back spent a part of an evening watching square dancers via youtube.com. The dancers in country-style costumes moved in synchrony, creating kaleidoscope-like images when watched from above. At the corners, and along the lines of the square, there arose twirling colorful circles. Each dancer was separate, yet they moved as a whole, as though invisibly connected. We hadn't meant to watch video after video of square dancers, but it was visually fascinating.