Patterns of English Country Dance. [1]
Jane Austen's novel Pride and Prejudice, also enacted in various movie versions - the 1940 version with Laurence Olivier being a classic - is full of geometry.
During the frequent social dances which bring different families and groups together, dances are a common way for people to interact. Dancers are paired off with diagonally opposite partners, then break loose to join those next to them, and travel down lines with yet another. Partners weave in and out of lines and squares to complete the dance. The music prompts you when to start, stop and change directions and patterns.
Finally, at the very end, like a lovely carpet, all the patterns settle in perfect harmony and geometry. Everyone, and everything, is just where they belong.
Such dances are a microcosm of what happens in society itself. The rules of the game are dictated by subtle meters and melodies, decorum and restraint are required, conversation and interaction with partners and groups are carefully choreographed. And the final outcome is an unobtrusive and polite pairing off of the right couples.
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1. Plan and construction of a Country Dance