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The latest way I have found to use my expensive math software for frivolous entertainment is this. Here's is a way to describe it.

1000 dancers assume random positions on the dance-floor.

Each randomly chooses one "friend" and one "enemy".

At each step every dancer

moves 0.5% closer to the centre of the floor

then takes a large step towards their friend

and a small step away from their enemy.

At random intervals one dancer re-chooses their friend and enemy

Randomness is deliberately injected.…