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n-Body Choreographies   v. 1.0
speed

More information here.

Mathematics by
James Montaldi and
Katie Steckles

Animation by Dan Gries,
rectangleworld.com

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Three particles on a Celtic knot

Symmetry type D(3,4) = three particles, and planar symmetry group D4 (the symmetry group of the square), leading to a dihedral symmetry group of the choreography of order 24.