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One time I started experimenting with creating thousands of particles, each with a position and a direction vector, steering toward the closest attraction point.
I called images and videos made using this technique "Gravity" even though the code does not model real gravity exactly: the steering force is the same however far the particle is from the attraction point. Also, only the nearest attraction point affects it.
One attraction point moving on a circular orbit.
Three attraction points on the vertices of an equilateral triangle.
Collage of 9 states of the system
Four attraction points on the vertices of a square.
Collage of 9 states of the system
Five attraction points on the vertices of a pentagon.
Collage of 9 states of the system
Six attraction points on the vertices of a hexagon.
Collage of 9 states of the system
A big collage showing 9×4 states of the above four systems.