A caterpillar moves forward by curling up (contracting) and stretching (expanding). A spiraling torus (O) or an eight (8) that is buildup out of rotating bodies that slipstream behind each other, will generate a similar movement, by compressing and decompressing along the closed trajectory, generating a continuous oscillating current that surrounds the whole formation.
(image source: http://pk-photography.blogspot.com)
A closed looped Caterpillar-like chain of particles forming a figure-8-string of particles, within an ellipsoidal particles gas, spiraling upwards (Top/Front/Side/Perspective-view):
A closed looped Caterpillar-like chain of particles forming a figure-8-string of particles, within an ellipsoidal particles gas, spiraling upwards (Top/Front/Side/Perspective-view):
(See topic Spiralling Figure 8 for more about this concept)