Here are two videos with animations depicting the helical nature of the solar system as it roars through the galaxy, orbiting the galactic center. In the second video, I'd imagine that the galactic plane itself would be helical as the galaxy makes its way through the universe.
The Helical Model - Our Solar System Is A Vortex
The Helical Model - Our Galaxy Is a Vortex
The Helical Model - Our Solar System Is A Vortex
The Helical Model - Our Galaxy Is a Vortex