Teleporting Parallax: HOW?

[Deeeds]

I've got a tonne of parallax layers.

I'm addicted.

They're mostly great big slabs of weird little glitchy, technotronic looking grids and digital cruft.

To make them appear to parallax I move them at a rate invert to the camera by multiplying their X position (camera only goes left/right at this stage) with small numbers like 1.2 or 1.125 for depth effects. It works. A little.

However, at the end of each level there is no end, the player is teleported back to a seamless start. An infinite world. At this point the parallax illusion is shattered because I have no idea how to reposition the parallax sheets correctly in response to this "round the world" hack of teleportation.

Any suggestions welcome. I'm flummoxed. As usual.