Color Möbius lattice (fat)

Locally, this looks like two staggered lattices. But if you trace one of the lattices once around the ring, you end up on the other lattice. Also, the color will have changed into its complementary color. So it's kind of like a Möbius band, only with lattices instead of sides.

I originally wanted to do this with a gyroid-shaped gap between the lattices, but it seems that is not possible. So I used the Schwarz P surface instead.