This tiling and colouring has translation symmetry (bold dashed line) and point symmetry (red dots and thin dashed lines). No point symmetry for the tiles under the translation axis. But it cannot tile the whole plane. It's only a frieze as one cannot continue the tiling beyond the red lines. One gets holes and/or overlap. I could not keep the same colours for the flipped tiles (bold boundary) under the translation axis as Oscar Cunningham did.

This tiling and colouring has translation symmetry (bold dashed line) and point symmetry (red dots and thin dashed lines). No point symmetry for the tiles under the translation axis. But it cannot tile the whole plane. It's only a frieze as one cannot continue the tiling beyond the red lines. One gets holes and/or overlap. I could not keep the same colours for the flipped tiles (bold boundary) under the translation axis as Oscar Cunningham did. Here too four tiles touching one point (can) have 4 different colours (the flipped yellow tiles can as well be cyan). Perhaps that's a sufficient rule.