Spacetime Crystal catalog

All 275 spacetime groups of Shenglong Xu and Congjun Wu, Spacetime Crystal and Spacetime Group, Phys. Rev. Lett. 120, 096401 (2018) — “in 2+1 D, 275 spacetime groups are classified”, appendix C, with the per-system counts in their Table II — each one animated here, and the enumeration recomputed independently. Groups are numbered xu1…xu275, the same numbering the colour-correspondence tables use. Click a card to open a group's own page.

Cards start paused: ▶ below a card plays it in place, and pointing at a card lets ← → jump between the loop's symmetry instants (shift: step frame by frame). The selection is in the address bar, so a filtered catalog can be linked to.