∗442 p4m
A mirror triangle with corner orders 4, 4 and 2. Each entry below is one way the group's operations can advance a periodic pattern in time, from the clockwork/colouring correspondence; every animation is a saved, independently re-verified solution of the named equation.
1 · Choose the time symmetry
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Parameters, thumbnails and numerical checks are precomputed.
Physical width 2 L
Symbols: time-shift symmetry. Curved arrows: measured local motion.
Numerical record
The displayed width is measured in simulation lattice lengths L.
Only accepted numerical orbits appear here. An empty entry means existence remains unresolved.
Forward trajectory RMS—
Time-symmetry error—
Temporal variation—
Forward return RMS—
All 17 wallpaper groups · Research note · How the patterns are computed