GCTS / A₂ lattice playground

A₂ Tiling Studio

Repeat a Turtle, Hat, or your own closed lattice loop around a single tile, Trefoil, or Hexagon center. Online GCTS can begin unmarked and learn sparse mismatch certificates from failed branches.

1
Tile to repeatChoose a prototile or draw one.
2
CenterWhat the repeated tile grows around.
3
Grow patchRun the selected search.
symmetry
marks ready
0failures encoded
0mark entries
0later trials pruned

Empty marking. Choose Trefoil or Hexagon, then initialize the tiling.

audit trail

    A₂ loop editor

    Draw a custom lattice tile

    Select lattice points in boundary order. Return to the first point to close the loop.

    Click add vertex Click first point close loop ⌘/Ctrl Z undo