Manufactory 1799
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Clears the floor and places the border. The spots inside are shown lightly shaded. Step 2 fills them with numbered tiles.
Places numbered tiles from the storeroom on the empty spots inside the border.
Rotates and swaps the numbered tiles toward the chosen pattern. Runs 30 seconds, longer on a large floor, up to 2 minutes. Stop whenever you like; Start again to keep improving. Empty spots inside the border are filled at random first. Border tiles stay where they are. Undo returns to the layout from before the start.
Which tiles should turn over? If any of them shows its front, they all turn to the back. Otherwise they all turn to the front.
Which tiles should go back to the storeroom? Undo brings them back.