URN · Reflection
Move the tiles to complete three overlapping 1–6 hubs. Each edge flip turns the tile over and changes every corner digit to 7 minus itself.
Hubs A, B, C: the six corner digits pointing toward each hub must contain 1–6 exactly once.
Reflection: opposite faces pair 1 ↔ 6, 2 ↔ 5, 3 ↔ 4. Digits follow their physical corners through the flip; a second flip changes them back.
Finish: finish with the blank at any of the three corners. Choose which corner works with your arrangement. Tile IDs, front/back faces, and the outside digits do not otherwise restrict a solution.
Tap a gold-outlined neighboring tile to reflect it into the blank. Tap a hub or its panel to highlight its six corners. The blank can pass through any position while you solve. A hub with a missing tile is incomplete.
Every set of digits is built in a valid arrangement and shuffled with 100 legal moves, so at least one solution is reachable. Any arrangement satisfying all three hubs with the blank at any corner wins. Restart restores your latest shuffle. Progress is saved on this device.