Make a small Thanksgiving puzzle with six numbered squares, a pencil and one rule that links the whole page: every chosen line must belong to the same closed loop. The autumn decoration can sit outside the grid, leaving the actual puzzle easy to copy and check. This worked example has a unique answer, with the solution kept below the player sheet.
Draw the exact teaching grid
Draw two rows and three columns of equal squares. Put a dot at each corner, making three rows of four dots. Write 2, 1, 2 across the top row of cells and 2, 1, 2 across the bottom. Keep the numerals centered so they cannot be mistaken for corner labels. An autumn-colored border gives the sheet its Thanksgiving setting without changing any clues.
Use pale grid lines as guides. A solver will trace selected edges more heavily; the printed lines do not count as chosen edges. There are 17 possible edges: nine horizontal segments and eight vertical segments. Each segment runs between two neighboring dots, not across several cells at once.
Explain the local and global rules
- Trace only existing horizontal or vertical grid edges. Do not draw diagonals or curves through cells.
- Each cell’s number tells exactly how many of its four sides must be traced.
- All traced edges must form one connected, closed loop. No branches, crossings, loose ends or separate loops are allowed.
- At any dot, either no traced edges meet or exactly two meet.
The player sheet below contains only the grid and clues. Optional small pencil crosses can mark edges you have ruled out; those crosses are notes, not part of the answer. Anyone can work alone, share deductions with a partner or skip the activity. There is no need for a timer or a winner.
Show how cells share an edge
Consider the vertical edge between the top-left 2 and the top-middle 1. If you trace it, it counts as one side for both cells. The top-middle cell would then have used its entire allowance, so its other three sides would have to stay untraced. An outside edge touches just one cell and contributes only to that cell’s clue.
That shared-edge example explains accounting, not a recommended move. In the finished answer below, this particular interior edge is unused. When offering hints, distinguish a hypothetical line from a line known to belong to the solution.
Solve the checked small example
Pause here if you want to solve before reading the answer. A useful first experiment is to ask what happens if the perimeter is traced and all internal edges are left blank.
Trace the three top edges, the two right edges, the three bottom edges and the two left edges. The four corner cells each touch two traced outside sides. The middle cell in each row touches one traced outside side. The clue totals therefore read 2, 1, 2 on both rows, exactly as required.
Now check the global condition. There are ten chosen segments. Each used dot has two incident segments, and following the line returns to the starting dot after visiting every chosen segment. No inside edge is used, no branch appears and no second loop remains. Exhaustively checking all 131,072 subsets of the 17 possible edges leaves this as the only answer satisfying both the clue counts and the single-loop rule.
Distinguish this from following a maze
A maze usually offers a route to follow through passages. Here, there is no entrance or exit: the solver chooses the edges that create a closed boundary. A pretty outline still fails if even one numbered cell has the wrong count. Several separate rings fail even when their local counts look plausible.
The answer illustration keeps the completed puzzle separate from a small shared-edge demonstration. The orange edge in that inset shows how counting works; it is not an extra edge to add to the solution.
Troubleshoot and make another sheet
If an answer seems close, check the cells first, dot degrees second and connectivity last. A dot with one traced edge is a loose end; three or four create a branch or crossing. Two closed shapes cannot be accepted as one loop. If the printout makes selected and unselected edges look alike, use a thicker pencil line rather than relying on color alone.
To design another instance, draw a legal loop first, count its sides around every cell and then erase the answer lines from the player copy. Those steps guarantee that the intended answer works, but do not guarantee it is the only answer. Check alternatives before advertising uniqueness. Keep the original, fully checked example if you do not have a reliable way to test a larger grid.
A Thanksgiving border makes the sheet inviting; precise clues and one clearly checked loop make it fair.
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