Maxanti prototype

Aid: draw the arrows of the selected clue

Rules

Place stones on the cells without a clue. Each clue looks at the six cells around it. A cell outside the board is empty. Every level has exactly one solution.

h0 is the number of stones around the clue.
h1. Draw an arrow of length 1 from the clue to each stone around it. The clue is the length of the sum of the arrows.
h2. Add the stones of each pair of opposite cells. Place the three pair sums at angles of 120 degrees. The clue is the length of their sum.
h3. Take every second cell around the clue. The clue is the difference between the stones on these three cells and the stones on the other three cells.

In one formula: the clue hk = a says that the discrete Fourier coefficient X_k of the six cells has the absolute value a.

Controls

Click a cell: stone, then empty mark, then blank.
Right-click a cell: empty mark.
Click a clue to select it. The game shows its six cells.
A clue turns green when all its cells are decided and the clue is true. It turns red when it is false.

Pattern facts

h1 = 0: the stones form opposite pairs, or one triangle of alternate cells.
h1 = 2: exactly three stones side by side.
h2 = 0: the three pair sums are equal.
h2 = √3: the pair sums are 0, 1 and 2 in some order.
h2 = 2: the pair sums are 2, 0, 0 or 2, 2, 0 in some order.
h3 = 3: one triangle of alternate cells.
For every clue cell: h0² + 2·h1² + 2·h2² + h3² = 6 × (number of stones).