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Halves solution

Halves, Thursday, October 1, 2026

Stuck, or checking your answer? Start with a hint, or jump to the full solution. Every move comes with the reason it has to be right.

The puzzle

Circles and triangles: three of each in every row and column, and never three alike in a line. Full rules and tips.

×=×××××

Hints

Hint 1

× means these two differ, so this one is a triangle.

Hint 2

× means these two differ, so this one is a triangle.

Hint 3

× means these two differ, so this one is a triangle.

Step-by-step solution

Show the solution (26 steps)
  1. × means these two differ, so this one is a triangle.
  2. × means these two differ, so this one is a triangle.
  3. × means these two differ, so this one is a triangle.
  4. Two circles side by side, so both ends must be triangles.
  5. Row 4 already has three circles, so the rest are triangles.
  6. A nudge: this one is a circle.
  7. Two circles side by side, so the next one must be a triangle.
  8. Two triangles side by side, so the next one must be a circle.
  9. × means these two differ, so this one is a triangle.
  10. A nudge: this one is a circle.
  11. A nudge: this one is a triangle.
  12. Column 2 already has three triangles, so the rest are circles.
  13. × means these two differ, so this one is a triangle.
  14. A gap between two triangles must be a circle.
  15. A nudge: this one is a circle.
  16. = means these two match, so this one is a circle too.
  17. × means these two differ, so this one is a triangle.
  18. Two circles side by side, so the next one must be a triangle.
  19. Two triangles side by side, so the next one must be a circle.
  20. Two circles side by side, so the next one must be a triangle.
  21. Column 3 already has three circles, so the rest are triangles.
  22. Two triangles side by side, so the next one must be a circle.
  23. Row 5 already has three triangles, so the rest are circles.
  24. Column 4 already has three circles, so the rest are triangles.
  25. Two triangles side by side, so the next one must be a circle.
  26. Row 6 already has three triangles, so the rest are circles.
×=×××××

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