Mindym
Halves solution

Halves, Saturday, October 3, 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 circle.

Hint 2

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

Hint 3

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

Step-by-step solution

Show the solution (29 steps)
  1. × means these two differ, so this one is a circle.
  2. × means these two differ, so this one is a circle.
  3. × means these two differ, so this one is a triangle.
  4. A nudge: this one is a circle.
  5. A nudge: this one is a triangle.
  6. A nudge: this one is a circle.
  7. A nudge: this one is a circle.
  8. = means these two match, so this one is a circle too.
  9. Two circles side by side, so the next one must be a triangle.
  10. Two triangles side by side, so the next one must be a circle.
  11. A gap between two circles must be a triangle.
  12. Row 1 already has three circles, so the rest are triangles.
  13. = means these two match, so this one is a triangle too.
  14. Two triangles side by side, so the next one must be a circle.
  15. Column 4 already has three circles, so the rest are triangles.
  16. Two triangles side by side, so the next one must be a circle.
  17. Two circles side by side, so the next one must be a triangle.
  18. Column 3 already has three circles, so the rest are triangles.
  19. Two triangles side by side, so both ends must be circles.
  20. × means these two differ, so this one is a triangle.
  21. Two triangles side by side, so the next one must be a circle.
  22. Two circles side by side, so the next one must be a triangle.
  23. A gap between two triangles must be a circle.
  24. Row 3 already has three circles, so the rest are triangles.
  25. Row 4 already has three triangles, so the rest are circles.
  26. Row 5 already has three circles, so the rest are triangles.
  27. Column 1 already has three triangles, so the rest are circles.
  28. Column 2 already has three circles, so the rest are triangles.
  29. Row 2 already has three triangles, so the rest are circles.
=××××=

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