Mindym
Halves solution

Halves, Sunday, October 4, 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 match, so this one is a circle too.

Hint 3

Two circles side by side, so the next one must be a triangle.

Step-by-step solution

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

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