1. **State the problem:** We need to find the order of rotational symmetry of a 5x5 grid pattern with grey squares at positions (1,2), (1,4), (2,3), (3,2), (3,4), (4,2), and (4,4).
2. **Understand rotational symmetry:** The order of rotational symmetry is the number of times a figure maps onto itself during a full 360° rotation.
3. **Check rotations:**
- Rotate the pattern by 90°: The grey squares do not map onto the original grey squares positions.
- Rotate by 180°: The grey squares map onto themselves because the pattern is symmetric about the center.
- Rotate by 270°: Same as 90°, no match.
- Rotate by 360°: Always maps onto itself.
4. **Conclusion:** The pattern maps onto itself twice during a full rotation (at 0° and 180°).
5. **Final answer:** The order of rotational symmetry is $2$.
Rotational Symmetry 091908
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