Question

The figure on the left was made using white and black ribbons. If all black ribbons in the vertical direction are replaced by white and all white ribbons in the horizontal direction are replaced by black, then find out the resulting figure. 

• A. A
• B. B
• C. C
• D. D

Hint:

When transforming patterns, apply replacement rules systematically, ensuring that crossing structures remain consistent.

Answer 1

The Correct Option is A

1. Understanding the Replacement Rule:
- Black ribbons in the vertical direction: These will be replaced with white ribbons.
- White ribbons in the horizontal direction: These will be replaced with black ribbons.
2. Applying the Replacement:
- By replacing vertical black ribbons with white and horizontal white ribbons with black, the crossing pattern is preserved, but the colors are swapped accordingly.
3. Options Analysis:
- Option A: Correctly represents the resulting pattern with vertical white ribbons and horizontal black ribbons, maintaining the crossing structure.
- Option B: Does not correctly reflect the replacements as per the rules provided.
- Option C: Misplaces the color assignments for the ribbons, leading to an incorrect pattern.
- Option D: Contains errors in ribbon coloring and does not align with the replacement rule.
Conclusion: The resulting figure after applying the replacement rule is \(A\).