Question 1
A transparent sheet is folded in half vertically (off-center). Looking through the folded sheet, you see A heart shape that appears complete but slightly skewed.
What was the original pattern drawn on the unfolded sheet?
**Note:** Solid shapes = what's directly visible. Dashed shapes = what you see through transparency (reflections).
Step-by-Step Solution:
Step 1 - Asymmetric Fold Analysis:
- Fold is OFF-CENTER (not at the middle)
- The visible heart appears complete but skewed
- This indicates the original had two halves at different distances from the fold
Step 2 - Deconstructing the Visible Heart:
- The visible heart is actually the superposition of:
- Original left half (closer to fold)
- Reflected right half (further from fold)
- Because the fold is off-center, the reflection doesn't perfectly align
- This creates the "skewed" appearance
Step 3 - Reconstructing Original:
- The original must have had drawings on BOTH sides of the fold
- The drawings must have been positioned so their superposition creates a heart
- Therefore: Two half-hearts at asymmetric positions
Step 4 - Result:
- Two half-hearts at asymmetric positions