Question 1
A paper is folded in half vertically, then horizontally. Then a small triangle cut from the folded corner. What pattern appears when unfolded?
Advanced Cutting Pattern Solution:
Step 1 - Cutting vs Punching Difference:
- Cutting removes paper material
- Creates negative space (holes) rather than positive marks
- Shape of cut is preserved through unfolding
- Multiple layers cut simultaneously
Step 2 - Fold Analysis:
- Sequence: folded in half vertically, then horizontally
- Creates 4 layers stacked at corner
- All layers perfectly aligned
- Cut from folded corner affects all 4 layers
Step 3 - Pattern Emergence:
- Four triangular notches oriented inward
- Meeting at the center
- Forming a square opening
- Result: Four triangular notches at the center, forming a square hole
Key Insight: Cutting through folded layers creates complex negative space patterns that are different from hole punch patterns.