Question 1
Identify ALL transformation rules (multiple transformations occurring simultaneously):
Figure 1:
Figure 2:
Figure 3:
Figure 4:
What comes next?
MULTI-DIMENSIONAL PATTERN ANALYSIS:
Transformation 1 - Rotation Analysis:
Step 1: Measure rotation angles
- Figure 1: 0°
- Figure 2: 45°
- Figure 3: 90°
- Figure 4: 135°
Rotation increment: +45° per step ✓
Transformation 2 - Size Analysis:
Step 2: Measure square dimensions
- Figure 1: 15 units
- Figure 2: 18 units
- Figure 3: 21 units
- Figure 4: 24 units
Size increment: +3 units per step ✓
COMBINED RULE HYPOTHESIS:
TWO simultaneous transformations:
1. Rotation: +45° clockwise per step
2. Scaling: +3 units per step
VERIFICATION:
Both patterns verified independently ✓
Check for correlation: None (independent transformations) ✓
APPLICATION:
Figure 5 predictions:
- Rotation: 135° + 45° = 180°
- Size: 24 + 3 = 27 units
ADVANCED MULTI-RULE DETECTION:
- Decompose complex transformations
- Analyze each dimension independently
- Verify pattern consistency for each rule
- Check for rule interactions or dependencies
- Combine predictions from all rules
COMMON MISTAKES TO AVOID:
- Focusing on only one transformation
- Missing the scaling while tracking rotation
- Not verifying both patterns independently
- Assuming transformations must be related
- Incomplete pattern analysis
Transformation 1 - Rotation Analysis:
Step 1: Measure rotation angles
- Figure 1: 0°
- Figure 2: 45°
- Figure 3: 90°
- Figure 4: 135°
Rotation increment: +45° per step ✓
Transformation 2 - Size Analysis:
Step 2: Measure square dimensions
- Figure 1: 15 units
- Figure 2: 18 units
- Figure 3: 21 units
- Figure 4: 24 units
Size increment: +3 units per step ✓
COMBINED RULE HYPOTHESIS:
TWO simultaneous transformations:
1. Rotation: +45° clockwise per step
2. Scaling: +3 units per step
VERIFICATION:
Both patterns verified independently ✓
Check for correlation: None (independent transformations) ✓
APPLICATION:
Figure 5 predictions:
- Rotation: 135° + 45° = 180°
- Size: 24 + 3 = 27 units
ADVANCED MULTI-RULE DETECTION:
- Decompose complex transformations
- Analyze each dimension independently
- Verify pattern consistency for each rule
- Check for rule interactions or dependencies
- Combine predictions from all rules
COMMON MISTAKES TO AVOID:
- Focusing on only one transformation
- Missing the scaling while tracking rotation
- Not verifying both patterns independently
- Assuming transformations must be related
- Incomplete pattern analysis