Question 1
Identify the complex positional movement rule:
Figure 1:
Figure 2:
Figure 3:
Figure 4:
Where should the dot appear next?
PATTERN ANALYSIS:
Step 1: Track the position of the dot in each figure
- Figure 1: Position at (40, 60)
- Figure 2: Position at (60, 40)
- Figure 3: Position at (80, 60)
- Figure 4: Position at (60, 80)
Step 2: Analyze movement vectors
- Fig 1→2: Δx = 20, Δy = -20
- Fig 2→3: Δx = 20, Δy = 20
- Fig 3→4: Δx = -20, Δy = 20
Step 3: Detect movement pattern
The dot follows a spiral inward pattern
RULE HYPOTHESIS:
Systematic positional movement following spiral inward pattern
VERIFICATION:
All movements conform to the identified pattern ✓
APPLICATION:
Next position: (50, 60)
Following the established spiral inward pattern
ADVANCED TECHNIQUES:
- Plot positions on coordinate system
- Check for symmetry and periodicity
- Analyze velocity and acceleration vectors
- Consider boundary conditions
COMMON MISTAKES TO AVOID:
- Assuming simple linear movement
- Not considering boundary reflections
- Missing rotational or circular patterns
- Ignoring spatial constraints
Step 1: Track the position of the dot in each figure
- Figure 1: Position at (40, 60)
- Figure 2: Position at (60, 40)
- Figure 3: Position at (80, 60)
- Figure 4: Position at (60, 80)
Step 2: Analyze movement vectors
- Fig 1→2: Δx = 20, Δy = -20
- Fig 2→3: Δx = 20, Δy = 20
- Fig 3→4: Δx = -20, Δy = 20
Step 3: Detect movement pattern
The dot follows a spiral inward pattern
RULE HYPOTHESIS:
Systematic positional movement following spiral inward pattern
VERIFICATION:
All movements conform to the identified pattern ✓
APPLICATION:
Next position: (50, 60)
Following the established spiral inward pattern
ADVANCED TECHNIQUES:
- Plot positions on coordinate system
- Check for symmetry and periodicity
- Analyze velocity and acceleration vectors
- Consider boundary conditions
COMMON MISTAKES TO AVOID:
- Assuming simple linear movement
- Not considering boundary reflections
- Missing rotational or circular patterns
- Ignoring spatial constraints