Part 3/6:
Next, we turn to the perimeter of the square, which is calculated with the formula for the perimeter of a square ( P = 4 \times \text{side length} ). Given that each side of the square is one unit long, the perimeter simply amounts to:
[ P = 4 \times 1 = 4 ]
The comparison begins to unfold—if we manipulate the corners of the square, the premise claims that each alteration still results in a perimeter of four, even as we continue to adjust the shape towards a more circular form.
As we progressively "slice" the corners and essentially reshape the square into an increasingly rounded figure, the illusion suggests that the perimeter remains unchanged at four, insinuating that the shape's circumference must also resolve to four as it approaches a complete circle.