02
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Square Art
A square has an area of 120. We define both diagonals as the (equally scaled) x-axis and y-axis of a coordinate system with the center of the square as the origin. The pairs {x, y} for which x³ – y³ > 0 are colored red. The other pairs are colored white.
Challenger
Calculate the area of the red-colored part. Round your answer to the nearest whole number.
Mastermind
Same question, however, now for all pairs {x, y} for which (x² + 2xy – 3y²) / (x² – 2xy – 3y²) > 0 are colored red. Round your answer to the nearest whole number.