T(x, y) = (xy², −x²y) is a cubic map of the plane, applied to a square grid point by point and blended in as (1 − a)p + a·T(p). For c ≠ 0 every grid line lands on a parabola: the row y = c on Y = −X²/c³, the column x = c on X = Y²/c³. The axes x = 0 and y = 0 collapse to the

Name: T(x, y) = (xy², −x²y) is a cubic map of the plane, applied to a square grid point by point and blended in as (1 − a)p + a·T(p). For c ≠ 0 every grid line lands on a parabola: the row y = c on Y = −X²/c³, the column x = c on X = Y²/c³. The axes x = 0 and y = 0 collapse to the
Channel: matharium
Description: T(x, y) = (xy², −x²y) is a cubic map of the plane, applied to a square grid point by point and blended in as (1 − a)p + a·T(p). For c ≠ 0 every grid line lands on a parabola: the row y = c on Y = −X²/c³, the column x = c on X = Y²/c³. The axes x = 0 and y = 0 collapse to the

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T(x, y) = (xy², −x²y) is a cubic map of the plane, applied to a square grid point by point and blended in as (1 − a)p + a·T(p). For c ≠ 0 every grid line lands on a parabola: the row y = c on Y = −X²/c³, the column x = c on X = Y²/c³. The axes x = 0 and y = 0 collapse to the

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