Every non-zero complex number has precisely three cube roots, lying at the vertices of an equilateral triangle centered at \(0\). To get a continuous cube root function, we may slit the plane by removing the negative real axis. The resulting cube root that is real along the positive real axis is the "principal branch" of cube root, whose image is light green. The other two branches, obtained by rotating the image \(1/3\) or \(2/3\) of a turn about \(0\), fit neatly together.
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