Every non-zero complex number has precisely two square roots: For each complex \(z \neq 0\), the equation \(z = w^{2}\) has two solutions, formally \(w = \pm\sqrt{z}\). If we traverse the unit circle in the \(z\)-plane, however, the "positive" and "negative" square roots are continuouosly exchanged. This image depicts the Riemann surface of the complex square root by projecting away the imaginary part of \(w\).
Printed on archival quality Hahnemühle German etching paper (310gsm) with a velvety surface.
