Skip to product information
1 of 2

Prodigi

Complex Circle, 2 Slits Wall Art Poster

Complex Circle, 2 Slits Wall Art Poster

Regular price $5.99 USD
Regular price Sale price $5.99 USD
Sale Sold out
Size

The equation \(x^2 + y^2 = 1\) describes the unit circle in the real Cartesian plane. We may write \(y = \pm\sqrt{1 - x^2}\) and treat the circle as a union of two semi-circle graphs.

Similarly, the equation \(z^2 + w^2 = 1\) in the complex Cartesian plane describes a surface that can be written as a union of two graphs. The complex square root is only continuous if we remove branch cuts, and the two graphs here are only continuous if we slit the complex plane somewhere.

This image shows continuous branches on the plane with the real rays \((-\infty, -1]\) and \([1, \infty)\) removed.

Printed on high-quality 170 gsm poster paper with a satin finish.

View full details