Riemann Surface for the Square Root Picture.

Riemann Surface for the square root. This surface is an object in four dimensions and cannot be drawn properly in three dimensions. The self intersections that the picture shows are a by-product of projecting the surface on three dimensions. The only singularity in the surface arises at the origin (the branch point).

Picture obtained using the script RiemannSur in the Athena 18.04 MatLab Toolkit.

Riemann Surfaces: The square root.	Back:

Riemann Surface for the square root. This surface is an object in four dimensions and cannot be drawn properly in three dimensions. The self intersections that the picture shows are a by-product of projecting the surface on three dimensions. The only singularity in the surface arises at the origin (the branch point). Picture obtained using the script RiemannSur in the Athena 18.04 MatLab Toolkit.	Back: