Riemann Surface Explorer
Function:
w = √z (2 sheets)
w = ∛z (3 sheets)
w = log(z) (∞ sheets)
w = √(z²-1) (2 sheets)
View mode:
Domain coloring (arg)
Sheet structure (Re w)
Monodromy path
Branch cut style:
Negative real axis
Positive real axis
Imaginary axis
Zoom:
1.0
Path radius (monodromy):
0.8
Encircle branch point
to see monodromy action
Branch cuts are lines where multivalued functions jump sheets. Monodromy: analytically continuing around a branch point permutes the sheets. For √z, monodromy = sheet swap (order 2).