Unifweb 2.0 - Riemann Surfaces with Symmetry

Symmetry Group (order 720):

Generators = a,b

Relations = a^6,b^2,(a*b)^5,(a*b*a^-1*b)^3,(a^2*b*a^-2*b)^2

Riemann Surface (genus 49):

The surface is divided into fundamental domains of the symmetry group action.

Click on a point to move it to the center of the picture.

PostScript Only: GIF Only:

Change Riemann Surface Parameters:

1. Boolean = OFF

Change Symmetry Group:

Enter Generators:

Enter Relations:

The relations must list, in order:

1. a power of each generator,
2. a power of the product of all the generators, and
3. other relations consistent with these.

Try out some of the examples!