# Christoph Champ Logo

In case you are wondering what this site's logo (or **Christoph Champ Logo** / ** Sumi-e Lissajous curve**) is all about, this article will attempt to explain it.

I have always been interested in geometry. This is especially true of symmetry. This is what I had in mind when I designed my logo for this site. It is actually just a Lissajous curve that has been transformed, using the principles of *sumi-e*, for an artistic effect.

## The mathematics behind the logo

In mathematics, a **Lissajous curve** is the graph of the system of parametric equations:

*x*=*A**sin(*at*+ δ),*y*=*B**sin(*bt*),

Below is an example of a Lissajous figure with δ = π/2, *a* = 9, *b* = 8. Next to it is a *sumi-e* rendition of this same Lissajous curve (created by Christoph Champ).

You can easily generate a Lissajous curve in Maple by executing the following commands:

x1:= t->sin(9*t): y1:= t->sin(8*t): plot({[x1(t), y1(t), t=0..2*Pi]});