Well, currently only one applet...
Embedding a 2D metric in 3D Euclidean space
The following applet tries to embed a 2D metric in a 3D Euclidean space. More specifically, the 2D metric is of the following type:
dS2 = dθ2+f(θ)2dφ2 .
The applet lets you embed such a surface in a three-dimensional Euclidean space for different kinds of f(θ) definitions. Note that in the applet, the variable x is used instead of θ and that mathematical functions use the Java syntax: for example, use Math.sin(x) instead of sin(x).
Some interesting expressions to try are:
- Math.sin(x)*(1-0.75*Math.sin(x)*Math.sin(x)): this will draw a peanut-shaped surface (this is the default setting)
- Math.sin(x): this draws a sphere