Overview
Animation
Classic Surfaces
Parm Surfaces
Curves on Surfaces
Discrete Geodesics
ODE
Platonic Solids
Cycloid
Root Finder
Harmonic Maps
Rivara Bisection
Scalar Field
Weierstrass
Closed Polygon
Elastic Curve
Billiard in an Ellipse
LIC Visualization
Discrete VF
Hodge Splitting
Textured Surface
Surfaces of Rotation
Mean Curvature Flow
Pythagoraen Tree
Julia Sets
Elliptic Billiard
Playing elliptic billiard generates rotational discrete constant mean curvature surfaces. The generated billiard curve is unrolled and the trace of one focus defines another discrete curve. Rotating this curve around the x-axis generates a discrete CMC surface.
Pick a point inside the ellipse the select an initial point. Look at the unrolled curve or the surface by selecting one of these checkboxes. The trace of the focus is the red polygon, the billiard curve is colored blue.