Elliptic billiards --- Introduction ---

When a ball bounces back on the border of a billiard table, its trajectories before and after the impact are in symmetry with respect to the normal line of the border.

If, instead of a rectangular form, the billiard table is bounded by a curve, the successive bouncings of the ball are often much more complicated, as the trajectory of the ball depends heavily on the point of the impact. This is exactly the case for Elliptic billiards, where the table is circular or elliptic. To play it, you have only to click on the billiard table.

You may choose the number of bouncings: , , , , Warning 1 bouncing back is already very hard in the elliptic case!
The form of the table:
style:
and the number of shots in each session:
(a score will be attributed at the end of a session). The most recent version


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Description: bouncing on a billiard table of elliptic form. interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: interactive mathematics, interactive math, server side interactivity, geometry, reflection, tangent, normal, ellipse, billiard