AC^3

Outer Contact Billiards

The variable χ changes the ratio of the torus's principal circles (where c1 = cos χ, c2 = sin χ).

The variables φ, θ change the point on the table.

The variable t shows two points on the characteristic line that are in correspondence.

Make sure to check out our preprint (colab with Connor Jackman): click here to go to arXiv

Projection xy
Projection uv
Stereographic projection