The pages below contain 100s of loci of triangle centers for N-periodics in the elliptic billiard, more info in [1].

1 Loci of X(1)~X(100)

The following image galleries have been assembled:

  1. 3-periodics
  2. 3-periodics and derived triangles
  3. 4-periodics and internal triangles
  4. 5-periodics and internal triangles
  5. 6-periodics internal triangles
  6. 7-periodics internal triangles

Any comments, ideas, corrections, suggestions, and proofs contributed are very welcome. Email me at: dreznik _theat_ gmail _thedot_ com.

References

[1] Reznik D, Garcia R, Koiller J. 2019.Math Intelligencer. Available from: https://arxiv.org/abs/1911.01515,.