The triangulation point Y of a reference triangle Δ A B C for which triangles Δ B Y C, Δ C Y A, and Δ A Y B have congruent incircles. It is a special case of an Elkies point. Kimberling and Elkies showed that a unique such point exists for any triangle, but did not provide explicit constructions for this point.

congruent incircles | Elkies point | incircle