Congruent Incircles Point

The point $Y$ for which Triangles $BYC$, $CYA$, and $AYB$ have congruent Incircles. It is a special case of an Elkies Point.

References

Kimberling, C. ``Central Points and Central Lines in the Plane of a Triangle.'' Math. Mag. 67, 163-187, 1994.