A First Morley Triangle Concurrence
In a triangle, join the points of intersection of successive angle trisectors to get three points (Morley's first triangle). Join the vertices to those three points along the trisectors to form six triangles. The lines joining the opposite incenters of those triangles are concurrent.
A. Bogomolny, "Circles in Morley's Triangles," Interactive Mathematics Miscellany and Puzzles.