Morley triangle
If we trisect the angles of an equilateral triangle and consider the three intersection points of corresponding trisector lines we were not surprised when seeing that those three points form an equilateral triangle.
The surprising thing is that when doing the construction with any triangle we always obtain an equilateral triangle that is called Morley triangle.
We can modify the triangle moving its vertices.
REFERENCES
Coxeter - Introduction to Geometry (John Wiley and sons).
