Trisectors and Circumcircles

If the angular trisectors of a triangle are produced to the circumcircle, then the chords of adjacent trisectors form an equilateral triangle (in yellow) with sides parallel to the Morley triangle (in black). By moving the orange vertices around a fixed circumcircle these equilateral triangles can be seen as the result of intersecting the corresponding trisectors lines (in purple) and chords (in yellow).

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