Start from any triangle ABC and drag its vertices. Each of the three angles is split into three equal parts by two trisector lines. The trisectors next to each side meet in pairs at three points, P, Q, and R. Morley's theorem says these three points always form an equilateral triangle, however the original triangle is shaped. The three side lengths of that Morley triangle are shown and stay equal. A toggle shows or hides the trisector lines. An info button opens a drawer explaining the theorem.
Adjacent angle trisectors meet at an equilateral triangle