Fig. 100.51
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Morley Theorem: The trisectors of any triangle’s three angles describe an equiangular triangle.
Dr. Frank Morley, a professor of mathematics at Johns Hopkins University, was the author of a theorem on triangular symmetry: The three interior intersection points of the trisectors of any triangle’s three angles will always describe an equiangular triangle. It may be demonstrated graphically as in Fig. 100.51. This theorem is akin to the tetrahedral coordinate system of synergetics (Sec. 420), which describes how the superficial dissimilarities and aberrations of the tetrahedron in no way alter any of its constant symmetries of omnirational subdivisioning .