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math.MG2026
Morley Simplices in Higher Dimensions: Regularity, Reflections, and Counterexamples
Quang Hung Tran
Trisecting the dihedral angles of an -simplex defines its Morley simplex. We study the original simplices for which this simplex is regular. A criterion in terms of the Gram mat…
math.MG2026
The Converse Problem for the Morley Tetrahedron: Counterexamples, Conjectures, and Partial Results
Quang Hung Tran
In a paper in Acta Mathematica Hungarica the author proved that the Morley tetrahedron of an isosceles tetrahedron, obtained by trisecting the six dihedral angles, is again isoscel…