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math.MG2026
Wetzel's 30-60-90 Triangle Covers Unit Arcs
Wacharin Wichiramala, Chatchawan Panraksa
John E. Wetzel conjectured that the 30-60-90 triangle T obtained by placing a square of side 1/3 on the hypotenuse covers every unit arc in the plane. We give a computer-assisted p…
math.MG2019★ 1 cited
Wetzel's sector covers unit arcs
Chatchawan Panraksa, Wacharin Wichiramala
We settle J. Wetzel's 1970's conjecture and show that a 30{^\circ} circular sector of unit radius can accommodate every planar arc of unit length. Leo Moser asked in 1966 for the s…