2 citations · 4 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
How support lines touch an arc
Wacharin Wichiramala
We prove that each simple polygonal arc γ attains at most two pairs of support lines of given angle difference such that each pair has s1 < s2 < s3 that γ(s1) and γ(s3) are on one…
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…
The -property of a simple arc
J. Ralph Alexander, John E. Wetzel, Wacharin Wichiramala
In 2006 P. Coulton and Y. Movshovich established an unfamilar but note-worthy general property of simple, polygonal, open arcs in the plane. We give a new and quite different proof…