2018/12/17 by Michael Beeson, Beeson, Michael · 1 citation
Mathematics · #51M20 (primary) 51M04 (secondary) #Combinatorics (math.CO) #FOS: Mathematics #History and Overview (math.HO) #Mathematics and Applications #Metric Geometry (math.MG)
paper · pdf · doi:10.48550/arxiv.1812.07014
openalex publication_date 2018/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let ABC be an equilateral triangle. For certain triangles T (the "tile") and certain N, it is possible to cut ABC into N copies of T. It is known that only certain shapes of T are possible, but until now very little was known about the possible values of N. Here we prove that for N>3, N cannot be prime, and study more closely the possible tilings when the tile has a π/3 angle.