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math.CO2019
Incongruent equipartitions of the plane
Dirk Frettlöh, Christian Richter
R. Nandakumar asked whether there is a tiling of the plane by pairwise incongruent triangles of equal area and equal perimeter. Recently a negative answer was given by Kupavskii, P…
math.MG2019
Tilings of convex polygons by equilateral triangles of many different sizes
Christian Richter
An equilateral triangle cannot be dissected into finitely many mutually incongruent equilateral triangles [Tutte 1948]. Therefore Tuza [Tuza 1991] asked for the largest number $s=s…