Tiling the Unit Square with 5 Rational Triangles
Garikai Campbell, James Brady, Arvind Nair · Rocky Mountain Journal of Mathematics · 2007
There are 14 distinct ways to tile the unit square (modulo the symmetries of the square) with 5 triangles such that the 5-tiling is not a subdivision of a tiling using fewer triangles.We demonstrate how to construct infinitely many rational tilings in each of the 14 configurations.This stands in contrast to a long standing inability to find rational 4-tilings of the unit square in the so-called χ -configuration.