Abstract
We show that no d-dimensional simplex, for d greater than 2, is a 2-reptile. That is, no such simplex S admits tiling by two simplices that are congruent and similar to S.
We show that no d-dimensional simplex, for d greater than 2, is a 2-reptile. That is, no such simplex S admits tiling by two simplices that are congruent and similar to S.