Parallel Packing and Covering of an Isosceles Right Triangle with Sequences of Squares

Chenyang Su1, Zhanjun Su1, Liping Yuan1
1College of Mathematics and Information Science, Hebei Normal University, Hebei, Shijiazhuang, 050024, China.

Abstract

Let \(T\) be an isosceles right triangle and let \(S_1, S_2, S_3, \dots\) be the homothetic copies of a square \(S\). In this paper, we consider the parallel covering and packing of \(T\) with the sequence \(\{S_n\}\) of squares.