“…[14][15][16][17] Benefiting from the rapid advancement in the semiconductor industry, an increasing array of 2D materials with NPR have been proposed, including GeSe 2 , 18 tinselenidene, 19 Ag 2 S, 20 Pd-decorated borophene 21 and so on. [22][23][24][25][26][27][28][29][30][31][32][33][34][35] These reported 2D NPR materials can be broadly categorized into four distinct groups with inplane, 18,24,[26][27][28][29][30][31][33][34][35] out-of-plane, 19,25,32 both in-and out-ofplane, 20,23,36 and half auxetic properties. 21 Despite the tremendous potential of two-dimensional materials with NPR across diverse fields, the existing repertoire of materials displaying auxetic behavior remains relatively limited, and those exhibiting both in-and out-of-plane directional auxetic phenomena are even rarer.…”