在1915年～1916年期间，波兰数学家Sierpinski构造出一个千疮百孔的Sierpinski海绵。其形成原理是将一个如图（a）所示的立方体沿其各个面等分为9个小立方体，舍弃位于立方体中心的一个小立方体以及位于立方体六个面中心的各个小立方体，如图（b）所示。将20个小立方体继续按相同的方法分割并舍弃位于立方体中心和平面中心处的更小的立方体，就能得到中间有大量空隙的Sierpinski海绵，-In 1915 ~ 1916 period, the Polish mathematician Sierpinski constructed a fault-riddled Sierpinski sponge. Principle of its formation is shown in Figure 1 (a) cube shown in each plane along its divided into nine smaller cubes, discarding the cube center is located in a small cube and the six cube face centers located in all the small cubes, shown in Figure ( b) as shown. Of 20 small cubes continue to split the same way and to abandon Center is located at the cube center and a flat smaller cube, you can get the middle of a large number of gap Sierpinski sponge,