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,

案例二十八 Sierpinski海绵.ppt

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