Consider the closed interval [0,1] and label it as C₀ . In the next step, divide the interval [0,1] into three parts [0, 1 3 ], ( 1 3 , 2 3 ), [ 2 3 , 1 ] and delete the middle interval ( 1 3 , 2 3 ) . Let C₁ be the union of the two intervals [0, 1 3 ] and [ 2 3 , 1 ] . In the next step, consider the two intervals in C₁ , divide each of them into three parts of length 1 9 each and delete the middle intervals ( 1 9 ,