Take the closed interval [0, 1]. Remove the open interval that forms the middle third, that is, the open interval $(\frac{1}{3},\frac{2}{3})$. From each of the remaining intervals again remove the open interval that forms the middle third. The Cantor set is the set that remains when this process is continued indefinitely. It consists of those numbers with ternary representation (0.d₁d₂d₃…)₃ where each d_i equals 0 or 2. The set is uncountable, is null, and has fractal dimension log2/log3 = 0.63 to 2 d.p.