
George Cantor (18451918) constructed the Cantor dust.
The fractal dimension of the Cantor dust is equal to log4/log3, what is about 1.26186
^{1)}. The fractal dimension of the box fractal is equal to log5/log3, what is about 1.46497 ^{2}^{)}. An alternative Cantor dust has as motif to divide the square into 16 equal
parts and let only (arbitrary) four remain. Sometimes the Cantor dust name is given to the Cantor set. 1) Fractal dimension = log N / log e, where N is the number of segments
and e the magnification. 2) Fractal dimension = log N / log e, where N is the number of segments
and e the magnification. 3) Fractal dimension = log N / log e, where N is the number of segments
and e the magnification. 