A

David

Darling

Sierpinski Carpet

The Sierpinski Carpet is a fractal, named after Waclaw Sierpinski, that is derived from a square by cutting it into nine equal squares with a 3 × 3 grid, removing the central piece, and then applying the same procedure ad infinitum to the remaining eight squares. It is one of two generalizations of the Cantor set to two dimensions; the other is the Cantor Dust. The Carpet's Hausdorff dimension is log 8/log 3 = 1.8928...

 

Sierpinski Carpet