Area Of Sierpinski Carpet. Free online sierpinski carpet generator. Notice that these areas go to 0 as n goes to infinity. Created by math nerds from team browserling.
The sierpinski triangle area and perimeter of a you fractal explorer solved finding carpet see exer its decompositions scientific sierpiński sieve from wolfram mathworld oftenpaper net htm as constructed by removing center. A curve that is homeomorphic to a subspace of plane.
Creating one is an iterative procedure.
Start with a square divide it into nine equal squares and remove the central one. Sierpiński demonstrated that his carpet is a universal plane curve. Instead of removing the central third of a triangle the central square piece is removed from a square sliced into thirds horizontally and vertically. The hausdorff dimension of the carpet is log 8 log 3 1 8928.