The gasket as a fractal Consider the filled area(black and the perimeter (the length of all the lines around the filled triangles) As we continue subdividing the area goes to zero but the perimeter goes to infinity This is not an ordinary geometric object It is neither two- nor three-dimensional It is a fractal(fractional dimension) object10 The gasket as a fractal •Consider the filled area (black) and the perimeter (the length of all the lines around the filled triangles) •As we continue subdividing - the area goes to zero - but the perimeter goes to infinity •This is not an ordinary geometric object - It is neither two- nor three-dimensional •It is a fractal (fractional dimension) object