Block Fractals

The limiting shape is made of 3 copies scaled by 1/2, so its dimension is log(3)/log(2) < 2. Perimeter is infinite. Area is 0. Volume is 0.	The limiting shape is made of 4 copies scaled by 1/2, so its dimension is log(4)/log(2) = 2. Perimeter is infinite. Area is <= 16. Volume is 0.	The limiting shape is made of 5 copies scaled by 1/2, so its dimension is log(5)/log(2) > 2. Perimeter is infinite. Area is infinite. Volume is 0.

Measurement below the proper dimension gives infinity.

Measurement above the proper dimension gives zero.

Return to block computations.