Block Fractals

Exercises - Five Block Configuration Interpretation

We have seen the limiting shape has dimension Log(5)/Log(2) = 2.32193.

Because the dimension lies between 2 and 3, we expect

the 1- and 2-dimensional measures are infinite and

the 3-dimensional measure is zero.

Indeed, our computations agree with this.

The perimeter is infinite.

The area is infinite.

The volume is zero.

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