mark

The Sierpinski carpet consists of 8 copes of itself scaled by the factor 1/3. It fits nicely into a square:

What is the Fractal dimension of the Sierpinski carpet?

Also, I generated that image using our IFS Visuzalizer. using the following IFS:

```
[
scale(1/3),
shift([1/3,0]).compose(scale(1/3)),
shift([2/3,0]).compose(scale(1/3)),
shift([0,1/3]).compose(scale(1/3)),
shift([2/3,1/3]).compose(scale(1/3)),
shift([0,2/3]).compose(scale(1/3)),
shift([1/3,2/3]).compose(scale(1/3)),
shift([2/3,2/3]).compose(scale(1/3))
]
```

Try it out! Do be careful with the deterministic mode, though. It can lock up your browser for a few seconds.