Fractals with Optimal Information Dimension

We present novel fractals with dimension that is close to the optimal value of e . The examples are for up to 10-way branching at each iteration, and they include symmetric and asymmetric ones, as well as those where in addition to holes, a few layers of other regions are peeled. Only representative fractals are described, and the method can be used to find many other designs. Since natural systems are likely to be optimal, the examples have potential applications in both natural and engineered systems.