4.14. The time-21 map of the forced damped pendulum was introduced in Chapter 2. The following table was made by counting boxes needed to cover the chaotic orbit of the pendulum, using various box sizes. Two hundred million iterations of the time-21 map were made. Find an estimate of the boxdim of this set. If you know some statistics, say what you can about the accuracy of your estimate. Box size Boxes hit 2-2 2-3 2-4 2-5 111 327 939 2702 7839 22229 62566 178040 2-6 2-7 2-8 2-9