Upon starting up the Fractal Sequence applet, the user is presented with the following controls.
Fractal Sequence Applet (This is The Modified Chaos Game applet)
The ``Sample'' field defaults to points, so that the chaos game
may draw a reasonably complete image before stopping to generate
statistics. The user can edit this to any suitable nonzero natural number.
The ``addr. length'' defaults to , which means that density
statistics will be generated for addresses of length
. The user
may make this any nonzero integer from
to
. Once the specified
number of points have been sampled, the programme pauses (about 20
seconds on my P160 laptop) to calculate densities, and then displays
them in text format in ``Danny's data pit,'' as well as re-colouring
the existing game points appropriately, before continuing to generate
more game points.
The user can choose a ``Pattern'' -- an IFS with probabilities -- or
construct their own. The probabilities in column ``p'' should sum to .
At the bottom of the panel is a display of the number of game points generated, and a field where the user may indicate a substring to be filtered out (see Section 3). For no filtering, leave this field blank. There are two methods of filtering: the default is truncation (forbidden substrings have their last character removed) which is indicated by a ``T'' in the Method field. Users may also choose extraction by typing a capital ``X'' in the Method field -- forbidden substrings will be completely extracted.
Once these choices have been made, clicking the ``Fastest'' button begins plotting points, until ``Stop'' is clicked. Have fun.