Mandelbrot set drawing with 2x zoom after mouse click.
Turing Machine described in Roger Penrose's book "The Emperor's New Mind".
Test example contains unary number redouble algorithm:
Map<String, String> algorithm = new HashMap<String, String>() {
{
put("00", "00R");
put("01", "10R");
put("10", "101L");
put("11", "11R");
put("100", "110R");
put("101", "1000R");
put("110", "01S");
put("111", "111R");
put("1000", "1011L");
put("1001", "1001R");
put("1010", "101L");
put("1011", "1011L");
}
};