read("turtle.txt"):ResetTurtle();In order to "glue" sequences of letters together we use the maple comand "cat". EXAMPLEcat('F','RR');Maple has a comand to produce sequencesqq:=seq(x^i,i=2..4);

NiM+SSNxcUc2IjYlKiRJInhHRiUiIiMqJEYoIiIkKiRGKCIiJQ==

cat(qq);aa:=seq('FLFR',i=1..6);

NiM+SSNhYUc2IjYoSSVGTEZSR0YlRidGJ0YnRidGJw==

cat(aa);

NiNJOUZMRlJGTEZSRkxGUkZMRlJGTEZSRkxGUkc2Ig==

Then we can "glue" the elements of our sequence with the cat command.fig:=cat(aa);

NiM+SSRmaWdHNiJJOUZMRlJGTEZSRkxGUkZMRlJGTEZSRkxGUkdGJQ==

TurtleCmd(fig);

LSUlUExPVEc2JS0lJ0NVUlZFU0c2JDcvNyQiIiFGKjckJCIiIkYqJEYqRio3JCQiKykqKioqKioqKiohIzVGLDckJCIrKysrKz8hIipGLDckRjQkIiIjRio3JCQiKysrKytJRjZGODckRjskIiIkRio3JCQiKysrKytTRjZGPjckRkEkIiIlRio3JCQiKysrKytdRjZGRDckRkckIiImRio3JCQiKysrKytnRjZGSjckRk0kIiInRiotJSZDT0xPUkc2JiUkUkdCRyRGKiEiIkZWRlYtJSpBWEVTU1RZTEVHNiMlJU5PTkVHLSUoU0NBTElOR0c2IyUsQ09OU1RSQUlORURH

SetTurtleAngle(30);TurtleCmd(cat(seq(cat(R,seq(FR,i=1..12)),j=1..12)));

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

With the above sequence of maple commands, change some of the parameters (angle, number of iterations for i, or j) and try to understand the output.

Our First Proceduretriang:=proc() SetTurtleAngle(60): TurtleCmd(BRFRB): end proc;

NiM+SSd0cmlhbmdHNiJmKkYlRiVGJUYlQyQtSS9TZXRUdXJ0bGVBbmdsZUdGJTYjIiNnLUkqVHVydGxlQ21kR0YlNiNJJkJSRlJCR0YlRiVGJUYl

triang();

LSUlUExPVEc2JS0lJ0NVUlZFU0c2JDcmNyQiIiFGKjckJCEiIkYqJEYqRio3JCQhKyQpKioqKioqXCEjNSQhK0dTRGcnKUYyNyQkIiNDRjIkIiInRjItJSZDT0xPUkc2JiUkUkdCRyRGKkYtRj5GPi0lKkFYRVNTVFlMRUc2IyUlTk9ORUctJShTQ0FMSU5HRzYjJSxDT05TVFJBSU5FREc=

SetInitialTurtleHeading(90): triang();

LSUlUExPVEc2JS0lJ0NVUlZFU0c2JDcmNyQiIiFGKjckJCIrM1EuXj8hIz4kISIiRio3JCQiK1JTRGcnKSEjNSQhKykqKioqKioqXEY0NyQkIiIlRjQkIiIoRjQtJSZDT0xPUkc2JiUkUkdCRyRGKkYwRkBGQC0lKkFYRVNTVFlMRUc2IyUlTk9ORUctJShTQ0FMSU5HRzYjJSxDT05TVFJBSU5FREc=

1. A decagon2. A polygon of n sides3. A circle4. Two polygons of n sides with a common edge.

EXERCISE 1. Draw the figures corresponding to the sequences FRSFR and FFRF and compare them. Can you deduce what S does? 2. Draw the figures corresponding to the sequences FRGFR and FRFF and compare them. Can you deduce what G does?ScalingDraw the picture corresponding to the next sequence of letters, execute the command SetTurtleScale(0.8) and draw the picture again. What can you deduce from the results?

Find the sequence that produces the following figureLSUlUExPVEc2JS0lJ0NVUlZFU0c2JDctNyQiIiFGKjckJCIrSy0lKnBaISM3JEYqRio3JCQiK0pMXi0nKUYuJCEraEZbblhGLjckJCIrbHpJM3RGLiQhKzInRzI+IiEjNjckJCEqO2EkKWYoRi4kISslM1ZsbCJGOjckJCErMScqR3E2RjokISteI1sjZTdGOjckJCErWyJlIm87RjokIipHVmo0IkY6NyQkISssRGskZShGLiQiKyRlVmFvIkY6NyQkIitnZmMiWyJGOiQiKzlQUyEzI0Y6NyQkIitpOV5mT0Y6JCIqYC8qR0RGOjckJCIrazleZk9GOiQhK2Y+KjRJJEY6LSUmQ09MT1JHNiYlJFJHQkckRiohIiJGXG9GXG8tJSpBWEVTU1RZTEVHNiMlJU5PTkVHLSUoU0NBTElOR0c2IyUsQ09OU1RSQUlORURH