Question

Design and implement a single program: • to produce a simple graphical representation of a set of regular pentagons, as shown in Figure 1 (below). The output should consist of 4 pentagons with sides of length 20, 40, 60 and 80 respectively, nested as shown. A regular pentagon has 5 sides and the inner angle of a regular pentagon is 72 degrees. The distance between any two successive pentagons should be the same: there should be 10 units (measured as a straight line) vertically between the bottom left corners of successive pentagons; there should be 10 units measured horizontally between the bottom left corners of successive pentagons (see Figure 2) that, in principle, can produce larger numbers of pentagons simply by changing one number that specifies the number of pentagons • with the turtle starting at the position that we want to be the bottom left hand corner of the innermost pentagon and the turtle pointing to the right a. produce a top-level decomposition, making use of exactly one loop. At this stage express your answer in terms of two sub-problems. (4 marks) b. Refine your decomposition to give an algorithm, as you include extra detail make use of a second loop. (8 marks)

Answer 1

Here is the code in Python

number_of_pentagons = 4 # change the number to draw as many pentagons

========================================================================


import turtle

def drawPentagon(t, side_length):

    for s in range(5):
        t.forward(side_length)
        t.left(360//5)



def main():

    length = 20
    number_of_pentagons = 4 # change the number to draw as many pentagons
    t = turtle.Turtle()
    s = turtle.Screen()
    for pentagon in range(number_of_pentagons):

        drawPentagon(t,side_length=length)
        t.penup()
        t.right(90)
        t.forward(10)
        t.left(90)
        t.back(10)
        t.pendown()

        length+=20

    s.exitonclick()
main()

1. Proj import turtle 3 def drawPentagon(t, side_length): 5 for s in range (5): t.forward (side_length) t.left (360/75) 7 8 9 10 11 def main(): 12 13 14 15 16 length = 20 number_of_pentagons = 8 # change the number to draw as many pentagon t = turtle. Turtle() s = turtle. Screen() for pentagon in range (number_of_pentagons): 17 18 19 20 21 22 drawPentagon(t,side_length=length) t.penup 0) t.right (90) t. forward (10) t.left (90) t.back (10) t.pendown() 23 24 25 1. Z: Structure 26 27 length+=20 28 29 3.exitonclick() main() 30 * 2: Favorites maino 4: Run 6: TODO Python Console - Terminal

Python Turtle Graphics -

Python Turtle Graphics -