Write a program that will draw 7 shapes.

Question

Your shapes should:

Start with 0 points
Each increase the number of points by 1 (ie: line- 2 points, triangle- 3 points, square- 4 points, etc.)
Start with a radius of 20 and increase in radius by 20 pixels each time
All be drawn from the same starting position
Initialize Tracy’s starting position using: setposition(0, -150)
Hint: It may be difficult to control both the radius of the shape and the number of points with the value of i. You may want to use a separate variable called radius to control the radius of the shape.

Answer 1

To create a program that draws 7 shapes with the specifications given, we can use the Python turtle graphics library. The shapes will start with 0 points and increase the number of points by 1 for each shape drawn. Additionally, the radius will start at 20 pixels and increase by 20 pixels for each shape.

Here’s an implementation that does that:

import turtle

# Set up the screen and turtle
screen = turtle.Screen()
tracy = turtle.Turtle()

# Function to draw a shape with a specified number of points and radius
def draw_shape(sides, radius):
    angle = 360 / sides
    for _ in range(sides):
        tracy.forward(radius)
        tracy.left(angle)

# Initialize starting position
tracy.setposition(0, -150)

# Draw shapes; number of points starts at 2 and increases up to 8
for i in range(2, 9):  # from 2 points (line) to 8 points (octagon)
    radius = i * 20  # radius increases by 20 pixels for each shape
    draw_shape(i, radius)  # Draw the shape with the current number of points and radius
    tracy.penup()  # Lift the pen to move without drawing
    tracy.setposition(0, tracy.ycor() + 50)  # Move up for the next shape
    tracy.pendown()  # Put the pen down to draw the next shape

# Hide the turtle and finish
tracy.hideturtle()
turtle.done()

Explanation of the Code:

1. Setup:

   • We import the turtle module and create a screen and a turtle named tracy.

2. Function draw_shape:

   • This function takes the number of sides (or points) and the radius as parameters.
   • It calculates the angle to turn for each point and uses a loop to draw the shape with the specified number of points.

3. Starting Position:

   • Tracy's starting position is set at (0, -150).

4. Drawing Shapes:

   • A loop runs from 2 to 8 (to create shapes with 2 to 8 points).
   • For each shape, the radius is calculated as i * 20, where i is the current number of sides.
   • The draw_shape function is called to draw the current shape.
   • After drawing a shape, Tracy moves up by 50 pixels for the next shape without drawing (using penup and pendown).

5. Completion:

   • Finally, we hide the turtle and call turtle.done() to complete the drawing.

You can run the above code in any Python environment with the turtle module available, such as IDLE or any script-based environment that supports it.