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# program to draw a box with a hat using turtle
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import turtle # allows us to use turtles
import math # need this for the hat :-)
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# set up the drawing
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wn = turtle.Screen() # draw the window for the picture
box = turtle.Turtle() # create a turtle, called "box"
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# draw the box
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box.forward(30) # tell box to move forward some
box.right(90) # tell box to turn right
box.forward(30) # tell box to move forward some
box.right(90) # tell box to turn right
box.forward(30) # tell box to move forward some
box.right(90) # tell box to turn right
box.forward(30) # tell box to move forward some
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# now let's draw the hat
# the length of each side of the hat is calculated using
# the Pythagorean theorem for a right triangle; the hat
# side lengths x are equal, and form the legs of the triange;
# the box length is the hypotenuse c, so x**2 + x**2 = c**2;
# solving for x gives sqrt((c**2)/2)
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box.right(45) # tell box to turn right half a turn
box.forward(math.sqrt((30**2)/2)) # tell box to move forward some
box. right(90) # tell box to turn right
box.forward(math.sqrt((30**2)/2)) # tell box to move forward some
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# now display the result
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wn.mainloop() # wait until the user closes the window