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Unit 4:  Lines: polyline and polygon functions

1) polyline Now you can draw things like sequences of lines by giving a list of points in the coordinate plane to a function called polyline:

program = drawingOf(zigzag)

zigzag  = polyline([(-2, 0), (-1, 1), (0, -1), (1, 1), (2, 0)])

The square brackets form something called a list. You haven't seen lists before, but they are just what they sound like: collections of multiple things in order. When drawing lines and polygons, you will place your points in a list (in square brackets) before giving them to the function.

2) polygon To draw a closed shape, which ends back where it started, you can use polygon instead. Can you figure out the mystery picture before you run it?

program = drawingOf(mystery)

mystery = polygon(

    [(-3, -4), (0, 5), (3, -4), (-4, 2), (4, 2), (-3, -4)])

3) solidPolygon If you prefer to fill in your shape, you can use solidPolygon instead of polygon and you'll get a solid version.

program = drawingOf(mystery)

mystery = solidPolygon(

    [(-3, -4), (0, 5), (3, -4), (-4, 2), (4, 2), (-3, -4)])

program = drawingOf(coordinatePlane & fullPic)

pic1 = polyline( [ (0,1), (3,4), (4,3), (1,0) ] )

  & polyline( [(4,0), (7,3), (9,3), (10,2), (10,1), (9,0)] )

  & polyline( [(3,4), (3,6), (5,9), (7,9), (9,7), (9,5), (6,3), (4,3)] )

  & polyline( [(5,9), (5,7), (7,5), (9,5)] )

fullPic = pic1

-- Create pic2 by reflecting pic1 across y-axis (the line with the angle of 90 degree)

-- pic2 = reflected(pic1, 90)

--fullPic = pic1 & pic2

---------------------------

-- Add remaining lines:

-- (5,9) (5,7) (7,5) (9,5) STOP 

-- (0,9) (1,6) (2,7) (1,4) (2,5) (0,1) STOP 

-- (9,5) (8,7) (7,8) (6,8) (6,7) (7,6) (8,6) (7,7) STOP 

-- (2,1) (3,1) (3,2) STOP 

-- (6,6) (6,5) (5,5) (5,4) (4,4) (4,3) STOP]

--

Unit 2.2:  Transformation Functions: Creating a Monster

Game 1 - Funny Eyes: Read the program below and decide which eye is  eye1   and which one  is eye2.

-- Easy example for you to COPY/PASTE  (use these key combinations: Command-C and Command-V)

program = drawingOf(coordinatePlane & eyes)

cir1 = solidCircle(1)

eye = colored(cir1, green)

eye1 = translated(eye, 2,3)

eye2 = translated(eye, -2,3)

eyes = eye1 & eye2

Game 2 - Funny Eyes: Modify the "Eye" program:

• add a third eye  (Optional: Add more eyes)

• change the eyes' color

• add a mouth (e.g. a red cirlce)

• add the head (a big circle)

Unit 2.1:  Transformation Functions: translated, colored, dilated

Game 1 - Moving Circles: Read the program below and decide which circle is  cir2   and which one  is cir3.

Game 2 - Coloring circles: Copy/past the program below, run it and modify:

• change the color of cir2   (from  green to your favorite color)

• OPTIONAL: change the color of  cir4   to  dark  blue 

Game 3 - Snowman: Copy/past the program below, run it. 

• Change the color of our snowman

• OPTIONAL:  add eyes