Write a method that takes a page and a bounding box and draws a red-and-black 8-by-8 checkerboard (with a red square in the top-left) that fills the given bounding box (fill it completely, so that the width of the cells may differ from their height). If either the width or height of a cell would be smaller than 2 pixels, do not draw the checkerboard, but instead draw a single magenta rectangle filling the entire bounding box. Using this method, draw two checkerboards -- one in the top-left and another in the bottom-right quadrants of the window.
First, write a method that takes a page, a color, a center point (cx,cy), and a radius, and -- using the technique we covered in class -- draws a single astroid (the type of hypocycloid in the Steelers logo) in the given color that is just contained by the circle with the given center and radius. Here is a picture of an astroid drawn in this manner, with about 10 points on each positive or negative coordinate axis:
Next, write a method that takes a page, a center point (cx,cy), and a radius, and -- using your astroid-drawing method -- draws a Steelers logo just contained by the circle with the given center and radius. Here is a picture of a Steelers logo:
Note that you do not have to exactly color match (use built-in colors), and you do not have to exactly match the font (but you should use a bold font, at least), and you do not have to exactly place the "Steelers" string (do an ok job, but we have not learned how to center or otherwise accurately place strings, so "close" is close enough for this problem). This assignment is about methods, loops, and conditionals, and not about strings, so do not spend too much time perfecting how the string looks!
Finally, use this Steelers-logo-drawing method as follows:
- In the bottom-left quadrant of the window:
Draw a single Steelers logo, centered in the quadrant, as large as the smaller of the quadrant's width and height (so the logo just fits into the smaller of the two dimensions of the quadrant). If the quadrant is too small to draw a reasonable Steelers logo, just draw a single green astroid centered in the quadrant.
- In the top-right quadrant of the window:
Draw a 3-by-3 "checkerboard of Steelers logos", where the Steelers logos replace the red squares in a standard red-and-black checkerboard (again, with the red square -- now the Steelers logo -- in the top left). If the quadrant is too small to draw this many reasonable Steelers logos, each of them should be replaced with a single green astroid of the same size. Don't worry if the quadrant gets too small to even see these green astroids.
In hw7b, you were asked to write mystery methods (describable in English) and code snippets (for tracing). Here, you are provided with these -- both yours and your classmates -- as an excellent opportunity to study for the upcoming test. This exercise is peculiar in that the answers are provided for you. WHAT TO TURN IN: A statement (based on the honor code, and included as a comment just after your name at the top of the program you submit) indicating how much time you invested in this exercise. For this part of the assignment, each minute you invest earns 2% of the credit, up to 100% for 50 minutes. Again, there is nothing to submit beyond this statement of time invested.
Student-authored mystery methods are here: Hw7c-students.zip