Some Geometry with Lists. For this problem you'll write three small, separate but similar, graphics functions: pizza, polygon, and star. Put your code for these in the pizzaPolyStar module. That module is inside the 07-TypesAndLists project that you checked out in class.
Each function takes four arguments:
- a graphics
windowon which to draw - a
centerpoint for the circle - a
radiusfor the circle, and - an odd
numberof sides for the figure.
Then the programs draw pictures as follows:
- (15 pts) The pizza function draws a "pizza pie" with number slices.
- (15 pts) The polygon function draws a circle with an inscribed regular polygon with number sides.
- (15 pts) The star function draws a circle with an inscribed star, generated by connecting every other vertex of a regular polygon. Note that the star function does unusual things if number is even; that is why we require it to be odd.
The pictures below show what the display of your programs should look like for a couple of cases.
Examples when number is 5:
Examples when number is 7:
Be sure to get pizza working before moving on to polygon and star. Each of these problems is slightly more complicated than the one before it, but they'll use similar code.
I've provided a helper function that generates an appropriate list of Points for any values of center, radius, and number. You should call this function from each of your functions.
def calculateVertices(center, radius, number):
'''Returns a list of 'number' points evenly spaced around the
circumference of a circle with the given location and radius.'''
centerX = center.getX()
centerY = center.getY()
# Builds vertices list
vertices = []
for i in range(number):
x = radius * cos(2 * pi * i / number) + centerX
y = radius * sin(2 * pi * i / number) + centerY
vertices.append(Point(x, y))
return vertices
Do you see how you can iterate over the Points stored in the list vertices in order to find endpoints for the lines?
As you finish and test each function, be sure to commit your work to your SVN repository.